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Birkhäuser

Non-spectral Asymptotic Analysis of One-Parameter Operator Semigroups

  • Book
  • © 2007

Overview

  • Presents in a systematic way recent results on the asymptotic behaviour of operator semigroups and related topics, especially concerning positive semigroups in classical and non-commutative L1-spaces
  • Contains many open problems
  • Includes supplementary material: sn.pub/extras

Part of the book series: Operator Theory: Advances and Applications (OT, volume 173)

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Table of contents (3 chapters)

Keywords

About this book

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.

Authors and Affiliations

  • Department of Mathematics, Middle East Technial University, Ankara, Turkey

    Eduard Yu. Emel’yanov

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