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The Adjoint of a Semigroup of Linear Operators

  • Book
  • © 1992

Overview

Authors:
  1. Jan Neerven
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Part of the book series: Lecture Notes in Mathematics (LNM, volume 1529)

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Table of contents (8 chapters)

  1. Front Matter

    Pages I-X
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  2. The adjoint semigroup

    • Jan van Neerven
    Pages 1-18

  3. The σ(X,X⊙)-topology

    • Jan van Neerven
    Pages 19-39

  4. Interpolation, extrapolation and duality

    • Jan van Neerven
    Pages 40-68

  5. Perturbation theory

    • Jan van Neerven
    Pages 69-95

  6. Dichotomy theorems

    • Jan van Neerven
    Pages 96-110

  7. Adjoint semigroups and the RNP

    • Jan van Neerven
    Pages 111-121

  8. Tensor products

    • Jan van Neerven
    Pages 122-143

  9. The adjoint of a positive semigroup

    • Jan van Neerven
    Pages 144-175

  10. Back Matter

    Pages 176-195
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Keywords

About this book

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.

Bibliographic Information

  • Book Title: The Adjoint of a Semigroup of Linear Operators

  • Authors: Jan Neerven

  • Series Title: Lecture Notes in Mathematics

  • DOI: https://doi.org/10.1007/BFb0085008

  • Publisher: Springer Berlin, Heidelberg

  • eBook Packages: Springer Book Archive

  • Copyright Information: Springer-Verlag Berlin Heidelberg 1992

  • Softcover ISBN: 978-3-540-56260-3Published: 14 December 1992

  • eBook ISBN: 978-3-540-47497-5Published: 15 November 2006

  • Series ISSN: 0075-8434

  • Series E-ISSN: 1617-9692

  • Edition Number: 1

  • Number of Pages: X, 198

  • Topics: Analysis

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