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Recent Advances in Operator Theory

The Israel Gohberg Anniversary Volume International Workshop in Groningen, June 1998

  • Conference proceedings
  • © 2001

Overview

Editors:
  1. A. Dijksma

    1. Department of Mathematics, University of Groningen, Groningen, The Netherlands

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  2. M. A. Kaashoek

    1. Division of Mathematics and Computer Science Faculty of Sciences, Vrije Universiteit, Amsterdam, The Netherlands

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    You can also search for this editor in PubMed   Google Scholar

  3. A. C. M. Ran

    1. Division of Mathematics and Computer Science Faculty of Sciences, Vrije Universiteit, Amsterdam, The Netherlands

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Part of the book series: Operator Theory: Advances and Applications (OT, volume 124)

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Table of contents (25 papers)

  1. Front Matter

    Pages i-lvii
    Download chapter PDF

  2. On the Spectral Theory of Degenerate Quadratic Operator Pencils

    • Vadim Adamyan, Reinhard Mennicken, Vjacheslav Pivovarchik
    Pages 1-19

  3. Two-sided Tangential Interpolation for Hilbert-Schmidt Operator Functions on Polydisks

    • Daniel Alpay, Vladimir Bolotnikov, Leiba Rodman
    Pages 21-62

  4. Nonstationary Analogs of the Herglotz Representation Theorem: Realizations Centered at an Arbitrary Point

    • D. Alpay, A. Dijksma, Y. Peretz
    Pages 63-87

  5. Characteristic Functions of Maximal Sectorial Operators

    • Yury Arlinskii
    Pages 89-108

  6. Similarity between Kreĭn Space Bicontractions and Hilbert Space Contractions

    • T. Ya. Azizov, A. I. Barsukov, A. Dijksma, P. Jonas
    Pages 109-129

  7. Classification of Cyclic Invariant Subspaces of Jordan Operators

    • Hari Bercovici, Thomas Smotzer
    Pages 131-143

  8. Elliptic Spectral Problems of Higher Order with Eigenparameter Dependent Boundary Conditions

    • Paul Binding, Rostyslav Hryniv
    Pages 145-153

  9. About Scattering on the Ring

    • V. B. Bogevolnov, A. B. Mikhailova, B. S. Pavlov, A. M. Yafyasov
    Pages 155-173

  10. Dilation of Generalized Toeplitz Kernels on Lexicographic Γ × ℝ

    • Ramón Bruzual, Marisela Domínguez
    Pages 175-187

  11. On Riccati Equations and Reproducing Kernel Spaces

    • Harry Dym
    Pages 189-215

  12. A Status Report on the Asymptotic Behavior of Toeplitz Determinants with Fisher-Hartwig Singularities

    • Torsten Ehrhardt
    Pages 217-241

  13. On the Spectrum of Unbounded Off-diagonal 2 × 2 Operator Matrices in Banach Spaces

    • Volker Hardt, Reinhard Mennicken
    Pages 243-266

  14. Multithreshold Spectral Phase Transitions for a Class of Jacobi Matrices

    • J. Janas, S. Naboko
    Pages 267-285

  15. Positive Extensions and Diagonally Connected Patterns

    • M. A. Kaashoek, H. J. Woerdeman
    Pages 287-305

  16. Parametrized Furuta Inequality and its Application

    • Eizaburo Kamei
    Pages 307-317

  17. J-Symmetric Factorizations and Algebraic Riccati Equations

    • I. Karelin, L. Lerer, A. C. M. Ran
    Pages 319-360

  18. Scattering of Waves by Periodic Gratings and Factorization Problems

    • A. G. Kostyuchenko, A. A. Shkalikov
    Pages 361-383

  19. Corners of Numerical Ranges

    • Heinz Langer, Alexander Markus, Christiane Tretter
    Pages 385-400

  20. On Some Classes of Extensions of Sectorial Operators and Dual Pairs of Contractions

    • M. M. Malamud
    Pages 401-449
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Keywords

About this book

This volume contains a selection of papers in modern operator theory and its applications. Most of them are directly related to lectures presented at the Inter­ national Workshop on Operator Theory and its Applications held at the University of Groningen (IWOTA-98) in Groningen, the Netherlands, from June 30-July 3, 1998. The workshop was attended by 97 mathematicians-of which 12 were PhD or postdoctoral students-from 19 countries. The program consisted of 19 plenary lectures of 40 minutes and 72 lectures of 30 minutes in 4 parallell sessions. The present volume reflects the wide range and rich variety of topics presented and discussed at the workshop. The papers deal with operator polynomials and analytic operator functions, with spectral problems of (partial) differential oper­ ators and related operator matrices, with interpolation, completion and extension problems, with commutant lifting and dilation, with Ricatti equations and real­ ization problems, with scattering theory, with problems from harmonic analysis, and with topics in the theory of reproducing kernel spaces and of spaces with an indefinite metric. All papers underwent the usual refereeing process.

Editors and Affiliations

  • Department of Mathematics, University of Groningen, Groningen, The Netherlands

    A. Dijksma

  • Division of Mathematics and Computer Science Faculty of Sciences, Vrije Universiteit, Amsterdam, The Netherlands

    M. A. Kaashoek, A. C. M. Ran

Bibliographic Information

  • Book Title: Recent Advances in Operator Theory

  • Book Subtitle: The Israel Gohberg Anniversary Volume International Workshop in Groningen, June 1998

  • Editors: A. Dijksma, M. A. Kaashoek, A. C. M. Ran

  • Series Title: Operator Theory: Advances and Applications

  • DOI: https://doi.org/10.1007/978-3-0348-8323-8

  • Publisher: Birkhäuser Basel

  • eBook Packages: Springer Book Archive

  • Copyright Information: Birkhäuser Verlag 2001

  • Hardcover ISBN: 978-3-7643-6573-8Published: 01 June 2001

  • Softcover ISBN: 978-3-0348-9516-3Published: 23 October 2012

  • eBook ISBN: 978-3-0348-8323-8Published: 06 December 2012

  • Series ISSN: 0255-0156

  • Series E-ISSN: 2296-4878

  • Edition Number: 1

  • Number of Pages: LVII, 558

  • Topics: Analysis

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