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Operator Algebras, Toeplitz Operators and Related Topics

  • Book
  • © 2020

Overview

Editors:
  1. Wolfram Bauer

    1. Institut für Analysis, Leibniz Universität Hannover, Hannover, Germany

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    You can also search for this editor in PubMed   Google Scholar

  2. Roland Duduchava

    1. A. Razmadze Mathematical Institute, Tbilisi, Georgia

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  3. Sergei Grudsky

    1. Departamento de Matematicas, CINVESTAV del I.P.N., Mexico, Mexico

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    You can also search for this editor in PubMed   Google Scholar

  4. Marinus A. Kaashoek

    1. Department of Mathematics, Vrije University, Amsterdam, The Netherlands

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  • Features a collection of up-to-date research papers that study various aspects of general operator algebra theory
  • Contains papers presented at the International Workshop on Operator Algebras, Toeplitz Operators, and Related Topics, in Boca del Rio, Veracruz, Mexico
  • Dedicated to Nikolai Vasilevski

Part of the book series: Operator Theory: Advances and Applications (OT, volume 279)

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Table of contents (26 chapters)

  1. Front Matter

    Pages i-xi
    Download chapter PDF

  2. Biographical Material

    1. Front Matter

      Pages 1-1
      Download chapter PDF

    2. The Life and Work of Nikolai Vasilevski

      • Sergei Grudsky, Yuri Latushkin, Michael Shapiro
      Pages 3-8

    3. Principal Publications of Nikolai Vasilevski

      • Sergei Grudsky, Yuri Latushkin, Michael Shapiro
      Pages 9-16

    4. Ph. D. Dissertations Directed by Nikolai Vasilevski

      • Sergei Grudsky, Yuri Latushkin, Michael Shapiro
      Pages 17-17

    5. The Mathematician Nikolai Vasilevski

      • Wolfram Bauer
      Pages 19-20

    6. The Mathematics of Nikolai Vasilevski

      • Raúl Quiroga-Barranco
      Pages 21-23

    7. Nikolai’s Spaces

      • Grigori Rozenblum
      Pages 25-26

  3. Papers

    1. Front Matter

      Pages 27-27
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    2. Non-geodesic Spherical Funk Transforms with One and Two Centers

      • M. Agranovsky, B. Rubin
      Pages 29-52

    3. Berger-Coburn Theorem, Localized Operators, and the Toeplitz Algebra

      • Wolfram Bauer, Robert Fulsche
      Pages 53-77

    4. Toeplitz Operators on the Domain \(\{Z\in M_{2\times 2}(\mathbb {C}) \mid Z Z^* < I\}\) with \(\mathrm {U}(2)\times \mathbb {T}^2\)-Invariant Symbols

      • Matthew Dawson, Gestur Ólafsson, Raul Quiroga-Barranco
      Pages 79-101

    5. Separately Radial Fock-Carleson Type Measures for Derivatives of Order k

      • Kevin Esmeral
      Pages 103-126

    6. Toeplitz Operators with \(\mathbb {T}_q^m\)-Invariant Symbols on Some Weakly Pseudoconvex Domains

      • Hernández-Marroquín Mauricio, Dupont-García LuisAlfredo, Sánchez-Nungaray Armando
      Pages 127-143

    7. The Twofold Ellis-Gohberg Inverse Problem for Rational Matrix Functions on the Real Line

      • S. ter Horst, M. A. Kaashoek, F. van Schagen
      Pages 145-173

    8. Fractional Integrodifferentiation and Toeplitz Operators with Vertical Symbols

      • Alexey Karapetyants, Issam Louhichi
      Pages 175-187

    9. Toeplitz Operators with Radial Symbols on Weighted Holomorphic Orlicz Space

      • Alexey Karapetyants, Jari Taskinen
      Pages 189-204

    10. Algebras of Singular Integral Operators with PQC Coefficients on Weighted Lebesgue Spaces

      • Yu. I. Karlovich
      Pages 205-231

    11. Twisted Dirac Operator on Quantum SU(2) in Disc Coordinates

      • Ulrich Krähmer, Elmar Wagner
      Pages 233-253

    12. Toeplitz Algebras on the Harmonic Fock Space

      • Maribel Loaiza, Carmen Lozano, Jesús Macías-Durán
      Pages 255-276
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Keywords

About this book

This book features a collection of up-to-date research papers that study various aspects of general operator algebra theory and concrete classes of operators, including a range of applications.

Most of the papers included were presented at the International Workshop on Operator Algebras, Toeplitz Operators, and Related Topics, in Boca del Rio, Veracruz, Mexico, in November 2018. The conference, which was attended by more than 30 leading experts in the field, was held in celebration of Nikolai Vasilevski’s 70th birthday, and the contributions are dedicated to him.

 


Editors and Affiliations

  • Institut für Analysis, Leibniz Universität Hannover, Hannover, Germany

    Wolfram Bauer

  • A. Razmadze Mathematical Institute, Tbilisi, Georgia

    Roland Duduchava

  • Departamento de Matematicas, CINVESTAV del I.P.N., Mexico, Mexico

    Sergei Grudsky

  • Department of Mathematics, Vrije University, Amsterdam, The Netherlands

    Marinus A. Kaashoek

Bibliographic Information

  • Book Title: Operator Algebras, Toeplitz Operators and Related Topics

  • Editors: Wolfram Bauer, Roland Duduchava, Sergei Grudsky, Marinus A. Kaashoek

  • Series Title: Operator Theory: Advances and Applications

  • DOI: https://doi.org/10.1007/978-3-030-44651-2

  • Publisher: Birkhäuser Cham

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

  • Copyright Information: Springer Nature Switzerland AG 2020

  • Hardcover ISBN: 978-3-030-44650-5Published: 02 September 2020

  • Softcover ISBN: 978-3-030-44653-6Published: 02 September 2021

  • eBook ISBN: 978-3-030-44651-2Published: 01 September 2020

  • Series ISSN: 0255-0156

  • Series E-ISSN: 2296-4878

  • Edition Number: 1

  • Number of Pages: XI, 467

  • Number of Illustrations: 6 b/w illustrations, 2 illustrations in colour

  • Topics: Operator Theory

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