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Analysis and Operator Theory

Dedicated in Memory of Tosio Kato’s 100th Birthday

  • Book
  • © 2019

Overview

Editors:
  1. Themistocles M. Rassias

    1. National Technical University of Athens, Athens, Greece

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  2. Valentin A. Zagrebnov

    1. Institute of Mathematics, Aix-Marseille University, Marseille, France

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    You can also search for this editor in PubMed   Google Scholar

  • Presents methods, theories and problems in mathematics and mathematical physics
  • Broadens understanding of interdisciplinary research in analysis and operator theory
  • Highlights Tosio Kato's impact to analysis and operator theory

Part of the book series: Springer Optimization and Its Applications (SOIA, volume 146)

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Table of contents (18 chapters)

  1. Front Matter

    Pages i-x
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  2. Complementarity and Stochastic Independence

    • Luigi Accardi, Yun-Gang Lu
    Pages 1-33

  3. Norm Conditions for Separability in \({\mathbb M}_m\otimes {\mathbb M}_n\)

    • Tsuyoshi Ando
    Pages 35-45

  4. Kato’s Inequality

    • W. Arendt, A. F. M. ter Elst
    Pages 47-60

  5. Tosio Kato’s Unpublished Paper

    • Claude Bardos, Hisashi Okamoto
    Pages 61-64

  6. On the Border Lines Between the Regions of Distinct Solution Type for Solutions of the Friedmann Equation

    • Hellmut Baumgärtel
    Pages 65-80

  7. Scattering on Leaky Wires in Dimension Three

    • Pavel Exner, Sylwia Kondej
    Pages 81-91

  8. Computing Traces, Determinants, and \(\zeta \)-Functions for Sturm–Liouville Operators: A Survey

    • Fritz Gesztesy, Klaus Kirsten
    Pages 93-148

  9. On the Domain of a Magnetic Schrödinger Operator with Complex Electric Potential

    • Bernard Helffer, Jean Nourrigat
    Pages 149-165

  10. Matrix Limit Theorems of Kato Type Related to Positive Linear Maps and Operator Means

    • Fumio Hiai
    Pages 167-189

  11. The Howland–Kato Commutator Problem

    • Ira Herbst, Thomas L. Kriete
    Pages 191-223

  12. Pointwise Exponential Decay of Bound States of the Nelson Model With Kato-Class Potentials

    • Fumio Hiroshima
    Pages 225-250

  13. Regular KMS States of Weakly Coupled Anharmonic Crystals and the Resolvent CCR Algebra

    • Tomohiro Kanda, Taku Matsui
    Pages 251-270

  14. Trotter Product Formula and Linear Evolution Equations on Hilbert Spaces

    • Hagen Neidhardt, Artur Stephan, Valentin A. Zagrebnov
    Pages 271-299

  15. Exact Solutions to Problems with Perturbed Differential and Boundary Operators

    • I. N. Parasidis, E. Providas
    Pages 301-317

  16. On a Few Equivalent Statements of a Hilbert-Type Integral Inequality in the Whole Plane with the Hurwitz Zeta Function

    • Themistocles M. Rassias, Bicheng Yang
    Pages 319-352

  17. Tosio Kato’s Work on Non-relativistic Quantum Mechanics: A Brief Report

    • Barry Simon
    Pages 353-378

  18. The Factor Type of Conservative KMS-Weights on Graph \(C^*\)-Algebras

    • Klaus Thomsen
    Pages 379-394

  19. Trotter–Kato Product Formulae in Dixmier Ideal

    • Valentin A. Zagrebnov
    Pages 395-416
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Keywords

About this book

Dedicated to Tosio Kato’s 100th birthday, this book contains research and survey papers on a broad spectrum of methods, theories, and problems in mathematics and mathematical physics. Survey papers and in-depth technical papers emphasize linear and nonlinear analysis, operator theory, partial differential equations, and functional analysis including nonlinear evolution equations, the Korteweg–de Vries equation, the Navier–Stokes equation, and perturbation theory of linear operators. The Kato inequality, the Kato type matrix limit theorem, the Howland–Kato commutator problem, the Kato-class of potentials, and the Trotter–Kato product formulae are discussed and analyzed.  Graduate students, research mathematicians, and applied scientists will find that this book provides comprehensive insight into the significance of Tosio Kato’s impact to research in analysis and operator theory.  

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Editors and Affiliations

  • National Technical University of Athens, Athens, Greece

    Themistocles M. Rassias

  • Institute of Mathematics, Aix-Marseille University, Marseille, France

    Valentin A. Zagrebnov

About the editors

  

Bibliographic Information

  • Book Title: Analysis and Operator Theory

  • Book Subtitle: Dedicated in Memory of Tosio Kato’s 100th Birthday

  • Editors: Themistocles M. Rassias, Valentin A. Zagrebnov

  • Series Title: Springer Optimization and Its Applications

  • DOI: https://doi.org/10.1007/978-3-030-12661-2

  • Publisher: Springer Cham

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

  • Copyright Information: Springer Nature Switzerland AG 2019

  • Hardcover ISBN: 978-3-030-12660-5Published: 12 June 2019

  • Softcover ISBN: 978-3-030-12663-6Published: 03 September 2020

  • eBook ISBN: 978-3-030-12661-2Published: 31 May 2019

  • Series ISSN: 1931-6828

  • Series E-ISSN: 1931-6836

  • Edition Number: 1

  • Number of Pages: X, 416

  • Number of Illustrations: 11 b/w illustrations, 3 illustrations in colour

  • Topics: Operator Theory, Functional Analysis, Difference and Functional Equations

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