Non-spectral Asymptotic Analysis of One-Parameter Operator Semigroups

Eduard Yu. Emel'yanov

ISBN 10: 3764380950 / ISBN 13: 9783764380953

Published by Birkhäuser Basel, Birkhäuser Basel Dez 2006, 2006

About this Item

Neuware -In this book, non-spectral methods are presented and discussed that have been developed over the last two decades for the investigation of asymptotic behavior of operator semigroups. This concerns in particular Markov semigroups in L1-spaces, motivated by applications to probability theory and dynamical systems. Recently many results on the asymptotic behaviour of Markov semigroups were extended to positive semigroups in Banach lattices with order-continuous norm, and to positive semigroups in non-commutative L1-spaces. Related results, historical notes, exercises, and open problems accompany each chapter.Springer Basel AG in Springer Science + Business Media, Heidelberger Platz 3, 14197 Berlin 184 pp. Englisch. Seller Inventory # 9783764380953

Bibliographic Details

Title: Non-spectral Asymptotic Analysis of ...

Publisher: Birkhäuser Basel, Birkhäuser Basel Dez 2006

Publication Date: 2006

Binding: Buch

Condition: Neu

About this title

Synopsis:

In this book, non-spectral methods are presented and discussed that have been developed over the last two decades for the investigation of asymptotic behavior of operator semigroups. This concerns in particular Markov semigroups in L¹-spaces, motivated by applications to probability theory and dynamical systems. Recently many results on the asymptotic behaviour of Markov semigroups were extended to positive semigroups in Banach lattices with order-continuous norm, and to positive semigroups in non-commutative L¹-spaces. Related results, historical notes, exercises, and open problems accompany each chapter.

From the Back Cover:

In this book, non-spectral methods are presented and discussed that have been developed over the last two decades for the investigation of asymptotic behavior of one-parameter operator semigroups in Banach spaces. This concerns in particular Markov semigroups in L¹-spaces, motivated by applications to probability theory and dynamical systems. Recently many results on the asymptotic behaviour of Markov semigroups were extended to positive semigroups in Banach lattices with order-continuous norm, and to positive semigroups in non-commutative L¹-spaces. Related results, historical notes, exercises, and open problems accompany each chapter.

The book is directed to graduate students and researchers working in operator theory, particularly those interested in C₀-semigroups in classical and non-commutative L¹-spaces, in mean ergodic theory, and in dynamical systems.