On Closability of Directional Gradients
Abstract Let μ be a centred Gaussian measure on a separable real Banach space E, and let H be a Hilbert subspace of E. We provide necessary and sufficient conditions for closability in Lp(E,μ) of the gradient DH in the direction of H. These conditions are further elaborated in case when the gradient...
Ausführliche Beschreibung
Gespeichert in:
| Autor*in: |
Goldys, B. [verfasserIn] |
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| Format: |
Artikel |
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| Sprache: |
Englisch |
| Erschienen: |
2003 |
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| Anmerkung: |
© Kluwer Academic Publishers 2003 |
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| Übergeordnetes Werk: |
Enthalten in: Potential analysis - Kluwer Academic Publishers, 1992, 18(2003), 4 vom: Juni, Seite 289-310 |
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| Übergeordnetes Werk: |
volume:18 ; year:2003 ; number:4 ; month:06 ; pages:289-310 |
| Links: |
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| DOI / URN: |
10.1023/A:1021832202659 |
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OLC2046677536 |
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| 520 | |a Abstract Let μ be a centred Gaussian measure on a separable real Banach space E, and let H be a Hilbert subspace of E. We provide necessary and sufficient conditions for closability in Lp(E,μ) of the gradient DH in the direction of H. These conditions are further elaborated in case when the gradient DH corresponds to a bilinear form associated with a certain nonsymmetric Ornstein–Uhlenbeck operator. Some natural examples of closability and nonclosability are presented. | ||
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10.1023/A:1021832202659 doi (DE-627)OLC2046677536 (DE-He213)A:1021832202659-p DE-627 ger DE-627 rakwb eng 510 VZ 17,1 ssgn Goldys, B. verfasserin aut On Closability of Directional Gradients 2003 Text txt rdacontent ohne Hilfsmittel zu benutzen n rdamedia Band nc rdacarrier © Kluwer Academic Publishers 2003 Abstract Let μ be a centred Gaussian measure on a separable real Banach space E, and let H be a Hilbert subspace of E. We provide necessary and sufficient conditions for closability in Lp(E,μ) of the gradient DH in the direction of H. These conditions are further elaborated in case when the gradient DH corresponds to a bilinear form associated with a certain nonsymmetric Ornstein–Uhlenbeck operator. Some natural examples of closability and nonclosability are presented. Gozzi, F. aut van Neerven, J.M.A.M. aut Enthalten in Potential analysis Kluwer Academic Publishers, 1992 18(2003), 4 vom: Juni, Seite 289-310 (DE-627)165647787 (DE-600)33485-6 (DE-576)032989911 0926-2601 nnns volume:18 year:2003 number:4 month:06 pages:289-310 https://doi.org/10.1023/A:1021832202659 lizenzpflichtig Volltext GBV_USEFLAG_A SYSFLAG_A GBV_OLC SSG-OLC-MAT SSG-OPC-MAT GBV_ILN_40 GBV_ILN_70 GBV_ILN_2007 GBV_ILN_2014 GBV_ILN_2021 GBV_ILN_2088 GBV_ILN_2409 GBV_ILN_4027 GBV_ILN_4325 AR 18 2003 4 06 289-310 |
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10.1023/A:1021832202659 doi (DE-627)OLC2046677536 (DE-He213)A:1021832202659-p DE-627 ger DE-627 rakwb eng 510 VZ 17,1 ssgn Goldys, B. verfasserin aut On Closability of Directional Gradients 2003 Text txt rdacontent ohne Hilfsmittel zu benutzen n rdamedia Band nc rdacarrier © Kluwer Academic Publishers 2003 Abstract Let μ be a centred Gaussian measure on a separable real Banach space E, and let H be a Hilbert subspace of E. We provide necessary and sufficient conditions for closability in Lp(E,μ) of the gradient DH in the direction of H. These conditions are further elaborated in case when the gradient DH corresponds to a bilinear form associated with a certain nonsymmetric Ornstein–Uhlenbeck operator. Some natural examples of closability and nonclosability are presented. Gozzi, F. aut van Neerven, J.M.A.M. aut Enthalten in Potential analysis Kluwer Academic Publishers, 1992 18(2003), 4 vom: Juni, Seite 289-310 (DE-627)165647787 (DE-600)33485-6 (DE-576)032989911 0926-2601 nnns volume:18 year:2003 number:4 month:06 pages:289-310 https://doi.org/10.1023/A:1021832202659 lizenzpflichtig Volltext GBV_USEFLAG_A SYSFLAG_A GBV_OLC SSG-OLC-MAT SSG-OPC-MAT GBV_ILN_40 GBV_ILN_70 GBV_ILN_2007 GBV_ILN_2014 GBV_ILN_2021 GBV_ILN_2088 GBV_ILN_2409 GBV_ILN_4027 GBV_ILN_4325 AR 18 2003 4 06 289-310 |
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10.1023/A:1021832202659 doi (DE-627)OLC2046677536 (DE-He213)A:1021832202659-p DE-627 ger DE-627 rakwb eng 510 VZ 17,1 ssgn Goldys, B. verfasserin aut On Closability of Directional Gradients 2003 Text txt rdacontent ohne Hilfsmittel zu benutzen n rdamedia Band nc rdacarrier © Kluwer Academic Publishers 2003 Abstract Let μ be a centred Gaussian measure on a separable real Banach space E, and let H be a Hilbert subspace of E. We provide necessary and sufficient conditions for closability in Lp(E,μ) of the gradient DH in the direction of H. These conditions are further elaborated in case when the gradient DH corresponds to a bilinear form associated with a certain nonsymmetric Ornstein–Uhlenbeck operator. Some natural examples of closability and nonclosability are presented. Gozzi, F. aut van Neerven, J.M.A.M. aut Enthalten in Potential analysis Kluwer Academic Publishers, 1992 18(2003), 4 vom: Juni, Seite 289-310 (DE-627)165647787 (DE-600)33485-6 (DE-576)032989911 0926-2601 nnns volume:18 year:2003 number:4 month:06 pages:289-310 https://doi.org/10.1023/A:1021832202659 lizenzpflichtig Volltext GBV_USEFLAG_A SYSFLAG_A GBV_OLC SSG-OLC-MAT SSG-OPC-MAT GBV_ILN_40 GBV_ILN_70 GBV_ILN_2007 GBV_ILN_2014 GBV_ILN_2021 GBV_ILN_2088 GBV_ILN_2409 GBV_ILN_4027 GBV_ILN_4325 AR 18 2003 4 06 289-310 |
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Abstract Let μ be a centred Gaussian measure on a separable real Banach space E, and let H be a Hilbert subspace of E. We provide necessary and sufficient conditions for closability in Lp(E,μ) of the gradient DH in the direction of H. These conditions are further elaborated in case when the gradient DH corresponds to a bilinear form associated with a certain nonsymmetric Ornstein–Uhlenbeck operator. Some natural examples of closability and nonclosability are presented. © Kluwer Academic Publishers 2003 |
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