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Recent Advances in Operator Theory and Its Applications

The Israel Gohberg Anniversary Volume

  • Conference proceedings
  • © 2005

Overview

Editors:
  1. Israel Gohberg

    1. School of Mathematical Sciences, Tel Aviv University, Ramat Aviv, Israel

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  2. D. Alpay

    1. Beer-Sheva

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  3. J. Arazy

    1. Haifa

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  4. A. Atzmon

    1. Tel Aviv

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  5. J. A. Ball

    1. Blacksburg

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  6. A. Ben-Artzi

    1. Tel Aviv

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  7. H. Bercovici

    1. Bloomington

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  8. A. Böttcher

    1. Chemnitz

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  9. K. Clancey

    1. Athens, USA

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  10. L. A. Coburn

    1. Buffalo

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  11. K. R. Davidson

    1. Waterloo

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  12. R. G. Douglas

    1. College Station

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  13. A. Dijksma

    1. Groningen

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  14. H. Dym

    1. Rehovot

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  15. P. A. Fuhrmann

    1. Beer-Sheva

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  16. B. Gramsch

    1. Mainz

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  17. G. Heinig

    1. Chemnitz

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  18. J. A. Helton

    1. La Jolla

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  19. M. A. Kaashoek

    1. Amsterdam

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  20. H. G. Kaper

    1. Argonne

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  21. S. T. Kuroda

    1. Tokyo

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  22. P. Lancaster

    1. Calgary

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  23. L. E. Lerer

    1. Haifa

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  24. B. Mityagin

    1. Columbus

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  25. V. V. Peller

    1. Manhattan

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  26. L. Rodman

    1. Williamsburg

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  27. J. Rovnyak

    1. Charlottesville

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  28. D. E. Sarason

    1. Berkeley

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  29. I. M. Spitkovsky

    1. Williamsburg

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  30. S. Treil

    1. Providence

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  31. H. Upmeier

    1. Marburg

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  32. S. M. Verduyn Lunel

    1. Leiden

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  33. D. Voiculescu

    1. Berkeley

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  34. H. Widom

    1. Santa Cruz

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  35. D. Xia

    1. Nashville

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  36. D. Yafaev

    1. Rennes

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  37. Marinus A. Kaashoek

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

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  38. Sebastiano Seatzu

    1. Dipartimento di Matematica, Università di Cagliari, Cagliari, Italy

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  39. Cornelis Mee

    1. Dipartimento di Matematica, Università di Cagliari, Cagliari, Italy

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  • Dedicated to Israel Gohberg, one of the founding fathers of the IWOTA workshops, on the occasion of this 75th birthday
  • Carefully refereed research papers
  • Wide spectrum of topics related to operator theory
  • Includes supplementary material: sn.pub/extras

Part of the book series: Operator Theory: Advances and Applications (OT, volume 160)

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Table of contents (24 papers)

  1. Front Matter

    Pages i-viii
    Download chapter PDF

  2. Inverse Scattering with Rational Scattering Coefficients and Wave Propagation in Nonhomogeneous Media

    • Tuncay Aktosun, Michael H. Borkowski, Alyssa J. Cramer, Lance C. Pittman
    Pages 1-20

  3. Aluthge Transforms and the Convex Hull of the Spectrum of a Hilbert Space Operator

    • Tsuyoshi Ando
    Pages 21-39

  4. Maximal Nevanlinna-Pick Interpolation for Points in the Open Unit Disc

    • W. Bhosri, A.E. Frazho, B. Yagci
    Pages 41-52

  5. On the Numerical Solution of a Nonlinear Integral Equation of Prandtl’s Type

    • M.R. Capobianco, G. Criscuolo, P. Junghanns
    Pages 53-79

  6. Fourier Integral Operators and Gelfand-Shilov Spaces

    • Marco Cappiello
    Pages 81-100

  7. Strongly Regular J-inner Matrix-valued Functions and Inverse Problems for Canonical Systems

    • Damir Z. Arov, Harry Dym
    Pages 101-160

  8. Regularization Processes for Real Functions and Ill-posed Toeplitz Problems

    • Claudio Estatico
    Pages 161-178

  9. Minimal State-space Realization for a Class of nD Systems

    • K. Galkowski
    Pages 179-194

  10. Continuity in Weighted Besov Spaces for Pseudodifferential Operators with Non-regular Symbols

    • Gianluca Garello, Alessandro Morando
    Pages 195-216

  11. A New Proof of an Ellis-Gohberg Theorem on Orthogonal Matrix Functions Related to the Nehari Problem

    • G.J. Groenewald, M.A. Kaashoek
    Pages 217-232

  12. Schur-type Algorithms for the Solution of Hermitian Toeplitz Systems via Factorization

    • Georg Heinig, Karla Rost
    Pages 233-252

  13. Almost Pontryagin Spaces

    • M. Kaltenbäck, H. Winkler, H. Woracek
    Pages 253-271

  14. Multivariable ρ-contractions

    • Dmitry S. Kalyuzhnyi-Verbovetzkii
    Pages 273-298

  15. The Singularly Continuous Spectrum and Non-Closed Invariant Subspaces

    • Vadim Kostrykin, Konstantin A. Makarov
    Pages 299-309

  16. Numerical Methods for Cauchy Singular Integral Equations in Spaces of Weighted Continuous Functions

    • G. Mastroianni, M.G. Russo, W. Themistoclakis
    Pages 311-336

  17. On a Gevrey-Nonsolvable Partial Differential Operator

    • Alessandro Oliaro
    Pages 337-356

  18. Optimal Prediction of Generalized Stationary Processes

    • Vadim Olshevsky, Lev Sakhnovich
    Pages 357-366

  19. Symmetries of 2D Discrete-Time Linear Systems

    • Paula Rocha, Paolo Vettori, Jan C. Willems
    Pages 367-382

  20. An Algorithm for Solving Toeplitz Systems by Embedding in Infinite Systems

    • G. Rodriguez, S. Seatzu, D. Theis
    Pages 383-401
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Keywords

About this book

Thisvolumecontainsaselectionofpapersinmodernoperatortheoryanditsapp- cations. Most of them are directly related to lectures presented at the Fourteenth International Workshop on Operator Theory and its Applications (IWOTA 2003) held at the University of Cagliari, Italy, in the period of June 24–27, 2003. The workshop, which was attended by 108 mathematicians – including a number of PhD and postdoctoral students – from 22 countries, presented eight special sessions on 1) control theory, 2) interpolation theory, 3) inverse scattering, 4) numerical estimates for operators, 5) numerical treatment of integral equations, 6) pseudodi?erential operators, 7) realizations and transformations of analytic functions and inde?nite inner product spaces, and 8) structured matrices. The program consisted of 19 plenary lectures of 45 minutes and 78 lectures of 30 minutes in four parallel sessions. The present volume re?ects the wide range and rich variety of topics p- sentedanddiscussedattheworkshop,bothwithinandoutsidethespecialsessions. The papers deal with inverse scattering, numerical ranges, pseudodi?erential - erators, numerical analysis, interpolation theory, multidimensional system theory, inde?nite inner products, spectral factorization, and stationary processes. SinceintheperiodthattheproceedingsofIWOTA2003werebeingprepared, Israel Gohberg, the president of the IWOTA steering committee, reached the age of 75, we decided to dedicate these proceedings to Israel Gohberg on the occasion of his 75th birthday. All of the authors of these proceedingshavejoined the editors and dedicated their papers to him as well.

Editors and Affiliations

  • School of Mathematical Sciences, Tel Aviv University, Ramat Aviv, Israel

    Israel Gohberg

  • Beer-Sheva

    D. Alpay, P. A. Fuhrmann

  • Haifa

    J. Arazy, L. E. Lerer

  • Tel Aviv

    A. Atzmon, A. Ben-Artzi

  • Blacksburg

    J. A. Ball

  • Bloomington

    H. Bercovici

  • Chemnitz

    A. Böttcher, G. Heinig

  • Athens, USA

    K. Clancey

  • Buffalo

    L. A. Coburn

  • Waterloo

    K. R. Davidson

  • College Station

    R. G. Douglas

  • Groningen

    A. Dijksma

  • Rehovot

    H. Dym

  • Mainz

    B. Gramsch

  • La Jolla

    J. A. Helton

  • Amsterdam

    M. A. Kaashoek

  • Argonne

    H. G. Kaper

  • Tokyo

    S. T. Kuroda

  • Calgary

    P. Lancaster

  • Columbus

    B. Mityagin

  • Manhattan

    V. V. Peller

  • Williamsburg

    L. Rodman, I. M. Spitkovsky

  • Charlottesville

    J. Rovnyak

  • Berkeley

    D. E. Sarason, D. Voiculescu

  • Providence

    S. Treil

  • Marburg

    H. Upmeier

  • Leiden

    S. M. Verduyn Lunel

  • Santa Cruz

    H. Widom

  • Nashville

    D. Xia

  • Rennes

    D. Yafaev

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

    Marinus A. Kaashoek

  • Dipartimento di Matematica, Università di Cagliari, Cagliari, Italy

    Sebastiano Seatzu, Cornelis Mee

Bibliographic Information

  • Book Title: Recent Advances in Operator Theory and Its Applications

  • Book Subtitle: The Israel Gohberg Anniversary Volume

  • Editors: Israel Gohberg, D. Alpay, J. Arazy, A. Atzmon, J. A. Ball, A. Ben-Artzi, H. Bercovici, A. Böttcher, K. Clancey, L. A. Coburn, K. R. Davidson, R. G. Douglas, A. Dijksma, H. Dym, P. A. Fuhrmann, B. Gramsch, G. Heinig, J. A. Helton, M. A. Kaashoek, H. G. Kaper, S. T. Kuroda, P. Lancaster, L. E. Lerer, B. Mityagin, V. V. Peller, L. Rodman, J. Rovnyak, D. E. Sarason, I. M. Spitkovsky, S. Treil, H. Upmeier, S. M. Verduyn Lunel, D. Voiculescu, H. Widom, D. Xia, D. Yafaev, Marinus A. Kaashoek, Sebastiano Seatzu, … Cornelis Mee

  • Series Title: Operator Theory: Advances and Applications

  • DOI: https://doi.org/10.1007/3-7643-7398-9

  • Publisher: Birkhäuser Basel

  • eBook Packages: Mathematics and Statistics, Mathematics and Statistics (R0)

  • Copyright Information: Birkhäuser Basel 2005

  • Hardcover ISBN: 978-3-7643-7290-3Published: 16 September 2005

  • eBook ISBN: 978-3-7643-7398-6Published: 17 January 2006

  • Series ISSN: 0255-0156

  • Series E-ISSN: 2296-4878

  • Edition Number: 1

  • Number of Pages: VIII, 478

  • Topics: Analysis, Operator Theory, Functional Analysis, Fourier Analysis, Numerical Analysis, Approximations and Expansions

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