SmartSellTM - The New Way to Sell Online

Shop over 1.5 Million Toys in our Huge New Range

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.
Product Details

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)

Look for similar items by category
People also searched for
How Fishpond Works
Fishpond works with suppliers all over the world to bring you a huge selection of products, really great prices, and delivery included on over 25 million products that we sell. We do our best every day to make Fishpond an awesome place for customers to shop and get what they want — all at the best prices online.
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! You should start right now!
Authors / Publishers
Are you the Author or Publisher of a book? Or the manufacturer of one of the millions of products that we sell. You can improve sales and grow your revenue by submitting additional information on this title. The better the information we have about a product, the more we will sell!
Item ships from and is sold by Fishpond World Ltd.
Back to top