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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

  • V. M. Adamyan
  • I. Gohberg
  • M. Gorbachuk
  • V. Gorbachuk
  • M. A. Kaashoek
  • H. Langer
  • G. Popov
Conference proceedings

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

Table of contents

  1. Front Matter
    Pages i-xxiv
  2. Ramon Bruzual, Marisela Dominguez
    Pages 83-89
  3. Aad Dijksma, Heinz Langer, Yuri Shondin, Chris Zeinstra
    Pages 105-175
  4. Pavel Kurasov, Boris Pavlov
    Pages 225-254
  5. Slavik Rabanovich, Yuriĭ Samoĭlenko
    Pages 347-357
  6. Ion Suciu
    Pages 389-404
  7. Back Matter
    Pages 417-419

About these proceedings

Introduction

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.

Keywords

Operator theory Singular integral calculus differential equation differential operators distribution

Editors and affiliations

  • V. M. Adamyan
    • 1
  • I. Gohberg
    • 2
  • M. Gorbachuk
    • 3
  • V. Gorbachuk
    • 3
  • M. A. Kaashoek
    • 4
  • H. Langer
    • 5
  • G. Popov
    • 6
  1. 1.Department of Theoretical PhysicsUniversity of OdessaOdessaUkraine
  2. 2.Department of Mathematical Sciences Raymond and Beverly Sackler Faculty of Exact SciencesTel Aviv UniversityRamat AvivIsrael
  3. 3.Institute of MathematicsNational Academy of Sciences of UkraineKyivUkraine
  4. 4.Department of MathematicsVrije UniversiteitHV AmsterdamThe Netherlands
  5. 5.Department of MathematicsTechnical University of ViennaViennaAustria
  6. 6.Institute of Mathematics, Economics and MechanicsOdessa State UniversityOdessaUkraine

Bibliographic information