Non-spectral Asymptotic Analysis of One-Parameter Operator Semigroups

  • Eduard Yu. Emel’yanov
Part of the Operator Theory: Advances and Applications book series (OT, volume 173)

Table of contents

  1. Front Matter
    Pages i-viii
  2. Back Matter
    Pages 159-174

About this book

Introduction

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.

Keywords

Lattice asymptotic analysis calculus operator theory semigroups

Authors and affiliations

  • Eduard Yu. Emel’yanov
    • 1
  1. 1.Department of MathematicsMiddle East Technial UniversityAnkaraTurkey

Bibliographic information

  • DOI https://doi.org/10.1007/978-3-7643-8114-1
  • Copyright Information Birkhäuser Verlag 2007
  • Publisher Name Birkhäuser Basel
  • eBook Packages Mathematics and Statistics
  • Print ISBN 978-3-7643-8095-3
  • Online ISBN 978-3-7643-8114-1