Skip to main content
SpringerLink
Log in
Birkhäuser
Book cover

Large Truncated Toeplitz Matrices, Toeplitz Operators, and Related Topics

The Albrecht Böttcher Anniversary Volume

  • Book
  • © 2017

Overview

Editors:
  1. Dario A. Bini

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

    View editor publications

    You can also search for this editor in PubMed   Google Scholar

  2. Torsten Ehrhardt

    1. Mathematics Department, University of California, Santa Cruz, USA

    View editor publications

    You can also search for this editor in PubMed   Google Scholar

  3. Alexei Yu. Karlovich

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

    View editor publications

    You can also search for this editor in PubMed   Google Scholar

  4. Ilya Spitkovsky

    1. New York University Abu Dhabi, Abu Dhabi, United Arab Emirates

    View editor publications

    You can also search for this editor in PubMed   Google Scholar

  • 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)

This is a preview of subscription content, log in via an institution to check access.

Access this book

Log in via an institution
eBook USD 129.00
Price excludes VAT (USA)
  • Available as PDF
  • Read on any device
  • Instant download
  • Own it forever
Softcover Book USD 169.99
Price excludes VAT (USA)
  • Compact, lightweight edition
  • Dispatched in 3 to 5 business days
  • Free shipping worldwide - see info
Hardcover Book USD 169.99
Price excludes VAT (USA)
This title has not yet been released. You may pre-order it now and we will ship your order when it is published on 20 Apr 2017.
  • Durable hardcover edition
  • Free shipping worldwide - see info

Tax calculation will be finalised at checkout

Other ways to access

Licence this eBook for your library

Institutional subscriptions

Table of contents (30 chapters)

  1. Front Matter

    Pages i-xxvi
    Download chapter PDF

  2. Albrecht Böttcher – 20 Years of Friendship and Joint Work

    • Sergei Grudsky
    Pages 1-18

  3. Salutatory with Regards from the Mathematics Students of Chemnitz

    • Jonas Jahns
    Pages 19-20

  4. Essay on Albrecht Böttcher

    • Bernd Silbermann
    Pages 21-36

  5. Meeting Albrecht the Strong

    • Frank-Olme Speck
    Pages 37-39

  6. The Beginning (the Way I Remember it)

    • Ilya M. Spitkovsky
    Pages 41-46

  7. Personal Address on the Occasion of Albrecht Böttcher’s 60th Birthday

    • David Wenzel
    Pages 47-49

  8. Asymptotics of Eigenvalues for Pentadiagonal Symmetric Toeplitz Matrices

    • M. Barrera, S. M. Grudsky
    Pages 51-77

  9. Echelon Type Canonical Forms in Upper Triangular Matrix Algebras

    • Harm Bart, Torsten Ehrhardt, Bernd Silbermann
    Pages 79-124

  10. Asymptotic Formulas for Determinants of a Special Class of Toeplitz + Hankel Matrices

    • Estelle Basor, Torsten Ehrhardt
    Pages 125-154

  11. Generalization of the Brauer Theorem to Matrix Polynomials and Matrix Laurent Series

    • D. A. Bini, B. Meini
    Pages 155-178

  12. Eigenvalues of Hermitian Toeplitz Matrices Generated by Simple-loop Symbols with Relaxed Smoothness

    • J. M. Bogoya, S. M. Grudsky, E. A. Maximenko
    Pages 179-212

  13. On the Asymptotic Behavior of a Log Gas in the Bulk Scaling Limit in the Presence of a Varying External Potential II

    • Thomas Bothner, Percy Deift, Alexander Its, Igor Krasovsky
    Pages 213-234

  14. 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

  15. Fast Inversion of Centrosymmetric Toeplitz-plus-Hankel Bezoutians

    • Torsten Ehrhardt, Karla Rost
    Pages 267-300

  16. On Matrix-valued Stieltjes Functions with an Emphasis on Particular Subclasses

    • Bernd Fritzsche, Bernd Kirstein, Conrad Mädler
    Pages 301-352

  17. The Theory of Generalized Locally Toeplitz Sequences: a Review, an Extension, and a Few Representative Applications

    • Carlo Garoni, Stefano Serra-Capizzano
    Pages 353-394

  18. 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

  19. On a Collocation-quadrature Method for the Singular Integral Equation of the Notched Half-plane Problem

    • Peter Junghanns, Robert Kaiser
    Pages 413-462

  20. The Haseman Boundary Value Problem with Slowly Oscillating Coefficients and Shifts

    • Yu. I. Karlovich
    Pages 463-500
Back to top

Keywords

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.

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: 978-3-319-49180-6Published: 29 March 2017

  • Softcover ISBN: 978-3-319-84097-0Published: 20 July 2018

  • eBook ISBN: 978-3-319-49182-0Published: 21 March 2017

  • 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 and Multilinear Algebras, Matrix Theory, Operator Theory

Publish with us

Policies and ethics

Back to top

Search

Navigation