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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

  • Book
  • © 1995

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Editors:
  1. C. B. Huijsmans
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  2. M. A. Kaashoek
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  3. W. A. J. Luxemburg
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  4. B. Pagter
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Part of the book series: Operator Theory: Advances and Applications (OT, volume 75)

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Table of contents (17 chapters)

  1. Front Matter

    Pages I-VI
    Download chapter PDF

  2. Biographical Notes

    • C. B. Huijsmans, M. A. Kaashoek, W. A. J. Luxemburg, B. de Pagter
    Pages 1-5

  3. List of Publications of A.C. Zaanen

    • C. B. Huijsmans, M. A. Kaashoek, W. A. J. Luxemburg, B. de Pagter
    Pages 7-11

  4. Curriculum Vitae of A.C. Zaanen

    • C. B. Huijsmans, M. A. Kaashoek, W. A. J. Luxemburg, B. de Pagter
    Pages 12-14

  5. Another Characterization of the Invariant Subspace Problem

    • Y. A. Abramovich, C. D. Aliprantis, O. Burkinshaw
    Pages 15-31

  6. Matrix Young Inequalities

    • T. Ando
    Pages 33-38

  7. Principal Eigenvalues and Perturbation

    • Wolfgang Arendt, Charles J. K. Batty
    Pages 39-55

  8. Input-Output Operators of J-Unitary Time-Varying Continuous Time Systems

    • J. A. Ball, I. Gohberg, M. A. Kaashoek
    Pages 57-94

  9. Optimization Without Compactness, and Its Applications

    • Alexander V. Bukhvalov
    Pages 95-112

  10. On a Submajorization Inequality of T. Ando

    • Peter G. Dodds, Theresa K. Dodds
    Pages 113-131

  11. Spectral Theory in Banach Lattices

    • J. J. Grobler
    Pages 133-172

  12. Disjointness Preserving Operators on Banach Lattices

    • C. B. Huijsmans
    Pages 173-189

  13. The Daniell-Stone-Riesz Representation Theorem

    • Heinz König
    Pages 191-222

  14. Diagonals of the Powers of an Operator on a Banach Lattice

    • W. A. J. Luxemburg, B. de Pagter, A. R. Schep
    Pages 223-273

  15. A Characterization of Lipschitz Continuous Evolution Families on Banach Spaces

    • Rainer Nagel, Abdelaziz Rhandi
    Pages 275-288

  16. On The Vitali-Hahn-Saks Theorem

    • Helmut H. Schaefer, Xiao-Dong Zhang
    Pages 289-297

  17. Minkowski’s Integral Inequality for Function Norms

    • Anton R. Schep
    Pages 299-308

  18. Program Analysis Symposium on the occasion of the 80th birthday of A.C. Zaanen

    • C. B. Huijsmans, M. A. Kaashoek, W. A. J. Luxemburg, B. de Pagter
    Pages 309-309
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Keywords

About this book

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.

Bibliographic Information

  • Book Title: Operator Theory in Function Spaces and Banach Lattices

  • Book Subtitle: 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. Pagter

  • Series Title: Operator Theory: Advances and Applications

  • DOI: https://doi.org/10.1007/978-3-0348-9076-2

  • Publisher: Birkhäuser Basel

  • eBook Packages: Springer Book Archive

  • Copyright Information: Birkhäuser Verlag 1995

  • Softcover ISBN: 978-3-0348-9896-6Published: 15 September 2011

  • eBook ISBN: 978-3-0348-9076-2Published: 06 December 2012

  • Series ISSN: 0255-0156

  • Series E-ISSN: 2296-4878

  • Edition Number: 1

  • Number of Pages: 309

  • Topics: Analysis, Math. Applications in Chemistry, Computational Intelligence

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