Topics in Operator Semigroups
by Shmuel Kantorovitz (9780817649319)

Topics in Operator Semigroups
Shmuel Kantorovitz
Release Date: 10 December 1010
Format: Hardback
Pages: 266
Categories: Group Theory
Mathematical Analysis
ISBN: 9780817649319
ISBN-10: 081764931X

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 Hillea "Yosida and Lumera "Phillips characterizations of semigroup generators

* The Trottera "Kato approximation theorem

* Katoa (TM)s unified treatment of the exponential formula and the Trotter product formula

* The Hillea "Phillips perturbation theorem, and Stonea (TM)s representation of unitary semigroups

* Generalizations of spectral theorya (TM)s connection to operator semigroups

* A natural generalization of Stonea (TM)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.

AUD $286.95

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