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New Results in Operator Theory and Its Applications

The Israel M. Glazman Memorial Volume

  • Conference proceedings
  • © 1997

Overview

Editors:
  1. I. Gohberg

    1. Raymond and Beverly Sackler Faculty of Exact Sciences School of Mathematical Sciences, Tel Aviv University, Tel Aviv, Israel

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  2. Yu. Lyubich

    1. Raymond and Beverly Sackler Faculty of Exact Sciences School of Mathematical Sciences, Tel Aviv University, Tel Aviv, Israel

    View editor publications

    You can also search for this editor in PubMed   Google Scholar

Part of the book series: Operator Theory: Advances and Applications (OT, volume 98)

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Table of contents (19 papers)

  1. Front Matter

    Pages I-VII
    Download chapter PDF

  2. Israel Glazman, Mathematician and Personality

    • Yu. Lyubich, V. Tkachenko
    Pages 1-6

  3. Principle of Weakly Contractive Maps in Hilbert Spaces

    • Ya. I. Alber, S. Guerre-Delabriere
    Pages 7-22

  4. Potentials Associated to Rational Weights

    • D. Alpay, I. Gohberg
    Pages 23-40

  5. Multidimensional Functional Equations Generated by Affine Transformations

    • G. Belitskii
    Pages 41-54

  6. Realization Theorems for Operator-Valued R-Functions

    • S. V. Belyi, E. R. Tsekanovskii
    Pages 55-91

  7. Timan’s Type Result on Approximation by Algebraic Polynomials

    • Yuri Brudnyi
    Pages 92-101

  8. Asymptotic Formulas for Spectral and Weyl Functions of Sturm-Liouville Operators With Smooth Coefficients

    • Anne Boutet De Monvel, Vladimir Marchenko
    Pages 102-117

  9. The Glazman-Krein-Naimark Theorem for Ordinary Differential Operators

    • W. N. Everitt, L. Markus
    Pages 118-130

  10. Metric Critical Point Theory 2. Deformation Techniques

    • A. Ioffe, E. Schwartzman
    Pages 131-144

  11. Ergodic Methods for the Construction of Holomorphic Retractions

    • Victor Khatskevich, Simeon Reich, David Shoikhet
    Pages 145-152

  12. New Proof of Trace Formulas in Case of Classical Sturm-Liouville Problem

    • B. M. Levitan
    Pages 153-162

  13. Commuting Nonselfadjoint Operators and a Unified Theory of Waves and Corpuscles

    • M. S. Livšic
    Pages 163-185

  14. On Stability of Non-Negative Invariant Subspaces

    • V. Lomonosov
    Pages 186-189

  15. The Duality of Spectral Manifolds and Local Spectral Theory

    • V. Lomonosov, Yu. Lyubich, V. Matsaev
    Pages 190-207

  16. Degenerated Elliptic Boundary Value Problems for Weak Coupled Systems. Solvability and Maximum Principle

    • B. Paneah
    Pages 208-215

  17. Characterization of the Periodic and Anti-Periodic Spectra of Nonselfadjoint Hill’s Operators

    • J.-J. Sansuc, V. Tkachenko
    Pages 216-224

  18. A Lower Confidence Limit for the Multiple Correlation Coefficient

    • I. M. Slivnyak
    Pages 225-229

  19. Analysis in Classes of Discontinuous Functions and Partial Differential Equations

    • A. I. Volpert
    Pages 230-248

  20. The Behaviour of Solutions of Ordinary Differential Equations in Infinite Domains

    • Ya. I. Zhitomirskii
    Pages 249-257
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Keywords

About this book

This volume is dedicated to the memory of Israel Glazman, an outstanding personality and distinguished mathematician, the author of many remarkable papers and books in operator theory and its applications. The present book opens with an essay devoted to Glazman's life and scientific achievements. It focusses on the areas of his unusually wide interests and consists of 18 mathematical papers in spectral theory of differential operators and linear operators in Hilbert and Banach spaces, analytic operator functions, ordinary and partial differential equations, functional equations, mathematical physics, nonlinear functional analysis, approximation theory and optimization, and mathematical statistics. The book gives a picture of the current state of some important problems in areas of operator theory and its applications and will be of interest to a wide group of researchers working in pure and applied mathematics.

Editors and Affiliations

  • Raymond and Beverly Sackler Faculty of Exact Sciences School of Mathematical Sciences, Tel Aviv University, Tel Aviv, Israel

    I. Gohberg, Yu. Lyubich

Bibliographic Information

  • Book Title: New Results in Operator Theory and Its Applications

  • Book Subtitle: The Israel M. Glazman Memorial Volume

  • Editors: I. Gohberg, Yu. Lyubich

  • Series Title: Operator Theory: Advances and Applications

  • DOI: https://doi.org/10.1007/978-3-0348-8910-0

  • Publisher: Birkhäuser Basel

  • eBook Packages: Springer Book Archive

  • Copyright Information: Springer Basel AG 1997

  • Hardcover ISBN: 978-3-7643-5775-7Published: 19 August 1997

  • Softcover ISBN: 978-3-0348-9824-9Published: 24 October 2012

  • eBook ISBN: 978-3-0348-8910-0Published: 06 December 2012

  • Series ISSN: 0255-0156

  • Series E-ISSN: 2296-4878

  • Edition Number: 1

  • Number of Pages: VII, 261

  • Number of Illustrations: 2 b/w illustrations

  • Topics: Analysis

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