Operator Theory in Function Spaces and Banach Lattices

1. Front Matter

   Pages I-VI

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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

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.

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

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