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  • © 2017

Large Truncated Toeplitz Matrices, Toeplitz Operators, and Related Topics

The Albrecht Böttcher Anniversary Volume

Birkhäuser
  • Presents a unique source of biographical data and personal encounters concerning Albrecht Böttcher

  • Describes the current state of the spectral theory of Toeplitz operators, asymptotic behaviour of structured matrices

  • Includes a wide range of applications

Part of the book series: Operator Theory: Advances and Applications (OT, volume 259)

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  • ISBN: 978-3-319-49182-0
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Softcover Book USD 179.99
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Table of contents (30 chapters)

  1. Front Matter

    Pages i-xxvi
  2. Essay on Albrecht Böttcher

    • Bernd Silbermann
    Pages 21-36
  3. Meeting Albrecht the Strong

    • Frank-Olme Speck
    Pages 37-39
  4. The Beginning (the Way I Remember it)

    • Ilya M. Spitkovsky
    Pages 41-46
  5. Echelon Type Canonical Forms in Upper Triangular Matrix Algebras

    • Harm Bart, Torsten Ehrhardt, Bernd Silbermann
    Pages 79-124
  6. Useful Bounds on the Extreme Eigenvalues and Vectors of Matrices for Harper’s Operators

    • Daniel Bump, Persi Diaconis, Angela Hicks, Laurent Miclo, Harold Widom
    Pages 235-265
  7. Fast Inversion of Centrosymmetric Toeplitz-plus-Hankel Bezoutians

    • Torsten Ehrhardt, Karla Rost
    Pages 267-300
  8. On Matrix-valued Stieltjes Functions with an Emphasis on Particular Subclasses

    • Bernd Fritzsche, Bernd Kirstein, Conrad Mädler
    Pages 301-352
  9. The Bézout Equation on the Right Half-plane in a Wiener Space Setting

    • G. J. Groenewald, S. ter Horst, M. A. Kaashoek
    Pages 395-411

About this book

This book presents a collection of expository and research papers on various topics in matrix and operator theory, contributed by several experts on the occasion of Albrecht Böttcher’s 60th birthday. Albrecht Böttcher himself has made substantial contributions to the subject in the past. The book also includes a biographical essay, a complete bibliography of Albrecht Böttcher’s work and brief informal notes on personal encounters with him.

The book is of interest to graduate and advanced undergraduate students majoring in mathematics, researchers in matrix and operator theory as well as engineers and applied mathematicians.

Keywords

  • Toeplitz matrix
  • Toeplitz operator
  • Wiener-Hopf operator
  • random matrices
  • singular integral operators
  • matrix theory

Editors and Affiliations

  • Dipartimento di Matematica, Università di Pisa, Pisa, Italy

    Dario A. Bini

  • Mathematics Department, University of California, Santa Cruz, USA

    Torsten Ehrhardt

  • Departamento de Matemática Faculdade de Ciências e Tecnologia, Universidade Nova de Lisboa, Caparica, Portugal

    Alexei Yu. Karlovich

  • New York University Abu Dhabi, Abu Dhabi, United Arab Emirates

    Ilya Spitkovsky

Bibliographic Information

  • Book Title: Large Truncated Toeplitz Matrices, Toeplitz Operators, and Related Topics

  • Book Subtitle: The Albrecht Böttcher Anniversary Volume

  • Editors: Dario A. Bini, Torsten Ehrhardt, Alexei Yu. Karlovich, Ilya Spitkovsky

  • Series Title: Operator Theory: Advances and Applications

  • DOI: https://doi.org/10.1007/978-3-319-49182-0

  • Publisher: Birkhäuser Cham

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

  • Copyright Information: Springer International Publishing AG, part of Springer Nature 2017

  • Hardcover ISBN: 978-3-319-49180-6

  • Softcover ISBN: 978-3-319-84097-0

  • eBook ISBN: 978-3-319-49182-0

  • Series ISSN: 0255-0156

  • Series E-ISSN: 2296-4878

  • Edition Number: 1

  • Number of Pages: XXVI, 740

  • Number of Illustrations: 31 b/w illustrations, 30 illustrations in colour

  • Topics: Linear Algebra, Operator Theory

Buying options

eBook USD 139.00
Price excludes VAT (USA)
  • ISBN: 978-3-319-49182-0
  • Instant PDF download
  • Readable on all devices
  • Own it forever
  • Exclusive offer for individuals only
  • Tax calculation will be finalised during checkout
Softcover Book USD 179.99
Price excludes VAT (USA)
Hardcover Book USD 179.99
Price excludes VAT (USA)
This title has not yet been released. You will be able to pre-order it soon.