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The Adjoint of a Semigroup of Linear Operators

  • Authors
  • Jan van Neerven

Part of the Lecture Notes in Mathematics book series (LNM, volume 1529)

Table of contents

  1. Front Matter
    Pages I-X
  2. Jan van Neerven
    Pages 1-18
  3. Jan van Neerven
    Pages 19-39
  4. Jan van Neerven
    Pages 40-68
  5. Jan van Neerven
    Pages 69-95
  6. Jan van Neerven
    Pages 96-110
  7. Jan van Neerven
    Pages 111-121
  8. Jan van Neerven
    Pages 122-143
  9. Jan van Neerven
    Pages 144-175
  10. Back Matter
    Pages 176-195

About this book

Introduction

This monograph provides a systematic treatment of the abstract theory of adjoint semigroups. After presenting the basic elementary results, the following topics are treated in detail: The sigma (X, X )-topology, -reflexivity, the Favard class, Hille-Yosida operators, interpolation and extrapolation, weak -continuous semigroups, the codimension of X in X , adjoint semigroups and the Radon-Nikodym property, tensor products of semigroups and duality, positive semigroups and multiplication semigroups. The major part of the material is reasonably self-contained and is accessible to anyone with basic knowledge of semi- group theory and Banach space theory. Most of the results are proved in detail. The book is addressed primarily to researchers working in semigroup theory, but in view of the "Banach space theory" flavour of many of the results, it will also be of interest to Banach space geometers and operator theorists.

Keywords

Banach Space Group theory adjoint semigroup one-parameter semigroup of linear operators positive semigroup radon-nikodym property tensor product

Bibliographic information

  • DOI https://doi.org/10.1007/BFb0085008
  • Copyright Information Springer-Verlag Berlin Heidelberg 1992
  • Publisher Name Springer, Berlin, Heidelberg
  • eBook Packages Springer Book Archive
  • Print ISBN 978-3-540-56260-3
  • Online ISBN 978-3-540-47497-5
  • Series Print ISSN 0075-8434
  • Series Online ISSN 1617-9692
  • Buy this book on publisher's site