Noncommutative Mulholland Inequalities Associated with Factors and Their Applications
Abstract In this paper, we obtain noncommutative Mulholland inequalities associated with type I and type $$\mathrm II_1$$ factors, which are generalizations of noncommutative Minkowski inequalities, and conclude that the noncommutative Mulholland inequalities with non-power functions fail to exist f...
Ausführliche Beschreibung
Gespeichert in:
| Autor*in: |
Yang, Yongqiang [verfasserIn] |
|---|
| Format: |
Artikel |
|---|---|
| Sprache: |
Englisch |
| Erschienen: |
2023 |
|---|
| Schlagwörter: |
|---|
| Anmerkung: |
© The Author(s), under exclusive licence to Springer Nature Switzerland AG 2023. Springer Nature or its licensor (e.g. a society or other partner) holds exclusive rights to this article under a publishing agreement with the author(s) or other rightsholder(s); author self-archiving of the accepted manuscript version of this article is solely governed by the terms of such publishing agreement and applicable law. |
|---|
| Übergeordnetes Werk: |
Enthalten in: Complex analysis and operator theory - Springer International Publishing, 2007, 17(2023), 5 vom: 09. Juni |
|---|---|
| Übergeordnetes Werk: |
volume:17 ; year:2023 ; number:5 ; day:09 ; month:06 |
| Links: |
|---|
| DOI / URN: |
10.1007/s11785-023-01357-5 |
|---|
| Katalog-ID: |
OLC2143781806 |
|---|
| LEADER | 01000naa a22002652 4500 | ||
|---|---|---|---|
| 001 | OLC2143781806 | ||
| 003 | DE-627 | ||
| 005 | 20240118095445.0 | ||
| 007 | tu | ||
| 008 | 240118s2023 xx ||||| 00| ||eng c | ||
| 024 | 7 | |a 10.1007/s11785-023-01357-5 |2 doi | |
| 035 | |a (DE-627)OLC2143781806 | ||
| 035 | |a (DE-He213)s11785-023-01357-5-p | ||
| 040 | |a DE-627 |b ger |c DE-627 |e rakwb | ||
| 041 | |a eng | ||
| 082 | 0 | 4 | |a 510 |q VZ |
| 082 | 0 | 4 | |a 510 |q VZ |
| 084 | |a 17,1 |2 ssgn | ||
| 100 | 1 | |a Yang, Yongqiang |e verfasserin |4 aut | |
| 245 | 1 | 0 | |a Noncommutative Mulholland Inequalities Associated with Factors and Their Applications |
| 264 | 1 | |c 2023 | |
| 336 | |a Text |b txt |2 rdacontent | ||
| 337 | |a ohne Hilfsmittel zu benutzen |b n |2 rdamedia | ||
| 338 | |a Band |b nc |2 rdacarrier | ||
| 500 | |a © The Author(s), under exclusive licence to Springer Nature Switzerland AG 2023. Springer Nature or its licensor (e.g. a society or other partner) holds exclusive rights to this article under a publishing agreement with the author(s) or other rightsholder(s); author self-archiving of the accepted manuscript version of this article is solely governed by the terms of such publishing agreement and applicable law. | ||
| 520 | |a Abstract In this paper, we obtain noncommutative Mulholland inequalities associated with type I and type $$\mathrm II_1$$ factors, which are generalizations of noncommutative Minkowski inequalities, and conclude that the noncommutative Mulholland inequalities with non-power functions fail to exist for type $$\mathrm II_\infty $$ factors. As applications of the noncommutative Mulholland inequalities, we prove that functionals $$\phi ^{-1}\circ \tau \circ \phi (|\cdot |)$$ are noncommutative F-norms under same conditions of establishing the noncommutative Mulholland inequalities, and the conclusion also fails to hold for type $$\mathrm II_\infty $$ factors if $$\phi $$ are non-power functions. Furthermore, we prove that the functionals $$\phi ^{-1}\circ \tau \circ \phi (|\cdot |)$$ associated with type I or type II factors, are norms if and only if $$\phi (t)=\phi (1)t^p$$, ($$t\ge 0$$), for some $$p\ge 1$$. In addition, we define noncommutative F-normed spaces by the above noncommutative F-norms and give a positive answer about the uniform convexity of the noncommutative F-normed spaces. | ||
| 650 | 4 | |a Noncommutative Mulholland inequality | |
| 650 | 4 | |a Von Neumann algebra | |
| 650 | 4 | |a Factor | |
| 650 | 4 | |a -norm | |
| 650 | 4 | |a Uniform convexity | |
| 700 | 1 | |a Yan, Cheng |4 aut | |
| 700 | 1 | |a Han, Yazhou |4 aut | |
| 700 | 1 | |a Liu, Shuting |4 aut | |
| 773 | 0 | 8 | |i Enthalten in |t Complex analysis and operator theory |d Springer International Publishing, 2007 |g 17(2023), 5 vom: 09. Juni |w (DE-627)565301047 |w (DE-600)2425163-X |w (DE-576)409490164 |x 1661-8254 |7 nnns |
| 773 | 1 | 8 | |g volume:17 |g year:2023 |g number:5 |g day:09 |g month:06 |
| 856 | 4 | 1 | |u https://doi.org/10.1007/s11785-023-01357-5 |z lizenzpflichtig |3 Volltext |
| 912 | |a GBV_USEFLAG_A | ||
| 912 | |a SYSFLAG_A | ||
| 912 | |a GBV_OLC | ||
| 912 | |a SSG-OLC-MAT | ||
| 912 | |a SSG-OPC-MAT | ||
| 951 | |a AR | ||
| 952 | |d 17 |j 2023 |e 5 |b 09 |c 06 | ||
| author_variant |
y y yy c y cy y h yh s l sl |
|---|---|
| matchkey_str |
article:16618254:2023----::ocmuaieuhladnqaiissoitdihatr |
| hierarchy_sort_str |
2023 |
| publishDate |
2023 |
| allfields |
10.1007/s11785-023-01357-5 doi (DE-627)OLC2143781806 (DE-He213)s11785-023-01357-5-p DE-627 ger DE-627 rakwb eng 510 VZ 510 VZ 17,1 ssgn Yang, Yongqiang verfasserin aut Noncommutative Mulholland Inequalities Associated with Factors and Their Applications 2023 Text txt rdacontent ohne Hilfsmittel zu benutzen n rdamedia Band nc rdacarrier © The Author(s), under exclusive licence to Springer Nature Switzerland AG 2023. Springer Nature or its licensor (e.g. a society or other partner) holds exclusive rights to this article under a publishing agreement with the author(s) or other rightsholder(s); author self-archiving of the accepted manuscript version of this article is solely governed by the terms of such publishing agreement and applicable law. Abstract In this paper, we obtain noncommutative Mulholland inequalities associated with type I and type $$\mathrm II_1$$ factors, which are generalizations of noncommutative Minkowski inequalities, and conclude that the noncommutative Mulholland inequalities with non-power functions fail to exist for type $$\mathrm II_\infty $$ factors. As applications of the noncommutative Mulholland inequalities, we prove that functionals $$\phi ^{-1}\circ \tau \circ \phi (|\cdot |)$$ are noncommutative F-norms under same conditions of establishing the noncommutative Mulholland inequalities, and the conclusion also fails to hold for type $$\mathrm II_\infty $$ factors if $$\phi $$ are non-power functions. Furthermore, we prove that the functionals $$\phi ^{-1}\circ \tau \circ \phi (|\cdot |)$$ associated with type I or type II factors, are norms if and only if $$\phi (t)=\phi (1)t^p$$, ($$t\ge 0$$), for some $$p\ge 1$$. In addition, we define noncommutative F-normed spaces by the above noncommutative F-norms and give a positive answer about the uniform convexity of the noncommutative F-normed spaces. Noncommutative Mulholland inequality Von Neumann algebra Factor -norm Uniform convexity Yan, Cheng aut Han, Yazhou aut Liu, Shuting aut Enthalten in Complex analysis and operator theory Springer International Publishing, 2007 17(2023), 5 vom: 09. Juni (DE-627)565301047 (DE-600)2425163-X (DE-576)409490164 1661-8254 nnns volume:17 year:2023 number:5 day:09 month:06 https://doi.org/10.1007/s11785-023-01357-5 lizenzpflichtig Volltext GBV_USEFLAG_A SYSFLAG_A GBV_OLC SSG-OLC-MAT SSG-OPC-MAT AR 17 2023 5 09 06 |
| spelling |
10.1007/s11785-023-01357-5 doi (DE-627)OLC2143781806 (DE-He213)s11785-023-01357-5-p DE-627 ger DE-627 rakwb eng 510 VZ 510 VZ 17,1 ssgn Yang, Yongqiang verfasserin aut Noncommutative Mulholland Inequalities Associated with Factors and Their Applications 2023 Text txt rdacontent ohne Hilfsmittel zu benutzen n rdamedia Band nc rdacarrier © The Author(s), under exclusive licence to Springer Nature Switzerland AG 2023. Springer Nature or its licensor (e.g. a society or other partner) holds exclusive rights to this article under a publishing agreement with the author(s) or other rightsholder(s); author self-archiving of the accepted manuscript version of this article is solely governed by the terms of such publishing agreement and applicable law. Abstract In this paper, we obtain noncommutative Mulholland inequalities associated with type I and type $$\mathrm II_1$$ factors, which are generalizations of noncommutative Minkowski inequalities, and conclude that the noncommutative Mulholland inequalities with non-power functions fail to exist for type $$\mathrm II_\infty $$ factors. As applications of the noncommutative Mulholland inequalities, we prove that functionals $$\phi ^{-1}\circ \tau \circ \phi (|\cdot |)$$ are noncommutative F-norms under same conditions of establishing the noncommutative Mulholland inequalities, and the conclusion also fails to hold for type $$\mathrm II_\infty $$ factors if $$\phi $$ are non-power functions. Furthermore, we prove that the functionals $$\phi ^{-1}\circ \tau \circ \phi (|\cdot |)$$ associated with type I or type II factors, are norms if and only if $$\phi (t)=\phi (1)t^p$$, ($$t\ge 0$$), for some $$p\ge 1$$. In addition, we define noncommutative F-normed spaces by the above noncommutative F-norms and give a positive answer about the uniform convexity of the noncommutative F-normed spaces. Noncommutative Mulholland inequality Von Neumann algebra Factor -norm Uniform convexity Yan, Cheng aut Han, Yazhou aut Liu, Shuting aut Enthalten in Complex analysis and operator theory Springer International Publishing, 2007 17(2023), 5 vom: 09. Juni (DE-627)565301047 (DE-600)2425163-X (DE-576)409490164 1661-8254 nnns volume:17 year:2023 number:5 day:09 month:06 https://doi.org/10.1007/s11785-023-01357-5 lizenzpflichtig Volltext GBV_USEFLAG_A SYSFLAG_A GBV_OLC SSG-OLC-MAT SSG-OPC-MAT AR 17 2023 5 09 06 |
| allfields_unstemmed |
10.1007/s11785-023-01357-5 doi (DE-627)OLC2143781806 (DE-He213)s11785-023-01357-5-p DE-627 ger DE-627 rakwb eng 510 VZ 510 VZ 17,1 ssgn Yang, Yongqiang verfasserin aut Noncommutative Mulholland Inequalities Associated with Factors and Their Applications 2023 Text txt rdacontent ohne Hilfsmittel zu benutzen n rdamedia Band nc rdacarrier © The Author(s), under exclusive licence to Springer Nature Switzerland AG 2023. Springer Nature or its licensor (e.g. a society or other partner) holds exclusive rights to this article under a publishing agreement with the author(s) or other rightsholder(s); author self-archiving of the accepted manuscript version of this article is solely governed by the terms of such publishing agreement and applicable law. Abstract In this paper, we obtain noncommutative Mulholland inequalities associated with type I and type $$\mathrm II_1$$ factors, which are generalizations of noncommutative Minkowski inequalities, and conclude that the noncommutative Mulholland inequalities with non-power functions fail to exist for type $$\mathrm II_\infty $$ factors. As applications of the noncommutative Mulholland inequalities, we prove that functionals $$\phi ^{-1}\circ \tau \circ \phi (|\cdot |)$$ are noncommutative F-norms under same conditions of establishing the noncommutative Mulholland inequalities, and the conclusion also fails to hold for type $$\mathrm II_\infty $$ factors if $$\phi $$ are non-power functions. Furthermore, we prove that the functionals $$\phi ^{-1}\circ \tau \circ \phi (|\cdot |)$$ associated with type I or type II factors, are norms if and only if $$\phi (t)=\phi (1)t^p$$, ($$t\ge 0$$), for some $$p\ge 1$$. In addition, we define noncommutative F-normed spaces by the above noncommutative F-norms and give a positive answer about the uniform convexity of the noncommutative F-normed spaces. Noncommutative Mulholland inequality Von Neumann algebra Factor -norm Uniform convexity Yan, Cheng aut Han, Yazhou aut Liu, Shuting aut Enthalten in Complex analysis and operator theory Springer International Publishing, 2007 17(2023), 5 vom: 09. Juni (DE-627)565301047 (DE-600)2425163-X (DE-576)409490164 1661-8254 nnns volume:17 year:2023 number:5 day:09 month:06 https://doi.org/10.1007/s11785-023-01357-5 lizenzpflichtig Volltext GBV_USEFLAG_A SYSFLAG_A GBV_OLC SSG-OLC-MAT SSG-OPC-MAT AR 17 2023 5 09 06 |
| allfieldsGer |
10.1007/s11785-023-01357-5 doi (DE-627)OLC2143781806 (DE-He213)s11785-023-01357-5-p DE-627 ger DE-627 rakwb eng 510 VZ 510 VZ 17,1 ssgn Yang, Yongqiang verfasserin aut Noncommutative Mulholland Inequalities Associated with Factors and Their Applications 2023 Text txt rdacontent ohne Hilfsmittel zu benutzen n rdamedia Band nc rdacarrier © The Author(s), under exclusive licence to Springer Nature Switzerland AG 2023. Springer Nature or its licensor (e.g. a society or other partner) holds exclusive rights to this article under a publishing agreement with the author(s) or other rightsholder(s); author self-archiving of the accepted manuscript version of this article is solely governed by the terms of such publishing agreement and applicable law. Abstract In this paper, we obtain noncommutative Mulholland inequalities associated with type I and type $$\mathrm II_1$$ factors, which are generalizations of noncommutative Minkowski inequalities, and conclude that the noncommutative Mulholland inequalities with non-power functions fail to exist for type $$\mathrm II_\infty $$ factors. As applications of the noncommutative Mulholland inequalities, we prove that functionals $$\phi ^{-1}\circ \tau \circ \phi (|\cdot |)$$ are noncommutative F-norms under same conditions of establishing the noncommutative Mulholland inequalities, and the conclusion also fails to hold for type $$\mathrm II_\infty $$ factors if $$\phi $$ are non-power functions. Furthermore, we prove that the functionals $$\phi ^{-1}\circ \tau \circ \phi (|\cdot |)$$ associated with type I or type II factors, are norms if and only if $$\phi (t)=\phi (1)t^p$$, ($$t\ge 0$$), for some $$p\ge 1$$. In addition, we define noncommutative F-normed spaces by the above noncommutative F-norms and give a positive answer about the uniform convexity of the noncommutative F-normed spaces. Noncommutative Mulholland inequality Von Neumann algebra Factor -norm Uniform convexity Yan, Cheng aut Han, Yazhou aut Liu, Shuting aut Enthalten in Complex analysis and operator theory Springer International Publishing, 2007 17(2023), 5 vom: 09. Juni (DE-627)565301047 (DE-600)2425163-X (DE-576)409490164 1661-8254 nnns volume:17 year:2023 number:5 day:09 month:06 https://doi.org/10.1007/s11785-023-01357-5 lizenzpflichtig Volltext GBV_USEFLAG_A SYSFLAG_A GBV_OLC SSG-OLC-MAT SSG-OPC-MAT AR 17 2023 5 09 06 |
| allfieldsSound |
10.1007/s11785-023-01357-5 doi (DE-627)OLC2143781806 (DE-He213)s11785-023-01357-5-p DE-627 ger DE-627 rakwb eng 510 VZ 510 VZ 17,1 ssgn Yang, Yongqiang verfasserin aut Noncommutative Mulholland Inequalities Associated with Factors and Their Applications 2023 Text txt rdacontent ohne Hilfsmittel zu benutzen n rdamedia Band nc rdacarrier © The Author(s), under exclusive licence to Springer Nature Switzerland AG 2023. Springer Nature or its licensor (e.g. a society or other partner) holds exclusive rights to this article under a publishing agreement with the author(s) or other rightsholder(s); author self-archiving of the accepted manuscript version of this article is solely governed by the terms of such publishing agreement and applicable law. Abstract In this paper, we obtain noncommutative Mulholland inequalities associated with type I and type $$\mathrm II_1$$ factors, which are generalizations of noncommutative Minkowski inequalities, and conclude that the noncommutative Mulholland inequalities with non-power functions fail to exist for type $$\mathrm II_\infty $$ factors. As applications of the noncommutative Mulholland inequalities, we prove that functionals $$\phi ^{-1}\circ \tau \circ \phi (|\cdot |)$$ are noncommutative F-norms under same conditions of establishing the noncommutative Mulholland inequalities, and the conclusion also fails to hold for type $$\mathrm II_\infty $$ factors if $$\phi $$ are non-power functions. Furthermore, we prove that the functionals $$\phi ^{-1}\circ \tau \circ \phi (|\cdot |)$$ associated with type I or type II factors, are norms if and only if $$\phi (t)=\phi (1)t^p$$, ($$t\ge 0$$), for some $$p\ge 1$$. In addition, we define noncommutative F-normed spaces by the above noncommutative F-norms and give a positive answer about the uniform convexity of the noncommutative F-normed spaces. Noncommutative Mulholland inequality Von Neumann algebra Factor -norm Uniform convexity Yan, Cheng aut Han, Yazhou aut Liu, Shuting aut Enthalten in Complex analysis and operator theory Springer International Publishing, 2007 17(2023), 5 vom: 09. Juni (DE-627)565301047 (DE-600)2425163-X (DE-576)409490164 1661-8254 nnns volume:17 year:2023 number:5 day:09 month:06 https://doi.org/10.1007/s11785-023-01357-5 lizenzpflichtig Volltext GBV_USEFLAG_A SYSFLAG_A GBV_OLC SSG-OLC-MAT SSG-OPC-MAT AR 17 2023 5 09 06 |
| language |
English |
| source |
Enthalten in Complex analysis and operator theory 17(2023), 5 vom: 09. Juni volume:17 year:2023 number:5 day:09 month:06 |
| sourceStr |
Enthalten in Complex analysis and operator theory 17(2023), 5 vom: 09. Juni volume:17 year:2023 number:5 day:09 month:06 |
| format_phy_str_mv |
Article |
| institution |
findex.gbv.de |
| topic_facet |
Noncommutative Mulholland inequality Von Neumann algebra Factor -norm Uniform convexity |
| dewey-raw |
510 |
| isfreeaccess_bool |
false |
| container_title |
Complex analysis and operator theory |
| authorswithroles_txt_mv |
Yang, Yongqiang @@aut@@ Yan, Cheng @@aut@@ Han, Yazhou @@aut@@ Liu, Shuting @@aut@@ |
| publishDateDaySort_date |
2023-06-09T00:00:00Z |
| hierarchy_top_id |
565301047 |
| dewey-sort |
3510 |
| id |
OLC2143781806 |
| language_de |
englisch |
| fullrecord |
<?xml version="1.0" encoding="UTF-8"?><collection xmlns="http://www.loc.gov/MARC21/slim"><record><leader>01000naa a22002652 4500</leader><controlfield tag="001">OLC2143781806</controlfield><controlfield tag="003">DE-627</controlfield><controlfield tag="005">20240118095445.0</controlfield><controlfield tag="007">tu</controlfield><controlfield tag="008">240118s2023 xx ||||| 00| ||eng c</controlfield><datafield tag="024" ind1="7" ind2=" "><subfield code="a">10.1007/s11785-023-01357-5</subfield><subfield code="2">doi</subfield></datafield><datafield tag="035" ind1=" " ind2=" "><subfield code="a">(DE-627)OLC2143781806</subfield></datafield><datafield tag="035" ind1=" " ind2=" "><subfield code="a">(DE-He213)s11785-023-01357-5-p</subfield></datafield><datafield tag="040" ind1=" " ind2=" "><subfield code="a">DE-627</subfield><subfield code="b">ger</subfield><subfield code="c">DE-627</subfield><subfield code="e">rakwb</subfield></datafield><datafield tag="041" ind1=" " ind2=" "><subfield code="a">eng</subfield></datafield><datafield tag="082" ind1="0" ind2="4"><subfield code="a">510</subfield><subfield code="q">VZ</subfield></datafield><datafield tag="082" ind1="0" ind2="4"><subfield code="a">510</subfield><subfield code="q">VZ</subfield></datafield><datafield tag="084" ind1=" " ind2=" "><subfield code="a">17,1</subfield><subfield code="2">ssgn</subfield></datafield><datafield tag="100" ind1="1" ind2=" "><subfield code="a">Yang, Yongqiang</subfield><subfield code="e">verfasserin</subfield><subfield code="4">aut</subfield></datafield><datafield tag="245" ind1="1" ind2="0"><subfield code="a">Noncommutative Mulholland Inequalities Associated with Factors and Their Applications</subfield></datafield><datafield tag="264" ind1=" " ind2="1"><subfield code="c">2023</subfield></datafield><datafield tag="336" ind1=" " ind2=" "><subfield code="a">Text</subfield><subfield code="b">txt</subfield><subfield code="2">rdacontent</subfield></datafield><datafield tag="337" ind1=" " ind2=" "><subfield code="a">ohne Hilfsmittel zu benutzen</subfield><subfield code="b">n</subfield><subfield code="2">rdamedia</subfield></datafield><datafield tag="338" ind1=" " ind2=" "><subfield code="a">Band</subfield><subfield code="b">nc</subfield><subfield code="2">rdacarrier</subfield></datafield><datafield tag="500" ind1=" " ind2=" "><subfield code="a">© The Author(s), under exclusive licence to Springer Nature Switzerland AG 2023. Springer Nature or its licensor (e.g. a society or other partner) holds exclusive rights to this article under a publishing agreement with the author(s) or other rightsholder(s); author self-archiving of the accepted manuscript version of this article is solely governed by the terms of such publishing agreement and applicable law.</subfield></datafield><datafield tag="520" ind1=" " ind2=" "><subfield code="a">Abstract In this paper, we obtain noncommutative Mulholland inequalities associated with type I and type $$\mathrm II_1$$ factors, which are generalizations of noncommutative Minkowski inequalities, and conclude that the noncommutative Mulholland inequalities with non-power functions fail to exist for type $$\mathrm II_\infty $$ factors. As applications of the noncommutative Mulholland inequalities, we prove that functionals $$\phi ^{-1}\circ \tau \circ \phi (|\cdot |)$$ are noncommutative F-norms under same conditions of establishing the noncommutative Mulholland inequalities, and the conclusion also fails to hold for type $$\mathrm II_\infty $$ factors if $$\phi $$ are non-power functions. Furthermore, we prove that the functionals $$\phi ^{-1}\circ \tau \circ \phi (|\cdot |)$$ associated with type I or type II factors, are norms if and only if $$\phi (t)=\phi (1)t^p$$, ($$t\ge 0$$), for some $$p\ge 1$$. In addition, we define noncommutative F-normed spaces by the above noncommutative F-norms and give a positive answer about the uniform convexity of the noncommutative F-normed spaces.</subfield></datafield><datafield tag="650" ind1=" " ind2="4"><subfield code="a">Noncommutative Mulholland inequality</subfield></datafield><datafield tag="650" ind1=" " ind2="4"><subfield code="a">Von Neumann algebra</subfield></datafield><datafield tag="650" ind1=" " ind2="4"><subfield code="a">Factor</subfield></datafield><datafield tag="650" ind1=" " ind2="4"><subfield code="a">-norm</subfield></datafield><datafield tag="650" ind1=" " ind2="4"><subfield code="a">Uniform convexity</subfield></datafield><datafield tag="700" ind1="1" ind2=" "><subfield code="a">Yan, Cheng</subfield><subfield code="4">aut</subfield></datafield><datafield tag="700" ind1="1" ind2=" "><subfield code="a">Han, Yazhou</subfield><subfield code="4">aut</subfield></datafield><datafield tag="700" ind1="1" ind2=" "><subfield code="a">Liu, Shuting</subfield><subfield code="4">aut</subfield></datafield><datafield tag="773" ind1="0" ind2="8"><subfield code="i">Enthalten in</subfield><subfield code="t">Complex analysis and operator theory</subfield><subfield code="d">Springer International Publishing, 2007</subfield><subfield code="g">17(2023), 5 vom: 09. Juni</subfield><subfield code="w">(DE-627)565301047</subfield><subfield code="w">(DE-600)2425163-X</subfield><subfield code="w">(DE-576)409490164</subfield><subfield code="x">1661-8254</subfield><subfield code="7">nnns</subfield></datafield><datafield tag="773" ind1="1" ind2="8"><subfield code="g">volume:17</subfield><subfield code="g">year:2023</subfield><subfield code="g">number:5</subfield><subfield code="g">day:09</subfield><subfield code="g">month:06</subfield></datafield><datafield tag="856" ind1="4" ind2="1"><subfield code="u">https://doi.org/10.1007/s11785-023-01357-5</subfield><subfield code="z">lizenzpflichtig</subfield><subfield code="3">Volltext</subfield></datafield><datafield tag="912" ind1=" " ind2=" "><subfield code="a">GBV_USEFLAG_A</subfield></datafield><datafield tag="912" ind1=" " ind2=" "><subfield code="a">SYSFLAG_A</subfield></datafield><datafield tag="912" ind1=" " ind2=" "><subfield code="a">GBV_OLC</subfield></datafield><datafield tag="912" ind1=" " ind2=" "><subfield code="a">SSG-OLC-MAT</subfield></datafield><datafield tag="912" ind1=" " ind2=" "><subfield code="a">SSG-OPC-MAT</subfield></datafield><datafield tag="951" ind1=" " ind2=" "><subfield code="a">AR</subfield></datafield><datafield tag="952" ind1=" " ind2=" "><subfield code="d">17</subfield><subfield code="j">2023</subfield><subfield code="e">5</subfield><subfield code="b">09</subfield><subfield code="c">06</subfield></datafield></record></collection>
|
| author |
Yang, Yongqiang |
| spellingShingle |
Yang, Yongqiang ddc 510 ssgn 17,1 misc Noncommutative Mulholland inequality misc Von Neumann algebra misc Factor misc -norm misc Uniform convexity Noncommutative Mulholland Inequalities Associated with Factors and Their Applications |
| authorStr |
Yang, Yongqiang |
| ppnlink_with_tag_str_mv |
@@773@@(DE-627)565301047 |
| format |
Article |
| dewey-ones |
510 - Mathematics |
| delete_txt_mv |
keep |
| author_role |
aut aut aut aut |
| collection |
OLC |
| remote_str |
false |
| illustrated |
Not Illustrated |
| issn |
1661-8254 |
| topic_title |
510 VZ 17,1 ssgn Noncommutative Mulholland Inequalities Associated with Factors and Their Applications Noncommutative Mulholland inequality Von Neumann algebra Factor -norm Uniform convexity |
| topic |
ddc 510 ssgn 17,1 misc Noncommutative Mulholland inequality misc Von Neumann algebra misc Factor misc -norm misc Uniform convexity |
| topic_unstemmed |
ddc 510 ssgn 17,1 misc Noncommutative Mulholland inequality misc Von Neumann algebra misc Factor misc -norm misc Uniform convexity |
| topic_browse |
ddc 510 ssgn 17,1 misc Noncommutative Mulholland inequality misc Von Neumann algebra misc Factor misc -norm misc Uniform convexity |
| format_facet |
Aufsätze Gedruckte Aufsätze |
| format_main_str_mv |
Text Zeitschrift/Artikel |
| carriertype_str_mv |
nc |
| hierarchy_parent_title |
Complex analysis and operator theory |
| hierarchy_parent_id |
565301047 |
| dewey-tens |
510 - Mathematics |
| hierarchy_top_title |
Complex analysis and operator theory |
| isfreeaccess_txt |
false |
| familylinks_str_mv |
(DE-627)565301047 (DE-600)2425163-X (DE-576)409490164 |
| title |
Noncommutative Mulholland Inequalities Associated with Factors and Their Applications |
| ctrlnum |
(DE-627)OLC2143781806 (DE-He213)s11785-023-01357-5-p |
| title_full |
Noncommutative Mulholland Inequalities Associated with Factors and Their Applications |
| author_sort |
Yang, Yongqiang |
| journal |
Complex analysis and operator theory |
| journalStr |
Complex analysis and operator theory |
| lang_code |
eng |
| isOA_bool |
false |
| dewey-hundreds |
500 - Science |
| recordtype |
marc |
| publishDateSort |
2023 |
| contenttype_str_mv |
txt |
| author_browse |
Yang, Yongqiang Yan, Cheng Han, Yazhou Liu, Shuting |
| container_volume |
17 |
| class |
510 VZ 17,1 ssgn |
| format_se |
Aufsätze |
| author-letter |
Yang, Yongqiang |
| doi_str_mv |
10.1007/s11785-023-01357-5 |
| dewey-full |
510 |
| title_sort |
noncommutative mulholland inequalities associated with factors and their applications |
| title_auth |
Noncommutative Mulholland Inequalities Associated with Factors and Their Applications |
| abstract |
Abstract In this paper, we obtain noncommutative Mulholland inequalities associated with type I and type $$\mathrm II_1$$ factors, which are generalizations of noncommutative Minkowski inequalities, and conclude that the noncommutative Mulholland inequalities with non-power functions fail to exist for type $$\mathrm II_\infty $$ factors. As applications of the noncommutative Mulholland inequalities, we prove that functionals $$\phi ^{-1}\circ \tau \circ \phi (|\cdot |)$$ are noncommutative F-norms under same conditions of establishing the noncommutative Mulholland inequalities, and the conclusion also fails to hold for type $$\mathrm II_\infty $$ factors if $$\phi $$ are non-power functions. Furthermore, we prove that the functionals $$\phi ^{-1}\circ \tau \circ \phi (|\cdot |)$$ associated with type I or type II factors, are norms if and only if $$\phi (t)=\phi (1)t^p$$, ($$t\ge 0$$), for some $$p\ge 1$$. In addition, we define noncommutative F-normed spaces by the above noncommutative F-norms and give a positive answer about the uniform convexity of the noncommutative F-normed spaces. © The Author(s), under exclusive licence to Springer Nature Switzerland AG 2023. Springer Nature or its licensor (e.g. a society or other partner) holds exclusive rights to this article under a publishing agreement with the author(s) or other rightsholder(s); author self-archiving of the accepted manuscript version of this article is solely governed by the terms of such publishing agreement and applicable law. |
| abstractGer |
Abstract In this paper, we obtain noncommutative Mulholland inequalities associated with type I and type $$\mathrm II_1$$ factors, which are generalizations of noncommutative Minkowski inequalities, and conclude that the noncommutative Mulholland inequalities with non-power functions fail to exist for type $$\mathrm II_\infty $$ factors. As applications of the noncommutative Mulholland inequalities, we prove that functionals $$\phi ^{-1}\circ \tau \circ \phi (|\cdot |)$$ are noncommutative F-norms under same conditions of establishing the noncommutative Mulholland inequalities, and the conclusion also fails to hold for type $$\mathrm II_\infty $$ factors if $$\phi $$ are non-power functions. Furthermore, we prove that the functionals $$\phi ^{-1}\circ \tau \circ \phi (|\cdot |)$$ associated with type I or type II factors, are norms if and only if $$\phi (t)=\phi (1)t^p$$, ($$t\ge 0$$), for some $$p\ge 1$$. In addition, we define noncommutative F-normed spaces by the above noncommutative F-norms and give a positive answer about the uniform convexity of the noncommutative F-normed spaces. © The Author(s), under exclusive licence to Springer Nature Switzerland AG 2023. Springer Nature or its licensor (e.g. a society or other partner) holds exclusive rights to this article under a publishing agreement with the author(s) or other rightsholder(s); author self-archiving of the accepted manuscript version of this article is solely governed by the terms of such publishing agreement and applicable law. |
| abstract_unstemmed |
Abstract In this paper, we obtain noncommutative Mulholland inequalities associated with type I and type $$\mathrm II_1$$ factors, which are generalizations of noncommutative Minkowski inequalities, and conclude that the noncommutative Mulholland inequalities with non-power functions fail to exist for type $$\mathrm II_\infty $$ factors. As applications of the noncommutative Mulholland inequalities, we prove that functionals $$\phi ^{-1}\circ \tau \circ \phi (|\cdot |)$$ are noncommutative F-norms under same conditions of establishing the noncommutative Mulholland inequalities, and the conclusion also fails to hold for type $$\mathrm II_\infty $$ factors if $$\phi $$ are non-power functions. Furthermore, we prove that the functionals $$\phi ^{-1}\circ \tau \circ \phi (|\cdot |)$$ associated with type I or type II factors, are norms if and only if $$\phi (t)=\phi (1)t^p$$, ($$t\ge 0$$), for some $$p\ge 1$$. In addition, we define noncommutative F-normed spaces by the above noncommutative F-norms and give a positive answer about the uniform convexity of the noncommutative F-normed spaces. © The Author(s), under exclusive licence to Springer Nature Switzerland AG 2023. Springer Nature or its licensor (e.g. a society or other partner) holds exclusive rights to this article under a publishing agreement with the author(s) or other rightsholder(s); author self-archiving of the accepted manuscript version of this article is solely governed by the terms of such publishing agreement and applicable law. |
| collection_details |
GBV_USEFLAG_A SYSFLAG_A GBV_OLC SSG-OLC-MAT SSG-OPC-MAT |
| container_issue |
5 |
| title_short |
Noncommutative Mulholland Inequalities Associated with Factors and Their Applications |
| url |
https://doi.org/10.1007/s11785-023-01357-5 |
| remote_bool |
false |
| author2 |
Yan, Cheng Han, Yazhou Liu, Shuting |
| author2Str |
Yan, Cheng Han, Yazhou Liu, Shuting |
| ppnlink |
565301047 |
| mediatype_str_mv |
n |
| isOA_txt |
false |
| hochschulschrift_bool |
false |
| doi_str |
10.1007/s11785-023-01357-5 |
| up_date |
2024-07-03T18:02:55.498Z |
| _version_ |
1803581941877833728 |
| fullrecord_marcxml |
<?xml version="1.0" encoding="UTF-8"?><collection xmlns="http://www.loc.gov/MARC21/slim"><record><leader>01000naa a22002652 4500</leader><controlfield tag="001">OLC2143781806</controlfield><controlfield tag="003">DE-627</controlfield><controlfield tag="005">20240118095445.0</controlfield><controlfield tag="007">tu</controlfield><controlfield tag="008">240118s2023 xx ||||| 00| ||eng c</controlfield><datafield tag="024" ind1="7" ind2=" "><subfield code="a">10.1007/s11785-023-01357-5</subfield><subfield code="2">doi</subfield></datafield><datafield tag="035" ind1=" " ind2=" "><subfield code="a">(DE-627)OLC2143781806</subfield></datafield><datafield tag="035" ind1=" " ind2=" "><subfield code="a">(DE-He213)s11785-023-01357-5-p</subfield></datafield><datafield tag="040" ind1=" " ind2=" "><subfield code="a">DE-627</subfield><subfield code="b">ger</subfield><subfield code="c">DE-627</subfield><subfield code="e">rakwb</subfield></datafield><datafield tag="041" ind1=" " ind2=" "><subfield code="a">eng</subfield></datafield><datafield tag="082" ind1="0" ind2="4"><subfield code="a">510</subfield><subfield code="q">VZ</subfield></datafield><datafield tag="082" ind1="0" ind2="4"><subfield code="a">510</subfield><subfield code="q">VZ</subfield></datafield><datafield tag="084" ind1=" " ind2=" "><subfield code="a">17,1</subfield><subfield code="2">ssgn</subfield></datafield><datafield tag="100" ind1="1" ind2=" "><subfield code="a">Yang, Yongqiang</subfield><subfield code="e">verfasserin</subfield><subfield code="4">aut</subfield></datafield><datafield tag="245" ind1="1" ind2="0"><subfield code="a">Noncommutative Mulholland Inequalities Associated with Factors and Their Applications</subfield></datafield><datafield tag="264" ind1=" " ind2="1"><subfield code="c">2023</subfield></datafield><datafield tag="336" ind1=" " ind2=" "><subfield code="a">Text</subfield><subfield code="b">txt</subfield><subfield code="2">rdacontent</subfield></datafield><datafield tag="337" ind1=" " ind2=" "><subfield code="a">ohne Hilfsmittel zu benutzen</subfield><subfield code="b">n</subfield><subfield code="2">rdamedia</subfield></datafield><datafield tag="338" ind1=" " ind2=" "><subfield code="a">Band</subfield><subfield code="b">nc</subfield><subfield code="2">rdacarrier</subfield></datafield><datafield tag="500" ind1=" " ind2=" "><subfield code="a">© The Author(s), under exclusive licence to Springer Nature Switzerland AG 2023. Springer Nature or its licensor (e.g. a society or other partner) holds exclusive rights to this article under a publishing agreement with the author(s) or other rightsholder(s); author self-archiving of the accepted manuscript version of this article is solely governed by the terms of such publishing agreement and applicable law.</subfield></datafield><datafield tag="520" ind1=" " ind2=" "><subfield code="a">Abstract In this paper, we obtain noncommutative Mulholland inequalities associated with type I and type $$\mathrm II_1$$ factors, which are generalizations of noncommutative Minkowski inequalities, and conclude that the noncommutative Mulholland inequalities with non-power functions fail to exist for type $$\mathrm II_\infty $$ factors. As applications of the noncommutative Mulholland inequalities, we prove that functionals $$\phi ^{-1}\circ \tau \circ \phi (|\cdot |)$$ are noncommutative F-norms under same conditions of establishing the noncommutative Mulholland inequalities, and the conclusion also fails to hold for type $$\mathrm II_\infty $$ factors if $$\phi $$ are non-power functions. Furthermore, we prove that the functionals $$\phi ^{-1}\circ \tau \circ \phi (|\cdot |)$$ associated with type I or type II factors, are norms if and only if $$\phi (t)=\phi (1)t^p$$, ($$t\ge 0$$), for some $$p\ge 1$$. In addition, we define noncommutative F-normed spaces by the above noncommutative F-norms and give a positive answer about the uniform convexity of the noncommutative F-normed spaces.</subfield></datafield><datafield tag="650" ind1=" " ind2="4"><subfield code="a">Noncommutative Mulholland inequality</subfield></datafield><datafield tag="650" ind1=" " ind2="4"><subfield code="a">Von Neumann algebra</subfield></datafield><datafield tag="650" ind1=" " ind2="4"><subfield code="a">Factor</subfield></datafield><datafield tag="650" ind1=" " ind2="4"><subfield code="a">-norm</subfield></datafield><datafield tag="650" ind1=" " ind2="4"><subfield code="a">Uniform convexity</subfield></datafield><datafield tag="700" ind1="1" ind2=" "><subfield code="a">Yan, Cheng</subfield><subfield code="4">aut</subfield></datafield><datafield tag="700" ind1="1" ind2=" "><subfield code="a">Han, Yazhou</subfield><subfield code="4">aut</subfield></datafield><datafield tag="700" ind1="1" ind2=" "><subfield code="a">Liu, Shuting</subfield><subfield code="4">aut</subfield></datafield><datafield tag="773" ind1="0" ind2="8"><subfield code="i">Enthalten in</subfield><subfield code="t">Complex analysis and operator theory</subfield><subfield code="d">Springer International Publishing, 2007</subfield><subfield code="g">17(2023), 5 vom: 09. Juni</subfield><subfield code="w">(DE-627)565301047</subfield><subfield code="w">(DE-600)2425163-X</subfield><subfield code="w">(DE-576)409490164</subfield><subfield code="x">1661-8254</subfield><subfield code="7">nnns</subfield></datafield><datafield tag="773" ind1="1" ind2="8"><subfield code="g">volume:17</subfield><subfield code="g">year:2023</subfield><subfield code="g">number:5</subfield><subfield code="g">day:09</subfield><subfield code="g">month:06</subfield></datafield><datafield tag="856" ind1="4" ind2="1"><subfield code="u">https://doi.org/10.1007/s11785-023-01357-5</subfield><subfield code="z">lizenzpflichtig</subfield><subfield code="3">Volltext</subfield></datafield><datafield tag="912" ind1=" " ind2=" "><subfield code="a">GBV_USEFLAG_A</subfield></datafield><datafield tag="912" ind1=" " ind2=" "><subfield code="a">SYSFLAG_A</subfield></datafield><datafield tag="912" ind1=" " ind2=" "><subfield code="a">GBV_OLC</subfield></datafield><datafield tag="912" ind1=" " ind2=" "><subfield code="a">SSG-OLC-MAT</subfield></datafield><datafield tag="912" ind1=" " ind2=" "><subfield code="a">SSG-OPC-MAT</subfield></datafield><datafield tag="951" ind1=" " ind2=" "><subfield code="a">AR</subfield></datafield><datafield tag="952" ind1=" " ind2=" "><subfield code="d">17</subfield><subfield code="j">2023</subfield><subfield code="e">5</subfield><subfield code="b">09</subfield><subfield code="c">06</subfield></datafield></record></collection>
|
| score |
7.3994284 |