Topics in Operator Semigroups: 281 - Rilegato

Kantorovitz, Shmuel

Rilegato

ISBN 10: 081764931X ISBN 13: 9780817649319

Casa editrice: Birkhauser, 2009

Riassunto

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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Dalla quarta di copertina

The theory of operator semigroups was essentially discovered in the early 1930s.  Since then, the theory has developed into a rich and exciting area of functional analysis and has been applied to various mathematical topics such as Markov processes, the abstract Cauchy problem, evolution equations, and mathematical physics.

This self-contained monograph focuses primarily on the theoretical connection between the theory of operator semigroups and spectral theory. Divided into three parts with a total of twelve distinct chapters, this book gives an in-depth account of the subject with numerous examples, detailed proofs, and a brief look at a few applications.

Topics include:

* 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

*  Generalizations of spectral theory s connection to operator semigroups

* A natural generalization of Stone s spectral integral representation to a Banach space setting

With a collection of miscellaneous exercises at the end of the book and an introductory chapter examining the basic theory involved, this monograph is suitable for second-year graduate students interested in operator semigroups.

Dettagli dell'edizione

• Editore: Birkhauser
• Data di pubblicazione: 2009
• Lingua: Inglese
• ISBN 10: 081764931X
• ISBN 13: 9780817649319
• Rilegatura: Copertina rigida
• Numero edizione: 1
• Numero di pagine: 266
• Contatto del produttore: non disponibile
• Persona responsabile: Buchpark GmbH; gpsr@buchpark.de; ; Krügerweg 1; Trebbin; Brandenburg; 14959; Germania