High Order Singular Rank One Perturbations of a Positive Operator
Abstract. In this paper self-adjoint realizations in Hilbert and Pontryagin spaces of the formal expression $$L_{\alpha} = L + \alpha\langle \cdot , \varphi \rangle \varphi$$ are discussed and compared. Here L is a positive self-adjoint operator in a Hilbert space $${\mathcal{H}}$$ with inner produc...
Ausführliche Beschreibung
Autor*in: |
Dijksma, A. [verfasserIn] |
---|
Format: |
Artikel |
---|---|
Sprache: |
Englisch |
Erschienen: |
2005 |
---|
Anmerkung: |
© Birkhäuser Verlag, Basel 2005 |
---|
Übergeordnetes Werk: |
Enthalten in: Integral equations and operator theory - Birkhäuser-Verlag, 1978, 53(2005), 2 vom: 30. Aug., Seite 209-245 |
---|---|
Übergeordnetes Werk: |
volume:53 ; year:2005 ; number:2 ; day:30 ; month:08 ; pages:209-245 |
Links: |
---|
DOI / URN: |
10.1007/s00020-005-1357-5 |
---|
Katalog-ID: |
OLC2069392872 |
---|
LEADER | 01000caa a22002652 4500 | ||
---|---|---|---|
001 | OLC2069392872 | ||
003 | DE-627 | ||
005 | 20230323110620.0 | ||
007 | tu | ||
008 | 200819s2005 xx ||||| 00| ||eng c | ||
024 | 7 | |a 10.1007/s00020-005-1357-5 |2 doi | |
035 | |a (DE-627)OLC2069392872 | ||
035 | |a (DE-He213)s00020-005-1357-5-p | ||
040 | |a DE-627 |b ger |c DE-627 |e rakwb | ||
041 | |a eng | ||
082 | 0 | 4 | |a 510 |a 004 |q VZ |
084 | |a 17,1 |2 ssgn | ||
100 | 1 | |a Dijksma, A. |e verfasserin |4 aut | |
245 | 1 | 0 | |a High Order Singular Rank One Perturbations of a Positive Operator |
264 | 1 | |c 2005 | |
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 © Birkhäuser Verlag, Basel 2005 | ||
520 | |a Abstract. In this paper self-adjoint realizations in Hilbert and Pontryagin spaces of the formal expression $$L_{\alpha} = L + \alpha\langle \cdot , \varphi \rangle \varphi$$ are discussed and compared. Here L is a positive self-adjoint operator in a Hilbert space $${\mathcal{H}}$$ with inner product 〈·,·〉, α is a real parameter, and φ in the rank one perturbation is a singular element belonging to $$\mathcal{H}_{{ - n}} \backslash \mathcal{H}_{{ - n + 1}}$$ with n ≥ 3, where $${\left\{ {\mathcal{H}_{s} } \right\}}^{\infty }_{{s = - \infty }} $$ is the scale of Hilbert spaces associated with L in $${\mathcal{H}}.$$ | ||
700 | 1 | |a Kurasov, P. |4 aut | |
700 | 1 | |a Shondin, Yu. |4 aut | |
773 | 0 | 8 | |i Enthalten in |t Integral equations and operator theory |d Birkhäuser-Verlag, 1978 |g 53(2005), 2 vom: 30. Aug., Seite 209-245 |w (DE-627)129859184 |w (DE-600)282475-9 |w (DE-576)015166651 |x 0378-620X |7 nnns |
773 | 1 | 8 | |g volume:53 |g year:2005 |g number:2 |g day:30 |g month:08 |g pages:209-245 |
856 | 4 | 1 | |u https://doi.org/10.1007/s00020-005-1357-5 |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 | ||
912 | |a GBV_ILN_11 | ||
912 | |a GBV_ILN_21 | ||
912 | |a GBV_ILN_24 | ||
912 | |a GBV_ILN_30 | ||
912 | |a GBV_ILN_40 | ||
912 | |a GBV_ILN_70 | ||
912 | |a GBV_ILN_267 | ||
912 | |a GBV_ILN_2002 | ||
912 | |a GBV_ILN_2010 | ||
912 | |a GBV_ILN_2015 | ||
912 | |a GBV_ILN_2018 | ||
912 | |a GBV_ILN_2020 | ||
912 | |a GBV_ILN_2021 | ||
912 | |a GBV_ILN_2030 | ||
912 | |a GBV_ILN_2088 | ||
912 | |a GBV_ILN_2409 | ||
912 | |a GBV_ILN_4036 | ||
912 | |a GBV_ILN_4116 | ||
912 | |a GBV_ILN_4266 | ||
912 | |a GBV_ILN_4277 | ||
912 | |a GBV_ILN_4305 | ||
912 | |a GBV_ILN_4307 | ||
912 | |a GBV_ILN_4318 | ||
912 | |a GBV_ILN_4325 | ||
951 | |a AR | ||
952 | |d 53 |j 2005 |e 2 |b 30 |c 08 |h 209-245 |
author_variant |
a d ad p k pk y s ys |
---|---|
matchkey_str |
article:0378620X:2005----::ihresnuarnoeetrainoao |
hierarchy_sort_str |
2005 |
publishDate |
2005 |
allfields |
10.1007/s00020-005-1357-5 doi (DE-627)OLC2069392872 (DE-He213)s00020-005-1357-5-p DE-627 ger DE-627 rakwb eng 510 004 VZ 17,1 ssgn Dijksma, A. verfasserin aut High Order Singular Rank One Perturbations of a Positive Operator 2005 Text txt rdacontent ohne Hilfsmittel zu benutzen n rdamedia Band nc rdacarrier © Birkhäuser Verlag, Basel 2005 Abstract. In this paper self-adjoint realizations in Hilbert and Pontryagin spaces of the formal expression $$L_{\alpha} = L + \alpha\langle \cdot , \varphi \rangle \varphi$$ are discussed and compared. Here L is a positive self-adjoint operator in a Hilbert space $${\mathcal{H}}$$ with inner product 〈·,·〉, α is a real parameter, and φ in the rank one perturbation is a singular element belonging to $$\mathcal{H}_{{ - n}} \backslash \mathcal{H}_{{ - n + 1}}$$ with n ≥ 3, where $${\left\{ {\mathcal{H}_{s} } \right\}}^{\infty }_{{s = - \infty }} $$ is the scale of Hilbert spaces associated with L in $${\mathcal{H}}.$$ Kurasov, P. aut Shondin, Yu. aut Enthalten in Integral equations and operator theory Birkhäuser-Verlag, 1978 53(2005), 2 vom: 30. Aug., Seite 209-245 (DE-627)129859184 (DE-600)282475-9 (DE-576)015166651 0378-620X nnns volume:53 year:2005 number:2 day:30 month:08 pages:209-245 https://doi.org/10.1007/s00020-005-1357-5 lizenzpflichtig Volltext GBV_USEFLAG_A SYSFLAG_A GBV_OLC SSG-OLC-MAT SSG-OPC-MAT GBV_ILN_11 GBV_ILN_21 GBV_ILN_24 GBV_ILN_30 GBV_ILN_40 GBV_ILN_70 GBV_ILN_267 GBV_ILN_2002 GBV_ILN_2010 GBV_ILN_2015 GBV_ILN_2018 GBV_ILN_2020 GBV_ILN_2021 GBV_ILN_2030 GBV_ILN_2088 GBV_ILN_2409 GBV_ILN_4036 GBV_ILN_4116 GBV_ILN_4266 GBV_ILN_4277 GBV_ILN_4305 GBV_ILN_4307 GBV_ILN_4318 GBV_ILN_4325 AR 53 2005 2 30 08 209-245 |
spelling |
10.1007/s00020-005-1357-5 doi (DE-627)OLC2069392872 (DE-He213)s00020-005-1357-5-p DE-627 ger DE-627 rakwb eng 510 004 VZ 17,1 ssgn Dijksma, A. verfasserin aut High Order Singular Rank One Perturbations of a Positive Operator 2005 Text txt rdacontent ohne Hilfsmittel zu benutzen n rdamedia Band nc rdacarrier © Birkhäuser Verlag, Basel 2005 Abstract. In this paper self-adjoint realizations in Hilbert and Pontryagin spaces of the formal expression $$L_{\alpha} = L + \alpha\langle \cdot , \varphi \rangle \varphi$$ are discussed and compared. Here L is a positive self-adjoint operator in a Hilbert space $${\mathcal{H}}$$ with inner product 〈·,·〉, α is a real parameter, and φ in the rank one perturbation is a singular element belonging to $$\mathcal{H}_{{ - n}} \backslash \mathcal{H}_{{ - n + 1}}$$ with n ≥ 3, where $${\left\{ {\mathcal{H}_{s} } \right\}}^{\infty }_{{s = - \infty }} $$ is the scale of Hilbert spaces associated with L in $${\mathcal{H}}.$$ Kurasov, P. aut Shondin, Yu. aut Enthalten in Integral equations and operator theory Birkhäuser-Verlag, 1978 53(2005), 2 vom: 30. Aug., Seite 209-245 (DE-627)129859184 (DE-600)282475-9 (DE-576)015166651 0378-620X nnns volume:53 year:2005 number:2 day:30 month:08 pages:209-245 https://doi.org/10.1007/s00020-005-1357-5 lizenzpflichtig Volltext GBV_USEFLAG_A SYSFLAG_A GBV_OLC SSG-OLC-MAT SSG-OPC-MAT GBV_ILN_11 GBV_ILN_21 GBV_ILN_24 GBV_ILN_30 GBV_ILN_40 GBV_ILN_70 GBV_ILN_267 GBV_ILN_2002 GBV_ILN_2010 GBV_ILN_2015 GBV_ILN_2018 GBV_ILN_2020 GBV_ILN_2021 GBV_ILN_2030 GBV_ILN_2088 GBV_ILN_2409 GBV_ILN_4036 GBV_ILN_4116 GBV_ILN_4266 GBV_ILN_4277 GBV_ILN_4305 GBV_ILN_4307 GBV_ILN_4318 GBV_ILN_4325 AR 53 2005 2 30 08 209-245 |
allfields_unstemmed |
10.1007/s00020-005-1357-5 doi (DE-627)OLC2069392872 (DE-He213)s00020-005-1357-5-p DE-627 ger DE-627 rakwb eng 510 004 VZ 17,1 ssgn Dijksma, A. verfasserin aut High Order Singular Rank One Perturbations of a Positive Operator 2005 Text txt rdacontent ohne Hilfsmittel zu benutzen n rdamedia Band nc rdacarrier © Birkhäuser Verlag, Basel 2005 Abstract. In this paper self-adjoint realizations in Hilbert and Pontryagin spaces of the formal expression $$L_{\alpha} = L + \alpha\langle \cdot , \varphi \rangle \varphi$$ are discussed and compared. Here L is a positive self-adjoint operator in a Hilbert space $${\mathcal{H}}$$ with inner product 〈·,·〉, α is a real parameter, and φ in the rank one perturbation is a singular element belonging to $$\mathcal{H}_{{ - n}} \backslash \mathcal{H}_{{ - n + 1}}$$ with n ≥ 3, where $${\left\{ {\mathcal{H}_{s} } \right\}}^{\infty }_{{s = - \infty }} $$ is the scale of Hilbert spaces associated with L in $${\mathcal{H}}.$$ Kurasov, P. aut Shondin, Yu. aut Enthalten in Integral equations and operator theory Birkhäuser-Verlag, 1978 53(2005), 2 vom: 30. Aug., Seite 209-245 (DE-627)129859184 (DE-600)282475-9 (DE-576)015166651 0378-620X nnns volume:53 year:2005 number:2 day:30 month:08 pages:209-245 https://doi.org/10.1007/s00020-005-1357-5 lizenzpflichtig Volltext GBV_USEFLAG_A SYSFLAG_A GBV_OLC SSG-OLC-MAT SSG-OPC-MAT GBV_ILN_11 GBV_ILN_21 GBV_ILN_24 GBV_ILN_30 GBV_ILN_40 GBV_ILN_70 GBV_ILN_267 GBV_ILN_2002 GBV_ILN_2010 GBV_ILN_2015 GBV_ILN_2018 GBV_ILN_2020 GBV_ILN_2021 GBV_ILN_2030 GBV_ILN_2088 GBV_ILN_2409 GBV_ILN_4036 GBV_ILN_4116 GBV_ILN_4266 GBV_ILN_4277 GBV_ILN_4305 GBV_ILN_4307 GBV_ILN_4318 GBV_ILN_4325 AR 53 2005 2 30 08 209-245 |
allfieldsGer |
10.1007/s00020-005-1357-5 doi (DE-627)OLC2069392872 (DE-He213)s00020-005-1357-5-p DE-627 ger DE-627 rakwb eng 510 004 VZ 17,1 ssgn Dijksma, A. verfasserin aut High Order Singular Rank One Perturbations of a Positive Operator 2005 Text txt rdacontent ohne Hilfsmittel zu benutzen n rdamedia Band nc rdacarrier © Birkhäuser Verlag, Basel 2005 Abstract. In this paper self-adjoint realizations in Hilbert and Pontryagin spaces of the formal expression $$L_{\alpha} = L + \alpha\langle \cdot , \varphi \rangle \varphi$$ are discussed and compared. Here L is a positive self-adjoint operator in a Hilbert space $${\mathcal{H}}$$ with inner product 〈·,·〉, α is a real parameter, and φ in the rank one perturbation is a singular element belonging to $$\mathcal{H}_{{ - n}} \backslash \mathcal{H}_{{ - n + 1}}$$ with n ≥ 3, where $${\left\{ {\mathcal{H}_{s} } \right\}}^{\infty }_{{s = - \infty }} $$ is the scale of Hilbert spaces associated with L in $${\mathcal{H}}.$$ Kurasov, P. aut Shondin, Yu. aut Enthalten in Integral equations and operator theory Birkhäuser-Verlag, 1978 53(2005), 2 vom: 30. Aug., Seite 209-245 (DE-627)129859184 (DE-600)282475-9 (DE-576)015166651 0378-620X nnns volume:53 year:2005 number:2 day:30 month:08 pages:209-245 https://doi.org/10.1007/s00020-005-1357-5 lizenzpflichtig Volltext GBV_USEFLAG_A SYSFLAG_A GBV_OLC SSG-OLC-MAT SSG-OPC-MAT GBV_ILN_11 GBV_ILN_21 GBV_ILN_24 GBV_ILN_30 GBV_ILN_40 GBV_ILN_70 GBV_ILN_267 GBV_ILN_2002 GBV_ILN_2010 GBV_ILN_2015 GBV_ILN_2018 GBV_ILN_2020 GBV_ILN_2021 GBV_ILN_2030 GBV_ILN_2088 GBV_ILN_2409 GBV_ILN_4036 GBV_ILN_4116 GBV_ILN_4266 GBV_ILN_4277 GBV_ILN_4305 GBV_ILN_4307 GBV_ILN_4318 GBV_ILN_4325 AR 53 2005 2 30 08 209-245 |
allfieldsSound |
10.1007/s00020-005-1357-5 doi (DE-627)OLC2069392872 (DE-He213)s00020-005-1357-5-p DE-627 ger DE-627 rakwb eng 510 004 VZ 17,1 ssgn Dijksma, A. verfasserin aut High Order Singular Rank One Perturbations of a Positive Operator 2005 Text txt rdacontent ohne Hilfsmittel zu benutzen n rdamedia Band nc rdacarrier © Birkhäuser Verlag, Basel 2005 Abstract. In this paper self-adjoint realizations in Hilbert and Pontryagin spaces of the formal expression $$L_{\alpha} = L + \alpha\langle \cdot , \varphi \rangle \varphi$$ are discussed and compared. Here L is a positive self-adjoint operator in a Hilbert space $${\mathcal{H}}$$ with inner product 〈·,·〉, α is a real parameter, and φ in the rank one perturbation is a singular element belonging to $$\mathcal{H}_{{ - n}} \backslash \mathcal{H}_{{ - n + 1}}$$ with n ≥ 3, where $${\left\{ {\mathcal{H}_{s} } \right\}}^{\infty }_{{s = - \infty }} $$ is the scale of Hilbert spaces associated with L in $${\mathcal{H}}.$$ Kurasov, P. aut Shondin, Yu. aut Enthalten in Integral equations and operator theory Birkhäuser-Verlag, 1978 53(2005), 2 vom: 30. Aug., Seite 209-245 (DE-627)129859184 (DE-600)282475-9 (DE-576)015166651 0378-620X nnns volume:53 year:2005 number:2 day:30 month:08 pages:209-245 https://doi.org/10.1007/s00020-005-1357-5 lizenzpflichtig Volltext GBV_USEFLAG_A SYSFLAG_A GBV_OLC SSG-OLC-MAT SSG-OPC-MAT GBV_ILN_11 GBV_ILN_21 GBV_ILN_24 GBV_ILN_30 GBV_ILN_40 GBV_ILN_70 GBV_ILN_267 GBV_ILN_2002 GBV_ILN_2010 GBV_ILN_2015 GBV_ILN_2018 GBV_ILN_2020 GBV_ILN_2021 GBV_ILN_2030 GBV_ILN_2088 GBV_ILN_2409 GBV_ILN_4036 GBV_ILN_4116 GBV_ILN_4266 GBV_ILN_4277 GBV_ILN_4305 GBV_ILN_4307 GBV_ILN_4318 GBV_ILN_4325 AR 53 2005 2 30 08 209-245 |
language |
English |
source |
Enthalten in Integral equations and operator theory 53(2005), 2 vom: 30. Aug., Seite 209-245 volume:53 year:2005 number:2 day:30 month:08 pages:209-245 |
sourceStr |
Enthalten in Integral equations and operator theory 53(2005), 2 vom: 30. Aug., Seite 209-245 volume:53 year:2005 number:2 day:30 month:08 pages:209-245 |
format_phy_str_mv |
Article |
institution |
findex.gbv.de |
dewey-raw |
510 |
isfreeaccess_bool |
false |
container_title |
Integral equations and operator theory |
authorswithroles_txt_mv |
Dijksma, A. @@aut@@ Kurasov, P. @@aut@@ Shondin, Yu. @@aut@@ |
publishDateDaySort_date |
2005-08-30T00:00:00Z |
hierarchy_top_id |
129859184 |
dewey-sort |
3510 |
id |
OLC2069392872 |
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">OLC2069392872</controlfield><controlfield tag="003">DE-627</controlfield><controlfield tag="005">20230323110620.0</controlfield><controlfield tag="007">tu</controlfield><controlfield tag="008">200819s2005 xx ||||| 00| ||eng c</controlfield><datafield tag="024" ind1="7" ind2=" "><subfield code="a">10.1007/s00020-005-1357-5</subfield><subfield code="2">doi</subfield></datafield><datafield tag="035" ind1=" " ind2=" "><subfield code="a">(DE-627)OLC2069392872</subfield></datafield><datafield tag="035" ind1=" " ind2=" "><subfield code="a">(DE-He213)s00020-005-1357-5-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="a">004</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">Dijksma, A.</subfield><subfield code="e">verfasserin</subfield><subfield code="4">aut</subfield></datafield><datafield tag="245" ind1="1" ind2="0"><subfield code="a">High Order Singular Rank One Perturbations of a Positive Operator</subfield></datafield><datafield tag="264" ind1=" " ind2="1"><subfield code="c">2005</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">© Birkhäuser Verlag, Basel 2005</subfield></datafield><datafield tag="520" ind1=" " ind2=" "><subfield code="a">Abstract. In this paper self-adjoint realizations in Hilbert and Pontryagin spaces of the formal expression $$L_{\alpha} = L + \alpha\langle \cdot , \varphi \rangle \varphi$$ are discussed and compared. Here L is a positive self-adjoint operator in a Hilbert space $${\mathcal{H}}$$ with inner product 〈·,·〉, α is a real parameter, and φ in the rank one perturbation is a singular element belonging to $$\mathcal{H}_{{ - n}} \backslash \mathcal{H}_{{ - n + 1}}$$ with n ≥ 3, where $${\left\{ {\mathcal{H}_{s} } \right\}}^{\infty }_{{s = - \infty }} $$ is the scale of Hilbert spaces associated with L in $${\mathcal{H}}.$$</subfield></datafield><datafield tag="700" ind1="1" ind2=" "><subfield code="a">Kurasov, P.</subfield><subfield code="4">aut</subfield></datafield><datafield tag="700" ind1="1" ind2=" "><subfield code="a">Shondin, Yu.</subfield><subfield code="4">aut</subfield></datafield><datafield tag="773" ind1="0" ind2="8"><subfield code="i">Enthalten in</subfield><subfield code="t">Integral equations and operator theory</subfield><subfield code="d">Birkhäuser-Verlag, 1978</subfield><subfield code="g">53(2005), 2 vom: 30. Aug., Seite 209-245</subfield><subfield code="w">(DE-627)129859184</subfield><subfield code="w">(DE-600)282475-9</subfield><subfield code="w">(DE-576)015166651</subfield><subfield code="x">0378-620X</subfield><subfield code="7">nnns</subfield></datafield><datafield tag="773" ind1="1" ind2="8"><subfield code="g">volume:53</subfield><subfield code="g">year:2005</subfield><subfield code="g">number:2</subfield><subfield code="g">day:30</subfield><subfield code="g">month:08</subfield><subfield code="g">pages:209-245</subfield></datafield><datafield tag="856" ind1="4" ind2="1"><subfield code="u">https://doi.org/10.1007/s00020-005-1357-5</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="912" ind1=" " ind2=" "><subfield code="a">GBV_ILN_11</subfield></datafield><datafield tag="912" ind1=" " ind2=" "><subfield code="a">GBV_ILN_21</subfield></datafield><datafield tag="912" ind1=" " ind2=" "><subfield code="a">GBV_ILN_24</subfield></datafield><datafield tag="912" ind1=" " ind2=" "><subfield code="a">GBV_ILN_30</subfield></datafield><datafield tag="912" ind1=" " ind2=" "><subfield code="a">GBV_ILN_40</subfield></datafield><datafield tag="912" ind1=" " ind2=" "><subfield code="a">GBV_ILN_70</subfield></datafield><datafield tag="912" ind1=" " ind2=" "><subfield code="a">GBV_ILN_267</subfield></datafield><datafield tag="912" ind1=" " ind2=" "><subfield code="a">GBV_ILN_2002</subfield></datafield><datafield tag="912" ind1=" " ind2=" "><subfield code="a">GBV_ILN_2010</subfield></datafield><datafield tag="912" ind1=" " ind2=" "><subfield code="a">GBV_ILN_2015</subfield></datafield><datafield tag="912" ind1=" " ind2=" "><subfield code="a">GBV_ILN_2018</subfield></datafield><datafield tag="912" ind1=" " ind2=" "><subfield code="a">GBV_ILN_2020</subfield></datafield><datafield tag="912" ind1=" " ind2=" "><subfield code="a">GBV_ILN_2021</subfield></datafield><datafield tag="912" ind1=" " ind2=" "><subfield code="a">GBV_ILN_2030</subfield></datafield><datafield tag="912" ind1=" " ind2=" "><subfield code="a">GBV_ILN_2088</subfield></datafield><datafield tag="912" ind1=" " ind2=" "><subfield code="a">GBV_ILN_2409</subfield></datafield><datafield tag="912" ind1=" " ind2=" "><subfield code="a">GBV_ILN_4036</subfield></datafield><datafield tag="912" ind1=" " ind2=" "><subfield code="a">GBV_ILN_4116</subfield></datafield><datafield tag="912" ind1=" " ind2=" "><subfield code="a">GBV_ILN_4266</subfield></datafield><datafield tag="912" ind1=" " ind2=" "><subfield code="a">GBV_ILN_4277</subfield></datafield><datafield tag="912" ind1=" " ind2=" "><subfield code="a">GBV_ILN_4305</subfield></datafield><datafield tag="912" ind1=" " ind2=" "><subfield code="a">GBV_ILN_4307</subfield></datafield><datafield tag="912" ind1=" " ind2=" "><subfield code="a">GBV_ILN_4318</subfield></datafield><datafield tag="912" ind1=" " ind2=" "><subfield code="a">GBV_ILN_4325</subfield></datafield><datafield tag="951" ind1=" " ind2=" "><subfield code="a">AR</subfield></datafield><datafield tag="952" ind1=" " ind2=" "><subfield code="d">53</subfield><subfield code="j">2005</subfield><subfield code="e">2</subfield><subfield code="b">30</subfield><subfield code="c">08</subfield><subfield code="h">209-245</subfield></datafield></record></collection>
|
author |
Dijksma, A. |
spellingShingle |
Dijksma, A. ddc 510 ssgn 17,1 High Order Singular Rank One Perturbations of a Positive Operator |
authorStr |
Dijksma, A. |
ppnlink_with_tag_str_mv |
@@773@@(DE-627)129859184 |
format |
Article |
dewey-ones |
510 - Mathematics 004 - Data processing & computer science |
delete_txt_mv |
keep |
author_role |
aut aut aut |
collection |
OLC |
remote_str |
false |
illustrated |
Not Illustrated |
issn |
0378-620X |
topic_title |
510 004 VZ 17,1 ssgn High Order Singular Rank One Perturbations of a Positive Operator |
topic |
ddc 510 ssgn 17,1 |
topic_unstemmed |
ddc 510 ssgn 17,1 |
topic_browse |
ddc 510 ssgn 17,1 |
format_facet |
Aufsätze Gedruckte Aufsätze |
format_main_str_mv |
Text Zeitschrift/Artikel |
carriertype_str_mv |
nc |
hierarchy_parent_title |
Integral equations and operator theory |
hierarchy_parent_id |
129859184 |
dewey-tens |
510 - Mathematics 000 - Computer science, knowledge & systems |
hierarchy_top_title |
Integral equations and operator theory |
isfreeaccess_txt |
false |
familylinks_str_mv |
(DE-627)129859184 (DE-600)282475-9 (DE-576)015166651 |
title |
High Order Singular Rank One Perturbations of a Positive Operator |
ctrlnum |
(DE-627)OLC2069392872 (DE-He213)s00020-005-1357-5-p |
title_full |
High Order Singular Rank One Perturbations of a Positive Operator |
author_sort |
Dijksma, A. |
journal |
Integral equations and operator theory |
journalStr |
Integral equations and operator theory |
lang_code |
eng |
isOA_bool |
false |
dewey-hundreds |
500 - Science 000 - Computer science, information & general works |
recordtype |
marc |
publishDateSort |
2005 |
contenttype_str_mv |
txt |
container_start_page |
209 |
author_browse |
Dijksma, A. Kurasov, P. Shondin, Yu. |
container_volume |
53 |
class |
510 004 VZ 17,1 ssgn |
format_se |
Aufsätze |
author-letter |
Dijksma, A. |
doi_str_mv |
10.1007/s00020-005-1357-5 |
dewey-full |
510 004 |
title_sort |
high order singular rank one perturbations of a positive operator |
title_auth |
High Order Singular Rank One Perturbations of a Positive Operator |
abstract |
Abstract. In this paper self-adjoint realizations in Hilbert and Pontryagin spaces of the formal expression $$L_{\alpha} = L + \alpha\langle \cdot , \varphi \rangle \varphi$$ are discussed and compared. Here L is a positive self-adjoint operator in a Hilbert space $${\mathcal{H}}$$ with inner product 〈·,·〉, α is a real parameter, and φ in the rank one perturbation is a singular element belonging to $$\mathcal{H}_{{ - n}} \backslash \mathcal{H}_{{ - n + 1}}$$ with n ≥ 3, where $${\left\{ {\mathcal{H}_{s} } \right\}}^{\infty }_{{s = - \infty }} $$ is the scale of Hilbert spaces associated with L in $${\mathcal{H}}.$$ © Birkhäuser Verlag, Basel 2005 |
abstractGer |
Abstract. In this paper self-adjoint realizations in Hilbert and Pontryagin spaces of the formal expression $$L_{\alpha} = L + \alpha\langle \cdot , \varphi \rangle \varphi$$ are discussed and compared. Here L is a positive self-adjoint operator in a Hilbert space $${\mathcal{H}}$$ with inner product 〈·,·〉, α is a real parameter, and φ in the rank one perturbation is a singular element belonging to $$\mathcal{H}_{{ - n}} \backslash \mathcal{H}_{{ - n + 1}}$$ with n ≥ 3, where $${\left\{ {\mathcal{H}_{s} } \right\}}^{\infty }_{{s = - \infty }} $$ is the scale of Hilbert spaces associated with L in $${\mathcal{H}}.$$ © Birkhäuser Verlag, Basel 2005 |
abstract_unstemmed |
Abstract. In this paper self-adjoint realizations in Hilbert and Pontryagin spaces of the formal expression $$L_{\alpha} = L + \alpha\langle \cdot , \varphi \rangle \varphi$$ are discussed and compared. Here L is a positive self-adjoint operator in a Hilbert space $${\mathcal{H}}$$ with inner product 〈·,·〉, α is a real parameter, and φ in the rank one perturbation is a singular element belonging to $$\mathcal{H}_{{ - n}} \backslash \mathcal{H}_{{ - n + 1}}$$ with n ≥ 3, where $${\left\{ {\mathcal{H}_{s} } \right\}}^{\infty }_{{s = - \infty }} $$ is the scale of Hilbert spaces associated with L in $${\mathcal{H}}.$$ © Birkhäuser Verlag, Basel 2005 |
collection_details |
GBV_USEFLAG_A SYSFLAG_A GBV_OLC SSG-OLC-MAT SSG-OPC-MAT GBV_ILN_11 GBV_ILN_21 GBV_ILN_24 GBV_ILN_30 GBV_ILN_40 GBV_ILN_70 GBV_ILN_267 GBV_ILN_2002 GBV_ILN_2010 GBV_ILN_2015 GBV_ILN_2018 GBV_ILN_2020 GBV_ILN_2021 GBV_ILN_2030 GBV_ILN_2088 GBV_ILN_2409 GBV_ILN_4036 GBV_ILN_4116 GBV_ILN_4266 GBV_ILN_4277 GBV_ILN_4305 GBV_ILN_4307 GBV_ILN_4318 GBV_ILN_4325 |
container_issue |
2 |
title_short |
High Order Singular Rank One Perturbations of a Positive Operator |
url |
https://doi.org/10.1007/s00020-005-1357-5 |
remote_bool |
false |
author2 |
Kurasov, P. Shondin, Yu |
author2Str |
Kurasov, P. Shondin, Yu |
ppnlink |
129859184 |
mediatype_str_mv |
n |
isOA_txt |
false |
hochschulschrift_bool |
false |
doi_str |
10.1007/s00020-005-1357-5 |
up_date |
2024-07-03T22:02:29.233Z |
_version_ |
1803597013827190784 |
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">OLC2069392872</controlfield><controlfield tag="003">DE-627</controlfield><controlfield tag="005">20230323110620.0</controlfield><controlfield tag="007">tu</controlfield><controlfield tag="008">200819s2005 xx ||||| 00| ||eng c</controlfield><datafield tag="024" ind1="7" ind2=" "><subfield code="a">10.1007/s00020-005-1357-5</subfield><subfield code="2">doi</subfield></datafield><datafield tag="035" ind1=" " ind2=" "><subfield code="a">(DE-627)OLC2069392872</subfield></datafield><datafield tag="035" ind1=" " ind2=" "><subfield code="a">(DE-He213)s00020-005-1357-5-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="a">004</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">Dijksma, A.</subfield><subfield code="e">verfasserin</subfield><subfield code="4">aut</subfield></datafield><datafield tag="245" ind1="1" ind2="0"><subfield code="a">High Order Singular Rank One Perturbations of a Positive Operator</subfield></datafield><datafield tag="264" ind1=" " ind2="1"><subfield code="c">2005</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">© Birkhäuser Verlag, Basel 2005</subfield></datafield><datafield tag="520" ind1=" " ind2=" "><subfield code="a">Abstract. In this paper self-adjoint realizations in Hilbert and Pontryagin spaces of the formal expression $$L_{\alpha} = L + \alpha\langle \cdot , \varphi \rangle \varphi$$ are discussed and compared. Here L is a positive self-adjoint operator in a Hilbert space $${\mathcal{H}}$$ with inner product 〈·,·〉, α is a real parameter, and φ in the rank one perturbation is a singular element belonging to $$\mathcal{H}_{{ - n}} \backslash \mathcal{H}_{{ - n + 1}}$$ with n ≥ 3, where $${\left\{ {\mathcal{H}_{s} } \right\}}^{\infty }_{{s = - \infty }} $$ is the scale of Hilbert spaces associated with L in $${\mathcal{H}}.$$</subfield></datafield><datafield tag="700" ind1="1" ind2=" "><subfield code="a">Kurasov, P.</subfield><subfield code="4">aut</subfield></datafield><datafield tag="700" ind1="1" ind2=" "><subfield code="a">Shondin, Yu.</subfield><subfield code="4">aut</subfield></datafield><datafield tag="773" ind1="0" ind2="8"><subfield code="i">Enthalten in</subfield><subfield code="t">Integral equations and operator theory</subfield><subfield code="d">Birkhäuser-Verlag, 1978</subfield><subfield code="g">53(2005), 2 vom: 30. Aug., Seite 209-245</subfield><subfield code="w">(DE-627)129859184</subfield><subfield code="w">(DE-600)282475-9</subfield><subfield code="w">(DE-576)015166651</subfield><subfield code="x">0378-620X</subfield><subfield code="7">nnns</subfield></datafield><datafield tag="773" ind1="1" ind2="8"><subfield code="g">volume:53</subfield><subfield code="g">year:2005</subfield><subfield code="g">number:2</subfield><subfield code="g">day:30</subfield><subfield code="g">month:08</subfield><subfield code="g">pages:209-245</subfield></datafield><datafield tag="856" ind1="4" ind2="1"><subfield code="u">https://doi.org/10.1007/s00020-005-1357-5</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="912" ind1=" " ind2=" "><subfield code="a">GBV_ILN_11</subfield></datafield><datafield tag="912" ind1=" " ind2=" "><subfield code="a">GBV_ILN_21</subfield></datafield><datafield tag="912" ind1=" " ind2=" "><subfield code="a">GBV_ILN_24</subfield></datafield><datafield tag="912" ind1=" " ind2=" "><subfield code="a">GBV_ILN_30</subfield></datafield><datafield tag="912" ind1=" " ind2=" "><subfield code="a">GBV_ILN_40</subfield></datafield><datafield tag="912" ind1=" " ind2=" "><subfield code="a">GBV_ILN_70</subfield></datafield><datafield tag="912" ind1=" " ind2=" "><subfield code="a">GBV_ILN_267</subfield></datafield><datafield tag="912" ind1=" " ind2=" "><subfield code="a">GBV_ILN_2002</subfield></datafield><datafield tag="912" ind1=" " ind2=" "><subfield code="a">GBV_ILN_2010</subfield></datafield><datafield tag="912" ind1=" " ind2=" "><subfield code="a">GBV_ILN_2015</subfield></datafield><datafield tag="912" ind1=" " ind2=" "><subfield code="a">GBV_ILN_2018</subfield></datafield><datafield tag="912" ind1=" " ind2=" "><subfield code="a">GBV_ILN_2020</subfield></datafield><datafield tag="912" ind1=" " ind2=" "><subfield code="a">GBV_ILN_2021</subfield></datafield><datafield tag="912" ind1=" " ind2=" "><subfield code="a">GBV_ILN_2030</subfield></datafield><datafield tag="912" ind1=" " ind2=" "><subfield code="a">GBV_ILN_2088</subfield></datafield><datafield tag="912" ind1=" " ind2=" "><subfield code="a">GBV_ILN_2409</subfield></datafield><datafield tag="912" ind1=" " ind2=" "><subfield code="a">GBV_ILN_4036</subfield></datafield><datafield tag="912" ind1=" " ind2=" "><subfield code="a">GBV_ILN_4116</subfield></datafield><datafield tag="912" ind1=" " ind2=" "><subfield code="a">GBV_ILN_4266</subfield></datafield><datafield tag="912" ind1=" " ind2=" "><subfield code="a">GBV_ILN_4277</subfield></datafield><datafield tag="912" ind1=" " ind2=" "><subfield code="a">GBV_ILN_4305</subfield></datafield><datafield tag="912" ind1=" " ind2=" "><subfield code="a">GBV_ILN_4307</subfield></datafield><datafield tag="912" ind1=" " ind2=" "><subfield code="a">GBV_ILN_4318</subfield></datafield><datafield tag="912" ind1=" " ind2=" "><subfield code="a">GBV_ILN_4325</subfield></datafield><datafield tag="951" ind1=" " ind2=" "><subfield code="a">AR</subfield></datafield><datafield tag="952" ind1=" " ind2=" "><subfield code="d">53</subfield><subfield code="j">2005</subfield><subfield code="e">2</subfield><subfield code="b">30</subfield><subfield code="c">08</subfield><subfield code="h">209-245</subfield></datafield></record></collection>
|
score |
7.3991575 |