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
Gespeichert in:
| Autor*in: |
Dijksma, A. [verfasserIn] |
|---|
| Format: |
Artikel |
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| Sprache: |
Englisch |
| Erschienen: |
2005 |
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| Anmerkung: |
© Birkhäuser Verlag, Basel 2005 |
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| 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 |
|---|
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| 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 | |
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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 |
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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 |
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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 |
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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 |
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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 |
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510 004 VZ 17,1 ssgn High Order Singular Rank One Perturbations of a Positive Operator |
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High Order Singular Rank One Perturbations of a Positive Operator |
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High Order Singular Rank One Perturbations of a Positive Operator |
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Dijksma, A. |
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Integral equations and operator theory |
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high order singular rank one perturbations of a positive operator |
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High Order Singular Rank One Perturbations of a Positive Operator |
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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 |
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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 |
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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 |
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