Topics in operator semigroups
Author(s)
Bibliographic Information
Topics in operator semigroups
（Progress in mathematics, v. 281）
Birkhäuser, c2010
Available at / 38 libraries
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Library, Research Institute for Mathematical Sciences, Kyoto University数研
KAN||16||3200014018937
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Note
Includes bibliographical references (p. [253]-261) and index
Description and Table of Contents
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.
Table of Contents
- General Theory.- Basic Theory.- The Semi-Simplicity Space for Groups.- Analyticity.- The Semigroup as a Function of its Generator.- Large Parameter.- Boundary Values.- Pre-Semigroups.- Integral Representations.- The Semi-Simplicity Space.- The Laplace#x2013
- Stieltjes Space.- Families of Unbounded Symmetric Operators.- A Taste of Applications.- Analytic Families of Evolution Systems.- Similarity.
by "Nielsen BookData"
