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Birkhäuser

The Diversity and Beauty of Applied Operator Theory

  • Conference proceedings
  • © 2018

Overview

Editors:
  1. Albrecht Böttcher

    1. Fakultät für Mathematik, TU Chemnitz, Chemnitz, Germany

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  2. Daniel Potts

    1. Fakultät für Mathematik, TU Chemnitz, Chemnitz, Germany

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  3. Peter Stollmann

    1. Fakultät für Mathematik, TU Chemnitz, Chemnitz, Germany

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  4. David Wenzel

    1. Fakultät für Mathematik, TU Chemnitz, Chemnitz, Germany

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  • Presents the "best-of" IWOTA 2017
  • Addresses not only specialists in operator theory but also researchers in fields of applications

Part of the book series: Operator Theory: Advances and Applications (OT, volume 268)

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Table of contents (29 papers)

  1. Front Matter

    Pages i-xv
    Download chapter PDF

  2. Standard versus strict Bounded Real Lemma with infinite-dimensional state space II: The storage function approach

    • J. A. Ball, G. J. Groenewald, S. ter Horst
    Pages 1-50

  3. Eigenvalues of even very nice Toeplitz matrices can be unexpectedly erratic

    • Mauricio Barrera, Albrecht Böttcher, Sergei M. Grudsky, Egor A. Maximenko
    Pages 51-77

  4. Spectral regularity of a C*-algebra generated by two-dimensional singular integral operators

    • Harm Bart, Torsten Ehrhardt, Bernd Silbermann
    Pages 79-88

  5. A spectral shift function for Schröodinger operators with singular interactions

    • Jussi Behrndt, Fritz Gesztesy, Shu Nakamura
    Pages 89-110

  6. Quantum graph with the Dirac operator and resonance states completeness

    • Irina V. Blinova, Igor Y. Popov
    Pages 111-124

  7. Robert Sheckley’s Answerer for two orthogonal projections

    • Albrecht Böttcher, Ilya M. Spitkovsky
    Pages 125-138

  8. Toeplitz kernels and model spaces

    • M. Cristina Câamara, Jonathan R. Partington
    Pages 139-153

  9. Frames, operator representations, and open problems

    • Ole Christensen, Marzieh Hasannasab
    Pages 155-165

  10. A survey on solvable sesquilinear forms

    • Rosario Corso
    Pages 167-177

  11. An application of limiting interpolation to Fourier series theory

    • Leo R. Ya. Doktorski
    Pages 179-191

  12. Isomorphisms of AC(σ) spaces for countable sets

    • Ian Doust, Shaymaa Al-shakarchi
    Pages 193-206

  13. Restricted inversion of split-Bezoutians

    • Torsten Ehrhardt, Karla Rost
    Pages 207-246

  14. Generalized backward shift operators on the ring ℤ[[x]], Cramer’s rule for infinite linear systems, and p-adic integers

    • Sergey Gefter, Anna Goncharuk
    Pages 247-259

  15. Feynman path integral regularization using Fourier Integral Operator ζ-functions

    • Tobias Hartung
    Pages 261-289

  16. Improving Monte Carlo integration by symmetrization

    • Tobias Hartung, Karl Jansen, Hernan Leövey, Julia Volmer
    Pages 291-317

  17. More on the density of analytic polynomials in abstract Hardy spaces

    • Alexei Karlovich, Eugene Shargorodsky
    Pages 319-329

  18. Pseudodifferential operators with compound non-regular symbols

    • Yuri I. Karlovich
    Pages 331-353

  19. Asymptotically sharp inequalities for polynomials involving mixed Hermite norms

    • Holger Langenau
    Pages 355-366

  20. A two-parameter eigenvalue problem for a class of block-operator matrices

    • Michael Levitin, Hasen Mekki Öztürk
    Pages 367-380
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Keywords

About this book

This book presents 29 invited articles written by participants of the International Workshop on Operator Theory and its Applications held in Chemnitz in 2017. The contributions include both expository essays and original research papers illustrating the diversity and beauty of insights gained by applying operator theory to concrete problems. The topics range from control theory, frame theory, Toeplitz and singular integral operators,  Schrödinger, Dirac, and Kortweg-de Vries operators,  Fourier integral operator zeta-functions, C*-algebras and Hilbert C*-modules to questions from harmonic analysis, Monte Carlo integration, Fibonacci Hamiltonians, and many more.

The book offers researchers in operator theory open problems from applications that might stimulate their work and shows those from various applied fields, such as physics, engineering, or numerical mathematics how to use the potential of operator theory to tackle interesting practical problems.

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Editors and Affiliations

  • Fakultät für Mathematik, TU Chemnitz, Chemnitz, Germany

    Albrecht Böttcher, Daniel Potts, Peter Stollmann, David Wenzel

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