Positive Operators and Semigroups on Banach Lattices

Proceedings of a Caribbean Mathematics Foundation Conference 1990

  • C. B. Huijsmans
  • W. A. J. Luxemburg

Table of contents

  1. Front Matter
    Pages i-vii
  2. Y. A. Abramovich, C. D. Aliprantis, O. Burkinshaw
    Pages 1-22
  3. W. Arendt, J. Voigt
    Pages 27-31
  4. B. Eberhardt, G. Greiner
    Pages 47-54
  5. A. W. Hager, Jorge Martinez
    Pages 55-65
  6. C. B. Huijsmans, W. A. J. Luxemburg
    Pages 67-71
  7. C. B. Huijsmans, B. De Pagter
    Pages 73-78
  8. Lech Maligranda
    Pages 79-89
  9. Back Matter
    Pages 143-152

About this book

Introduction

During the last twenty-five years, the development of the theory of Banach lattices has stimulated new directions of research in the theory of positive operators and the theory of semigroups of positive operators. In particular, the recent investigations in the structure of the lattice ordered (Banach) algebra of the order bounded operators of a Banach lattice have led to many important results in the spectral theory of positive operators. The contributions contained in this volume were presented as lectures at a conference organized by the Caribbean Mathematics Foundation, and provide an overview of the present state of development of various areas of the theory of positive operators and their spectral properties.
This book will be of interest to analysts whose work involves positive matrices and positive operators.

Keywords

Interpolation Lattice algebra maximum semigroup spectral theory

Editors and affiliations

  • C. B. Huijsmans
    • 1
  • W. A. J. Luxemburg
    • 2
  1. 1.Department of Mathematics and Computer ScienceLeiden UniversityLeidenThe Netherlands
  2. 2.California Institute of TechnologyPasadenaUSA

Bibliographic information

  • DOI https://doi.org/10.1007/978-94-017-2721-1
  • Copyright Information Springer Science+Business Media B.V. 1992
  • Publisher Name Springer, Dordrecht
  • eBook Packages Springer Book Archive
  • Print ISBN 978-90-481-4205-7
  • Online ISBN 978-94-017-2721-1
  • About this book