On b-AM-compact and AM-compact operators
Abstract Recently B. Aqzzouz and J H’Michane introduced the class of b-AM-compact operators and studied some of its properties. In this paper, we give some new characterizations of this class of operators. In this regard, it will be focused on the duality property of b-AM-compact operators. Also, we...
Ausführliche Beschreibung
Gespeichert in:
| Autor*in: |
Hajji, Mohamed [verfasserIn] |
|---|
| Format: |
Artikel |
|---|---|
| Sprache: |
Englisch |
| Erschienen: |
2022 |
|---|
| Schlagwörter: |
|---|
| Anmerkung: |
© The Author(s), under exclusive licence to Springer Nature Switzerland AG 2022 |
|---|
| Übergeordnetes Werk: |
Enthalten in: Positivity - Springer International Publishing, 1997, 26(2022), 3 vom: 15. Juni |
|---|---|
| Übergeordnetes Werk: |
volume:26 ; year:2022 ; number:3 ; day:15 ; month:06 |
| Links: |
|---|
| DOI / URN: |
10.1007/s11117-022-00922-0 |
|---|
| Katalog-ID: |
OLC2078916862 |
|---|
| LEADER | 01000caa a22002652 4500 | ||
|---|---|---|---|
| 001 | OLC2078916862 | ||
| 003 | DE-627 | ||
| 005 | 20230506034220.0 | ||
| 007 | tu | ||
| 008 | 221220s2022 xx ||||| 00| ||eng c | ||
| 024 | 7 | |a 10.1007/s11117-022-00922-0 |2 doi | |
| 035 | |a (DE-627)OLC2078916862 | ||
| 035 | |a (DE-He213)s11117-022-00922-0-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 Hajji, Mohamed |e verfasserin |4 aut | |
| 245 | 1 | 0 | |a On b-AM-compact and AM-compact operators |
| 264 | 1 | |c 2022 | |
| 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 2022 | ||
| 520 | |a Abstract Recently B. Aqzzouz and J H’Michane introduced the class of b-AM-compact operators and studied some of its properties. In this paper, we give some new characterizations of this class of operators. In this regard, it will be focused on the duality property of b-AM-compact operators. Also, we introduce a ‘new’ notion of set in normed Riesz space called $$\Vert $$.$$\Vert -$$b-order bounded set and we prove that any bounded operator T from a normed Riesz space E into a Banach space X such that T carries each $$\Vert $$.$$\Vert -$$b-order bounded set of E into a relatively compact set of X extends to b-AM-compact operator from $$\hat{E}$$ (where $$\hat{E}$$ is the completion of E) into X. Finally, we close this paper by new results concerning the domination problem by AM-compact operators. | ||
| 650 | 4 | |a AM-compact operator | |
| 650 | 4 | |a b-AM-compact operator | |
| 650 | 4 | |a LW-compact operator | |
| 650 | 4 | |a b-order bounded set | |
| 650 | 4 | |a L-weakly compact set | |
| 650 | 4 | |a Relatively compact set | |
| 650 | 4 | |a Order continuous norm | |
| 650 | 4 | |a Domination | |
| 700 | 1 | |a Mahfoudhi, Mounir |0 (orcid)0000-0002-8406-6618 |4 aut | |
| 773 | 0 | 8 | |i Enthalten in |t Positivity |d Springer International Publishing, 1997 |g 26(2022), 3 vom: 15. Juni |w (DE-627)243279434 |w (DE-600)1426263-0 |w (DE-576)066430526 |x 1385-1292 |7 nnns |
| 773 | 1 | 8 | |g volume:26 |g year:2022 |g number:3 |g day:15 |g month:06 |
| 856 | 4 | 1 | |u https://doi.org/10.1007/s11117-022-00922-0 |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 | ||
| 912 | |a GBV_ILN_2088 | ||
| 951 | |a AR | ||
| 952 | |d 26 |j 2022 |e 3 |b 15 |c 06 | ||
| author_variant |
m h mh m m mm |
|---|---|
| matchkey_str |
article:13851292:2022----::nacmatnacmat |
| hierarchy_sort_str |
2022 |
| publishDate |
2022 |
| allfields |
10.1007/s11117-022-00922-0 doi (DE-627)OLC2078916862 (DE-He213)s11117-022-00922-0-p DE-627 ger DE-627 rakwb eng 510 VZ 510 VZ 17,1 ssgn Hajji, Mohamed verfasserin aut On b-AM-compact and AM-compact operators 2022 Text txt rdacontent ohne Hilfsmittel zu benutzen n rdamedia Band nc rdacarrier © The Author(s), under exclusive licence to Springer Nature Switzerland AG 2022 Abstract Recently B. Aqzzouz and J H’Michane introduced the class of b-AM-compact operators and studied some of its properties. In this paper, we give some new characterizations of this class of operators. In this regard, it will be focused on the duality property of b-AM-compact operators. Also, we introduce a ‘new’ notion of set in normed Riesz space called $$\Vert $$.$$\Vert -$$b-order bounded set and we prove that any bounded operator T from a normed Riesz space E into a Banach space X such that T carries each $$\Vert $$.$$\Vert -$$b-order bounded set of E into a relatively compact set of X extends to b-AM-compact operator from $$\hat{E}$$ (where $$\hat{E}$$ is the completion of E) into X. Finally, we close this paper by new results concerning the domination problem by AM-compact operators. AM-compact operator b-AM-compact operator LW-compact operator b-order bounded set L-weakly compact set Relatively compact set Order continuous norm Domination Mahfoudhi, Mounir (orcid)0000-0002-8406-6618 aut Enthalten in Positivity Springer International Publishing, 1997 26(2022), 3 vom: 15. Juni (DE-627)243279434 (DE-600)1426263-0 (DE-576)066430526 1385-1292 nnns volume:26 year:2022 number:3 day:15 month:06 https://doi.org/10.1007/s11117-022-00922-0 lizenzpflichtig Volltext GBV_USEFLAG_A SYSFLAG_A GBV_OLC SSG-OLC-MAT SSG-OPC-MAT GBV_ILN_2088 AR 26 2022 3 15 06 |
| spelling |
10.1007/s11117-022-00922-0 doi (DE-627)OLC2078916862 (DE-He213)s11117-022-00922-0-p DE-627 ger DE-627 rakwb eng 510 VZ 510 VZ 17,1 ssgn Hajji, Mohamed verfasserin aut On b-AM-compact and AM-compact operators 2022 Text txt rdacontent ohne Hilfsmittel zu benutzen n rdamedia Band nc rdacarrier © The Author(s), under exclusive licence to Springer Nature Switzerland AG 2022 Abstract Recently B. Aqzzouz and J H’Michane introduced the class of b-AM-compact operators and studied some of its properties. In this paper, we give some new characterizations of this class of operators. In this regard, it will be focused on the duality property of b-AM-compact operators. Also, we introduce a ‘new’ notion of set in normed Riesz space called $$\Vert $$.$$\Vert -$$b-order bounded set and we prove that any bounded operator T from a normed Riesz space E into a Banach space X such that T carries each $$\Vert $$.$$\Vert -$$b-order bounded set of E into a relatively compact set of X extends to b-AM-compact operator from $$\hat{E}$$ (where $$\hat{E}$$ is the completion of E) into X. Finally, we close this paper by new results concerning the domination problem by AM-compact operators. AM-compact operator b-AM-compact operator LW-compact operator b-order bounded set L-weakly compact set Relatively compact set Order continuous norm Domination Mahfoudhi, Mounir (orcid)0000-0002-8406-6618 aut Enthalten in Positivity Springer International Publishing, 1997 26(2022), 3 vom: 15. Juni (DE-627)243279434 (DE-600)1426263-0 (DE-576)066430526 1385-1292 nnns volume:26 year:2022 number:3 day:15 month:06 https://doi.org/10.1007/s11117-022-00922-0 lizenzpflichtig Volltext GBV_USEFLAG_A SYSFLAG_A GBV_OLC SSG-OLC-MAT SSG-OPC-MAT GBV_ILN_2088 AR 26 2022 3 15 06 |
| allfields_unstemmed |
10.1007/s11117-022-00922-0 doi (DE-627)OLC2078916862 (DE-He213)s11117-022-00922-0-p DE-627 ger DE-627 rakwb eng 510 VZ 510 VZ 17,1 ssgn Hajji, Mohamed verfasserin aut On b-AM-compact and AM-compact operators 2022 Text txt rdacontent ohne Hilfsmittel zu benutzen n rdamedia Band nc rdacarrier © The Author(s), under exclusive licence to Springer Nature Switzerland AG 2022 Abstract Recently B. Aqzzouz and J H’Michane introduced the class of b-AM-compact operators and studied some of its properties. In this paper, we give some new characterizations of this class of operators. In this regard, it will be focused on the duality property of b-AM-compact operators. Also, we introduce a ‘new’ notion of set in normed Riesz space called $$\Vert $$.$$\Vert -$$b-order bounded set and we prove that any bounded operator T from a normed Riesz space E into a Banach space X such that T carries each $$\Vert $$.$$\Vert -$$b-order bounded set of E into a relatively compact set of X extends to b-AM-compact operator from $$\hat{E}$$ (where $$\hat{E}$$ is the completion of E) into X. Finally, we close this paper by new results concerning the domination problem by AM-compact operators. AM-compact operator b-AM-compact operator LW-compact operator b-order bounded set L-weakly compact set Relatively compact set Order continuous norm Domination Mahfoudhi, Mounir (orcid)0000-0002-8406-6618 aut Enthalten in Positivity Springer International Publishing, 1997 26(2022), 3 vom: 15. Juni (DE-627)243279434 (DE-600)1426263-0 (DE-576)066430526 1385-1292 nnns volume:26 year:2022 number:3 day:15 month:06 https://doi.org/10.1007/s11117-022-00922-0 lizenzpflichtig Volltext GBV_USEFLAG_A SYSFLAG_A GBV_OLC SSG-OLC-MAT SSG-OPC-MAT GBV_ILN_2088 AR 26 2022 3 15 06 |
| allfieldsGer |
10.1007/s11117-022-00922-0 doi (DE-627)OLC2078916862 (DE-He213)s11117-022-00922-0-p DE-627 ger DE-627 rakwb eng 510 VZ 510 VZ 17,1 ssgn Hajji, Mohamed verfasserin aut On b-AM-compact and AM-compact operators 2022 Text txt rdacontent ohne Hilfsmittel zu benutzen n rdamedia Band nc rdacarrier © The Author(s), under exclusive licence to Springer Nature Switzerland AG 2022 Abstract Recently B. Aqzzouz and J H’Michane introduced the class of b-AM-compact operators and studied some of its properties. In this paper, we give some new characterizations of this class of operators. In this regard, it will be focused on the duality property of b-AM-compact operators. Also, we introduce a ‘new’ notion of set in normed Riesz space called $$\Vert $$.$$\Vert -$$b-order bounded set and we prove that any bounded operator T from a normed Riesz space E into a Banach space X such that T carries each $$\Vert $$.$$\Vert -$$b-order bounded set of E into a relatively compact set of X extends to b-AM-compact operator from $$\hat{E}$$ (where $$\hat{E}$$ is the completion of E) into X. Finally, we close this paper by new results concerning the domination problem by AM-compact operators. AM-compact operator b-AM-compact operator LW-compact operator b-order bounded set L-weakly compact set Relatively compact set Order continuous norm Domination Mahfoudhi, Mounir (orcid)0000-0002-8406-6618 aut Enthalten in Positivity Springer International Publishing, 1997 26(2022), 3 vom: 15. Juni (DE-627)243279434 (DE-600)1426263-0 (DE-576)066430526 1385-1292 nnns volume:26 year:2022 number:3 day:15 month:06 https://doi.org/10.1007/s11117-022-00922-0 lizenzpflichtig Volltext GBV_USEFLAG_A SYSFLAG_A GBV_OLC SSG-OLC-MAT SSG-OPC-MAT GBV_ILN_2088 AR 26 2022 3 15 06 |
| allfieldsSound |
10.1007/s11117-022-00922-0 doi (DE-627)OLC2078916862 (DE-He213)s11117-022-00922-0-p DE-627 ger DE-627 rakwb eng 510 VZ 510 VZ 17,1 ssgn Hajji, Mohamed verfasserin aut On b-AM-compact and AM-compact operators 2022 Text txt rdacontent ohne Hilfsmittel zu benutzen n rdamedia Band nc rdacarrier © The Author(s), under exclusive licence to Springer Nature Switzerland AG 2022 Abstract Recently B. Aqzzouz and J H’Michane introduced the class of b-AM-compact operators and studied some of its properties. In this paper, we give some new characterizations of this class of operators. In this regard, it will be focused on the duality property of b-AM-compact operators. Also, we introduce a ‘new’ notion of set in normed Riesz space called $$\Vert $$.$$\Vert -$$b-order bounded set and we prove that any bounded operator T from a normed Riesz space E into a Banach space X such that T carries each $$\Vert $$.$$\Vert -$$b-order bounded set of E into a relatively compact set of X extends to b-AM-compact operator from $$\hat{E}$$ (where $$\hat{E}$$ is the completion of E) into X. Finally, we close this paper by new results concerning the domination problem by AM-compact operators. AM-compact operator b-AM-compact operator LW-compact operator b-order bounded set L-weakly compact set Relatively compact set Order continuous norm Domination Mahfoudhi, Mounir (orcid)0000-0002-8406-6618 aut Enthalten in Positivity Springer International Publishing, 1997 26(2022), 3 vom: 15. Juni (DE-627)243279434 (DE-600)1426263-0 (DE-576)066430526 1385-1292 nnns volume:26 year:2022 number:3 day:15 month:06 https://doi.org/10.1007/s11117-022-00922-0 lizenzpflichtig Volltext GBV_USEFLAG_A SYSFLAG_A GBV_OLC SSG-OLC-MAT SSG-OPC-MAT GBV_ILN_2088 AR 26 2022 3 15 06 |
| language |
English |
| source |
Enthalten in Positivity 26(2022), 3 vom: 15. Juni volume:26 year:2022 number:3 day:15 month:06 |
| sourceStr |
Enthalten in Positivity 26(2022), 3 vom: 15. Juni volume:26 year:2022 number:3 day:15 month:06 |
| format_phy_str_mv |
Article |
| institution |
findex.gbv.de |
| topic_facet |
AM-compact operator b-AM-compact operator LW-compact operator b-order bounded set L-weakly compact set Relatively compact set Order continuous norm Domination |
| dewey-raw |
510 |
| isfreeaccess_bool |
false |
| container_title |
Positivity |
| authorswithroles_txt_mv |
Hajji, Mohamed @@aut@@ Mahfoudhi, Mounir @@aut@@ |
| publishDateDaySort_date |
2022-06-15T00:00:00Z |
| hierarchy_top_id |
243279434 |
| dewey-sort |
3510 |
| id |
OLC2078916862 |
| language_de |
englisch |
| fullrecord |
<?xml version="1.0" encoding="UTF-8"?><collection xmlns="http://www.loc.gov/MARC21/slim"><record><leader>01000caa a22002652 4500</leader><controlfield tag="001">OLC2078916862</controlfield><controlfield tag="003">DE-627</controlfield><controlfield tag="005">20230506034220.0</controlfield><controlfield tag="007">tu</controlfield><controlfield tag="008">221220s2022 xx ||||| 00| ||eng c</controlfield><datafield tag="024" ind1="7" ind2=" "><subfield code="a">10.1007/s11117-022-00922-0</subfield><subfield code="2">doi</subfield></datafield><datafield tag="035" ind1=" " ind2=" "><subfield code="a">(DE-627)OLC2078916862</subfield></datafield><datafield tag="035" ind1=" " ind2=" "><subfield code="a">(DE-He213)s11117-022-00922-0-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">Hajji, Mohamed</subfield><subfield code="e">verfasserin</subfield><subfield code="4">aut</subfield></datafield><datafield tag="245" ind1="1" ind2="0"><subfield code="a">On b-AM-compact and AM-compact operators</subfield></datafield><datafield tag="264" ind1=" " ind2="1"><subfield code="c">2022</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 2022</subfield></datafield><datafield tag="520" ind1=" " ind2=" "><subfield code="a">Abstract Recently B. Aqzzouz and J H’Michane introduced the class of b-AM-compact operators and studied some of its properties. In this paper, we give some new characterizations of this class of operators. In this regard, it will be focused on the duality property of b-AM-compact operators. Also, we introduce a ‘new’ notion of set in normed Riesz space called $$\Vert $$.$$\Vert -$$b-order bounded set and we prove that any bounded operator T from a normed Riesz space E into a Banach space X such that T carries each $$\Vert $$.$$\Vert -$$b-order bounded set of E into a relatively compact set of X extends to b-AM-compact operator from $$\hat{E}$$ (where $$\hat{E}$$ is the completion of E) into X. Finally, we close this paper by new results concerning the domination problem by AM-compact operators.</subfield></datafield><datafield tag="650" ind1=" " ind2="4"><subfield code="a">AM-compact operator</subfield></datafield><datafield tag="650" ind1=" " ind2="4"><subfield code="a">b-AM-compact operator</subfield></datafield><datafield tag="650" ind1=" " ind2="4"><subfield code="a">LW-compact operator</subfield></datafield><datafield tag="650" ind1=" " ind2="4"><subfield code="a">b-order bounded set</subfield></datafield><datafield tag="650" ind1=" " ind2="4"><subfield code="a">L-weakly compact set</subfield></datafield><datafield tag="650" ind1=" " ind2="4"><subfield code="a">Relatively compact set</subfield></datafield><datafield tag="650" ind1=" " ind2="4"><subfield code="a">Order continuous norm</subfield></datafield><datafield tag="650" ind1=" " ind2="4"><subfield code="a">Domination</subfield></datafield><datafield tag="700" ind1="1" ind2=" "><subfield code="a">Mahfoudhi, Mounir</subfield><subfield code="0">(orcid)0000-0002-8406-6618</subfield><subfield code="4">aut</subfield></datafield><datafield tag="773" ind1="0" ind2="8"><subfield code="i">Enthalten in</subfield><subfield code="t">Positivity</subfield><subfield code="d">Springer International Publishing, 1997</subfield><subfield code="g">26(2022), 3 vom: 15. Juni</subfield><subfield code="w">(DE-627)243279434</subfield><subfield code="w">(DE-600)1426263-0</subfield><subfield code="w">(DE-576)066430526</subfield><subfield code="x">1385-1292</subfield><subfield code="7">nnns</subfield></datafield><datafield tag="773" ind1="1" ind2="8"><subfield code="g">volume:26</subfield><subfield code="g">year:2022</subfield><subfield code="g">number:3</subfield><subfield code="g">day:15</subfield><subfield code="g">month:06</subfield></datafield><datafield tag="856" ind1="4" ind2="1"><subfield code="u">https://doi.org/10.1007/s11117-022-00922-0</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="912" ind1=" " ind2=" "><subfield code="a">GBV_ILN_2088</subfield></datafield><datafield tag="951" ind1=" " ind2=" "><subfield code="a">AR</subfield></datafield><datafield tag="952" ind1=" " ind2=" "><subfield code="d">26</subfield><subfield code="j">2022</subfield><subfield code="e">3</subfield><subfield code="b">15</subfield><subfield code="c">06</subfield></datafield></record></collection>
|
| author |
Hajji, Mohamed |
| spellingShingle |
Hajji, Mohamed ddc 510 ssgn 17,1 misc AM-compact operator misc b-AM-compact operator misc LW-compact operator misc b-order bounded set misc L-weakly compact set misc Relatively compact set misc Order continuous norm misc Domination On b-AM-compact and AM-compact operators |
| authorStr |
Hajji, Mohamed |
| ppnlink_with_tag_str_mv |
@@773@@(DE-627)243279434 |
| format |
Article |
| dewey-ones |
510 - Mathematics |
| delete_txt_mv |
keep |
| author_role |
aut aut |
| collection |
OLC |
| remote_str |
false |
| illustrated |
Not Illustrated |
| issn |
1385-1292 |
| topic_title |
510 VZ 17,1 ssgn On b-AM-compact and AM-compact operators AM-compact operator b-AM-compact operator LW-compact operator b-order bounded set L-weakly compact set Relatively compact set Order continuous norm Domination |
| topic |
ddc 510 ssgn 17,1 misc AM-compact operator misc b-AM-compact operator misc LW-compact operator misc b-order bounded set misc L-weakly compact set misc Relatively compact set misc Order continuous norm misc Domination |
| topic_unstemmed |
ddc 510 ssgn 17,1 misc AM-compact operator misc b-AM-compact operator misc LW-compact operator misc b-order bounded set misc L-weakly compact set misc Relatively compact set misc Order continuous norm misc Domination |
| topic_browse |
ddc 510 ssgn 17,1 misc AM-compact operator misc b-AM-compact operator misc LW-compact operator misc b-order bounded set misc L-weakly compact set misc Relatively compact set misc Order continuous norm misc Domination |
| format_facet |
Aufsätze Gedruckte Aufsätze |
| format_main_str_mv |
Text Zeitschrift/Artikel |
| carriertype_str_mv |
nc |
| hierarchy_parent_title |
Positivity |
| hierarchy_parent_id |
243279434 |
| dewey-tens |
510 - Mathematics |
| hierarchy_top_title |
Positivity |
| isfreeaccess_txt |
false |
| familylinks_str_mv |
(DE-627)243279434 (DE-600)1426263-0 (DE-576)066430526 |
| title |
On b-AM-compact and AM-compact operators |
| ctrlnum |
(DE-627)OLC2078916862 (DE-He213)s11117-022-00922-0-p |
| title_full |
On b-AM-compact and AM-compact operators |
| author_sort |
Hajji, Mohamed |
| journal |
Positivity |
| journalStr |
Positivity |
| lang_code |
eng |
| isOA_bool |
false |
| dewey-hundreds |
500 - Science |
| recordtype |
marc |
| publishDateSort |
2022 |
| contenttype_str_mv |
txt |
| author_browse |
Hajji, Mohamed Mahfoudhi, Mounir |
| container_volume |
26 |
| class |
510 VZ 17,1 ssgn |
| format_se |
Aufsätze |
| author-letter |
Hajji, Mohamed |
| doi_str_mv |
10.1007/s11117-022-00922-0 |
| normlink |
(ORCID)0000-0002-8406-6618 |
| normlink_prefix_str_mv |
(orcid)0000-0002-8406-6618 |
| dewey-full |
510 |
| title_sort |
on b-am-compact and am-compact operators |
| title_auth |
On b-AM-compact and AM-compact operators |
| abstract |
Abstract Recently B. Aqzzouz and J H’Michane introduced the class of b-AM-compact operators and studied some of its properties. In this paper, we give some new characterizations of this class of operators. In this regard, it will be focused on the duality property of b-AM-compact operators. Also, we introduce a ‘new’ notion of set in normed Riesz space called $$\Vert $$.$$\Vert -$$b-order bounded set and we prove that any bounded operator T from a normed Riesz space E into a Banach space X such that T carries each $$\Vert $$.$$\Vert -$$b-order bounded set of E into a relatively compact set of X extends to b-AM-compact operator from $$\hat{E}$$ (where $$\hat{E}$$ is the completion of E) into X. Finally, we close this paper by new results concerning the domination problem by AM-compact operators. © The Author(s), under exclusive licence to Springer Nature Switzerland AG 2022 |
| abstractGer |
Abstract Recently B. Aqzzouz and J H’Michane introduced the class of b-AM-compact operators and studied some of its properties. In this paper, we give some new characterizations of this class of operators. In this regard, it will be focused on the duality property of b-AM-compact operators. Also, we introduce a ‘new’ notion of set in normed Riesz space called $$\Vert $$.$$\Vert -$$b-order bounded set and we prove that any bounded operator T from a normed Riesz space E into a Banach space X such that T carries each $$\Vert $$.$$\Vert -$$b-order bounded set of E into a relatively compact set of X extends to b-AM-compact operator from $$\hat{E}$$ (where $$\hat{E}$$ is the completion of E) into X. Finally, we close this paper by new results concerning the domination problem by AM-compact operators. © The Author(s), under exclusive licence to Springer Nature Switzerland AG 2022 |
| abstract_unstemmed |
Abstract Recently B. Aqzzouz and J H’Michane introduced the class of b-AM-compact operators and studied some of its properties. In this paper, we give some new characterizations of this class of operators. In this regard, it will be focused on the duality property of b-AM-compact operators. Also, we introduce a ‘new’ notion of set in normed Riesz space called $$\Vert $$.$$\Vert -$$b-order bounded set and we prove that any bounded operator T from a normed Riesz space E into a Banach space X such that T carries each $$\Vert $$.$$\Vert -$$b-order bounded set of E into a relatively compact set of X extends to b-AM-compact operator from $$\hat{E}$$ (where $$\hat{E}$$ is the completion of E) into X. Finally, we close this paper by new results concerning the domination problem by AM-compact operators. © The Author(s), under exclusive licence to Springer Nature Switzerland AG 2022 |
| collection_details |
GBV_USEFLAG_A SYSFLAG_A GBV_OLC SSG-OLC-MAT SSG-OPC-MAT GBV_ILN_2088 |
| container_issue |
3 |
| title_short |
On b-AM-compact and AM-compact operators |
| url |
https://doi.org/10.1007/s11117-022-00922-0 |
| remote_bool |
false |
| author2 |
Mahfoudhi, Mounir |
| author2Str |
Mahfoudhi, Mounir |
| ppnlink |
243279434 |
| mediatype_str_mv |
n |
| isOA_txt |
false |
| hochschulschrift_bool |
false |
| doi_str |
10.1007/s11117-022-00922-0 |
| up_date |
2024-07-03T22:43:26.572Z |
| _version_ |
1803599590535987200 |
| fullrecord_marcxml |
<?xml version="1.0" encoding="UTF-8"?><collection xmlns="http://www.loc.gov/MARC21/slim"><record><leader>01000caa a22002652 4500</leader><controlfield tag="001">OLC2078916862</controlfield><controlfield tag="003">DE-627</controlfield><controlfield tag="005">20230506034220.0</controlfield><controlfield tag="007">tu</controlfield><controlfield tag="008">221220s2022 xx ||||| 00| ||eng c</controlfield><datafield tag="024" ind1="7" ind2=" "><subfield code="a">10.1007/s11117-022-00922-0</subfield><subfield code="2">doi</subfield></datafield><datafield tag="035" ind1=" " ind2=" "><subfield code="a">(DE-627)OLC2078916862</subfield></datafield><datafield tag="035" ind1=" " ind2=" "><subfield code="a">(DE-He213)s11117-022-00922-0-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">Hajji, Mohamed</subfield><subfield code="e">verfasserin</subfield><subfield code="4">aut</subfield></datafield><datafield tag="245" ind1="1" ind2="0"><subfield code="a">On b-AM-compact and AM-compact operators</subfield></datafield><datafield tag="264" ind1=" " ind2="1"><subfield code="c">2022</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 2022</subfield></datafield><datafield tag="520" ind1=" " ind2=" "><subfield code="a">Abstract Recently B. Aqzzouz and J H’Michane introduced the class of b-AM-compact operators and studied some of its properties. In this paper, we give some new characterizations of this class of operators. In this regard, it will be focused on the duality property of b-AM-compact operators. Also, we introduce a ‘new’ notion of set in normed Riesz space called $$\Vert $$.$$\Vert -$$b-order bounded set and we prove that any bounded operator T from a normed Riesz space E into a Banach space X such that T carries each $$\Vert $$.$$\Vert -$$b-order bounded set of E into a relatively compact set of X extends to b-AM-compact operator from $$\hat{E}$$ (where $$\hat{E}$$ is the completion of E) into X. Finally, we close this paper by new results concerning the domination problem by AM-compact operators.</subfield></datafield><datafield tag="650" ind1=" " ind2="4"><subfield code="a">AM-compact operator</subfield></datafield><datafield tag="650" ind1=" " ind2="4"><subfield code="a">b-AM-compact operator</subfield></datafield><datafield tag="650" ind1=" " ind2="4"><subfield code="a">LW-compact operator</subfield></datafield><datafield tag="650" ind1=" " ind2="4"><subfield code="a">b-order bounded set</subfield></datafield><datafield tag="650" ind1=" " ind2="4"><subfield code="a">L-weakly compact set</subfield></datafield><datafield tag="650" ind1=" " ind2="4"><subfield code="a">Relatively compact set</subfield></datafield><datafield tag="650" ind1=" " ind2="4"><subfield code="a">Order continuous norm</subfield></datafield><datafield tag="650" ind1=" " ind2="4"><subfield code="a">Domination</subfield></datafield><datafield tag="700" ind1="1" ind2=" "><subfield code="a">Mahfoudhi, Mounir</subfield><subfield code="0">(orcid)0000-0002-8406-6618</subfield><subfield code="4">aut</subfield></datafield><datafield tag="773" ind1="0" ind2="8"><subfield code="i">Enthalten in</subfield><subfield code="t">Positivity</subfield><subfield code="d">Springer International Publishing, 1997</subfield><subfield code="g">26(2022), 3 vom: 15. Juni</subfield><subfield code="w">(DE-627)243279434</subfield><subfield code="w">(DE-600)1426263-0</subfield><subfield code="w">(DE-576)066430526</subfield><subfield code="x">1385-1292</subfield><subfield code="7">nnns</subfield></datafield><datafield tag="773" ind1="1" ind2="8"><subfield code="g">volume:26</subfield><subfield code="g">year:2022</subfield><subfield code="g">number:3</subfield><subfield code="g">day:15</subfield><subfield code="g">month:06</subfield></datafield><datafield tag="856" ind1="4" ind2="1"><subfield code="u">https://doi.org/10.1007/s11117-022-00922-0</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="912" ind1=" " ind2=" "><subfield code="a">GBV_ILN_2088</subfield></datafield><datafield tag="951" ind1=" " ind2=" "><subfield code="a">AR</subfield></datafield><datafield tag="952" ind1=" " ind2=" "><subfield code="d">26</subfield><subfield code="j">2022</subfield><subfield code="e">3</subfield><subfield code="b">15</subfield><subfield code="c">06</subfield></datafield></record></collection>
|
| score |
7.3988647 |