Topics in Operator Semigroups
| Autor: | Shmuel Kantorovitz |
|---|---|
| EAN: | 9780817649326 |
| eBook Format: | |
| Sprache: | Englisch |
| Produktart: | eBook |
| Veröffentlichungsdatum: | 22.10.2009 |
| Kategorie: | |
| Schlagworte: | Nussbaum's theorem Stone's representation Trotter--Kato approximation theorem Trotter product formula functional analysis operator semigroups spectral theory unitary semigroups |
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This monograph is concerned with the interplay between the theory of operator semigroups and spectral theory. The basics on operator semigroups are concisely covered in this self-contained text. Part I deals with the Hille--Yosida and Lumer--Phillips characterizations of semigroup generators, the Trotter--Kato approximation theorem, Kato's unified treatment of the exponential formula and the Trotter product formula, the Hille--Phillips perturbation theorem, and Stone's representation of unitary semigroups. Part II explores generalizations of spectral theory's connection to operator semigroups.
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