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- Publisher: Springer Basel AG
- Year: 2009
- ISBN: 9780817649326
- ISBN-10: 0817649328
- ISBN-13: 9780817649326
- Format: PDF
- Language: English
Topics in Operator Semigroups (e-book) (used book) | bookbook.eu
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Description
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.
- Publisher: Springer Basel AG
- Year: 2009
- ISBN: 9780817649326
- ISBN-10: 0817649328
- ISBN-13: 9780817649326
- Format: PDF
- Language: English English
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.
Reviews