Functional inequalities on abstract Hilbert spaces and applications (Q1434194)
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scientific article; zbMATH DE number 2078056
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | Functional inequalities on abstract Hilbert spaces and applications |
scientific article; zbMATH DE number 2078056 |
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Functional inequalities on abstract Hilbert spaces and applications (English)
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1 July 2004
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Continuing the author's previous works [Infin. Dimens. Anal. Quantum Probab. Relat. Top. 3, 263--295 (2000; Zbl 1037.47505); J. Funct. Anal. 194, 288--310 (2002; Zbl 1021.58007)], some generalization of Poincaré-Sobolev type inequalities is used for the study of the essential spectrum and the semigroup property for selfadjoint operators on abstract Hilbert spaces. Non-symmetric semigroups are also studied.
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Hilbert spaces
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functional inequalities
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selfadjoint operators
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essential spectrum
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semigroup property
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