Download the Free Fishpond App!
Download on the App Store

Android App on Google play
Topics in Operator Semigroups (Progress in Mathematics)

Already own it?

Sell Yours
Home » Books » Science » Mathematics » Algebra » General

Topics in Operator Semigroups

Progress in Mathematics

By Shmuel Kantorovitz

Elsewhere $280.95 $125.51   Save $155.44 (55%)
or 4 easy payments of $31.38 with What's this?
Free shipping Australia wide
Condition: New
Ships within: 4-8 days
New or Used: 91 copies from $125.51
Order now for Christmas delivery
Register or sign-in to rate and get recommendations.
Format: Hardback, 282 pages
Published In: Germany, 01 December 2009
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.


From the reviews: "This book is based on the author's lecture notes ... in which the more advanced parts concentrated on spectral representations. ... There is also a presentation of a well-known stability theorem for semigroups under countable spectral conditions. ... The increased variety of topics covered will make the book more useful ... . Other advantages are the inclusion of an index and some exercises, considerable extensions of the bibliography and the list of contents, and more attractive typesetting." (C. J. K. Batty, Mathematical Reviews, Issue 2010 k) "The present graduate level text expands the previous lecture notes from the same author, Semigroups of operators and spectral theory ... . It begins with a succinct introduction to operator semigroups covering classical topics such as generators, the Hille-Yosida theorem, dissipative operators and the Lumer-Phillips theorem, the Trotter convergence theorem, exponential formulas, perturbation theory, Stone's theorem, and analytic semigroups. ... The text is also intended for second-year graduate students ... . it will be a valuable source for researchers working in this area." (G. Teschl, Monatshefte fur Mathematik, Vol. 162 (4), April, 2011)

EAN: 9780817649319
ISBN: 081764931X
Publisher: Birkhauser Boston
Dimensions: 15.6 x 23.39 x 1.73 centimetres (0.60 kg)
Age Range: 15+ years
Tell a friend

Their Email:

Sell Yours

Already own this item?
Sell Yours and earn some cash. It's fast and free to list! (Learn More.)

Review this Product


Related Searches


Webmasters, Bloggers & Website Owners

You can earn a 5% commission by selling Topics in Operator Semigroups (Progress in Mathematics) on your website. It's easy to get started - we will give you example code. After you're set-up, your website can earn you money while you work, play or even sleep!



Are you the Author/Publisher? Improve sales by submitting additional information on this title.