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Operator Theory in Function Spaces and Banach Lattices

Essays dedicated to A.C. Zaanen on the occasion of his 80th birthday

  • Editors
  • C. B. Huijsmans
  • M. A. Kaashoek
  • W. A. J. Luxemburg
  • B. de Pagter

Part of the Operator Theory Advances and Applications book series (OT, volume 75)

Table of contents

  1. Front Matter
    Pages I-VI
  2. C. B. Huijsmans, M. A. Kaashoek, W. A. J. Luxemburg, B. de Pagter
    Pages 1-5
  3. C. B. Huijsmans, M. A. Kaashoek, W. A. J. Luxemburg, B. de Pagter
    Pages 7-11
  4. C. B. Huijsmans, M. A. Kaashoek, W. A. J. Luxemburg, B. de Pagter
    Pages 12-14
  5. Y. A. Abramovich, C. D. Aliprantis, O. Burkinshaw
    Pages 15-31
  6. T. Ando
    Pages 33-38
  7. Wolfgang Arendt, Charles J. K. Batty
    Pages 39-55
  8. J. A. Ball, I. Gohberg, M. A. Kaashoek
    Pages 57-94
  9. Alexander V. Bukhvalov
    Pages 95-112
  10. Peter G. Dodds, Theresa K. Dodds
    Pages 113-131
  11. J. J. Grobler
    Pages 133-172
  12. W. A. J. Luxemburg, B. de Pagter, A. R. Schep
    Pages 223-273
  13. Helmut H. Schaefer, Xiao-Dong Zhang
    Pages 289-297
  14. C. B. Huijsmans, M. A. Kaashoek, W. A. J. Luxemburg, B. de Pagter
    Pages 309-309

About this book

Introduction

This volume is dedicated to A.C. Zaanen, one of the pioneers of functional analysis, and eminent expert in modern integration theory and the theory of vector lattices, on the occasion of his 80th birthday. The book opens with biographical notes, including Zaanen's curriculum vitae and list of publications. It contains a selection of original research papers which cover a broad spectrum of topics about operators and semigroups of operators on Banach lattices, analysis in function spaces and integration theory. Special attention is paid to the spectral theory of operators on Banach lattices; in particular, to the one of positive operators. Classes of integral operators arising in systems theory, optimization and best approximation problems, and evolution equations are also discussed. The book will appeal to a wide range of readers engaged in pure and applied mathematics.

Keywords

Eigenvalue Operator theory Vector Lattices compactness differential equation evolution functional analysis mathematics optimization systems theory

Bibliographic information