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Operator Theory and Related Topics

Proceedings of the Mark Krein International Conference on Operator Theory and Applications, Odessa, Ukraine, August 18–22, 1997 Volume II

  • Conference proceedings
  • © 2000

Overview

Editors:
  1. V. M. Adamyan

    1. Department of Theoretical Physics, University of Odessa, Odessa, Ukraine

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  2. I. Gohberg

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

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  3. M. Gorbachuk

    1. Institute of Mathematics, National Academy of Sciences of Ukraine, Kyiv, Ukraine

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  4. V. Gorbachuk

    1. Institute of Mathematics, National Academy of Sciences of Ukraine, Kyiv, Ukraine

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  5. M. A. Kaashoek

    1. Department of Mathematics, Vrije Universiteit, HV Amsterdam, The Netherlands

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  6. H. Langer

    1. Department of Mathematics, Technical University of Vienna, Vienna, Austria

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  7. G. Popov

    1. Institute of Mathematics, Economics and Mechanics, Odessa State University, Odessa, Ukraine

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Part of the book series: Operator Theory: Advances and Applications (OT, volume 118)

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Table of contents (23 papers)

  1. Front Matter

    Pages i-xxiv
    Download chapter PDF

  2. M.G. Krein’s Contributions to Prediction Theory

    • Harry Dym
    Pages 1-15

  3. M.G. Krein’s Contribution to the Moment Problem

    • Adolf A. Nudelman
    Pages 17-32

  4. Solution of the Truncated Matrix Hamburger Moment Problem According to M.G. Krein

    • V. M. Adamyan, I. M. Tkachenko
    Pages 33-51

  5. Extreme Points of a Positive Operator Ball

    • T. Ando
    Pages 53-66

  6. M-Accretive Extensions of Sectorial Operators and Krein Spaces

    • Y. M. Arlinskii
    Pages 67-82

  7. A Proof of the Continuous Commutant Lifting Theorem

    • Ramon Bruzual, Marisela Dominguez
    Pages 83-89

  8. An Outer Derivation Construction on the Algebra of Singular Integral Operators with General Coefficients in Weighted Spaces and its Applications

    • V. M. Deundyak, K. A. Georgiev
    Pages 91-103

  9. Self-adjoint Operators with Inner Singularities and Pontryagin Spaces

    • Aad Dijksma, Heinz Langer, Yuri Shondin, Chris Zeinstra
    Pages 105-175

  10. On the Uniform Convergence Theorem of Semigroups

    • Ya. I. Grushka
    Pages 177-179

  11. On Stochastic Integral, Wick Calculus and Generalized Stochastic Equations on Distribution Spaces of Non-Gaussian Infinite-dimensional Analysis

    • N. A. Kachanovsky
    Pages 181-189

  12. Bistrict Plus-operators in Krein Spaces and Dichotomous Behavior of Irreversible Dynamical Systems

    • Victor Khatskevich, Leonid Zelenko
    Pages 191-203

  13. Singular Operator as a Parameter of Self-adjoint Extensions

    • Volodymyr Koshmanenko
    Pages 205-223

  14. Few-body Krein’s Formula

    • Pavel Kurasov, Boris Pavlov
    Pages 225-254

  15. Linearization and Compact Perturbation of Self-adjoint Analytic Operator Functions

    • H. Langer, A. Markus, V. Matsaev
    Pages 255-285

  16. Operator Interpretation of Resonances Generated by Some Operator Matrices

    • R. Mennicken, A. K. Motovilov
    Pages 287-302

  17. Generalized Resolvents of Isometric Linear Relations in Pontryagin Spaces, I: Foundations

    • Oleg Nitz
    Pages 303-319

  18. A Termwise Differentiation in the Inductive Scales of the Locally Convex Spaces

    • I. V. Orlov
    Pages 321-333

  19. Operator Relations, Dynamical Systems, and Representations of a Class of Wick Algebras

    • Vasyl Ostrovskyi, Daniil Proskurin
    Pages 335-345

  20. On Representations of F n -Algebras and Invertibility Symbols

    • Slavik Rabanovich, Yuriĭ Samoĭlenko
    Pages 347-357
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Keywords

About this book

The present book is the second of the two volume Proceedings of the Mark Krein International Conference on Operator Theory and Applications. This conference, which was dedicated to the 90th Anniversary of the prominent mathematician Mark Krein, was held in Odessa, Ukraine from 18-22 August, 1997. The conference focused on the main ideas, methods, results, and achievements of M. G. Krein. This second volume is devoted to operator theory and related topics. It opens with the bibliography of M. G. Krein and a number of survey papers about his work. The main part of the book consists of original research papers presenting the state of the art in operator theory and its applications. The first volume of these proceedings, entitled Differential Operators and related Topics, concerns the other aspects of the conference. The two volumes will be of interest to a wide-range of readership in pure and applied mathematics, physics and engineering sciences. Table of Contents Preface. . . . . . . . .. . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . v Table of Contents . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . vii Bibliography of Mark Grigorevich Krein . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . ix Review papers: M. G. Krein's Contributions to Prediction Theory H. Dym M. G. Krein's Contribution to the Moment. . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 17 AA Nudelman Research Papers: Solution of the Truncated Matrix Hamburger Moment Problem according to M. G. Krein . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 33 Y. M. Adamyan and I. M. Tkachenko Extreme Points of a Positive Operator Ball . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 53 T. Ando M-accretive Extensions of Sectorial Operators and Krein Spaces . . . . . . . . . 67 Y. M. Arlinskii A Simple Proof of the Continuous Commutant Lifting Theorem . . . . . . . . . . 83 R. Bruzual and M.

Editors and Affiliations

  • Department of Theoretical Physics, University of Odessa, Odessa, Ukraine

    V. M. Adamyan

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

    I. Gohberg

  • Institute of Mathematics, National Academy of Sciences of Ukraine, Kyiv, Ukraine

    M. Gorbachuk, V. Gorbachuk

  • Department of Mathematics, Vrije Universiteit, HV Amsterdam, The Netherlands

    M. A. Kaashoek

  • Department of Mathematics, Technical University of Vienna, Vienna, Austria

    H. Langer

  • Institute of Mathematics, Economics and Mechanics, Odessa State University, Odessa, Ukraine

    G. Popov

Bibliographic Information

  • Book Title: Operator Theory and Related Topics

  • Book Subtitle: Proceedings of the Mark Krein International Conference on Operator Theory and Applications, Odessa, Ukraine, August 18–22, 1997 Volume II

  • Editors: V. M. Adamyan, I. Gohberg, M. Gorbachuk, V. Gorbachuk, M. A. Kaashoek, H. Langer, G. Popov

  • Series Title: Operator Theory: Advances and Applications

  • DOI: https://doi.org/10.1007/978-3-0348-8413-6

  • Publisher: Birkhäuser Basel

  • eBook Packages: Springer Book Archive

  • Copyright Information: Springer Basel AG 2000

  • Hardcover ISBN: 978-3-7643-6288-1Published: 01 March 2000

  • Softcover ISBN: 978-3-0348-9557-6Published: 24 October 2012

  • eBook ISBN: 978-3-0348-8413-6Published: 06 December 2012

  • Series ISSN: 0255-0156

  • Series E-ISSN: 2296-4878

  • Edition Number: 1

  • Number of Pages: XXIV, 419

  • Topics: Analysis

  • Industry Sectors: Energy, Utilities & Environment, Engineering, IT & Software

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