Editors:
- 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)
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Front Matter
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.
Keywords
- linear and non-linear analysis
- operator theory
- partial differential equations
- functional analysis
- non-linear evolution equations
- Korteweg-de Vries equation
- Navier-Stokes equation
- Tosio Kato
- Stochastic Independence
- Kato’s Inequality
- Kato’s Unpublished Paper
- Friedmann Equation
- Magnetic Schrodinger Operator
- Complex Electric Potential
- Howland - Kato Commutator Problem
- Nelson Model with Kato-class Potentials
- Linear Evolution Equations on Hilbert Spaces
- Non-Relativistic Quantum Mechanics
- perturbed differential and boundary operators
- non-relativistic Quantum Mechanics
Editors and Affiliations
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National Technical University of Athens, Athens, Greece
Themistocles M. Rassias
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Institute of Mathematics, Aix-Marseille University, Marseille, France
Valentin A. Zagrebnov
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