Analysis and Operator Theory

Dedicated in Memory of Tosio Kato’s 100th Birthday

  • Themistocles M. Rassias
  • Valentin A. Zagrebnov

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

Table of contents

  1. Front Matter
    Pages i-x
  2. Luigi Accardi, Yun-Gang Lu
    Pages 1-33
  3. W. Arendt, A. F. M. ter Elst
    Pages 47-60
  4. Claude Bardos, Hisashi Okamoto
    Pages 61-64
  5. Pavel Exner, Sylwia Kondej
    Pages 81-91
  6. Ira Herbst, Thomas L. Kriete
    Pages 191-223
  7. Hagen Neidhardt, Artur Stephan, Valentin A. Zagrebnov
    Pages 271-299
  8. Valentin A. Zagrebnov
    Pages 395-416

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.


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equations Korteweg-de Vries equation Navier-Stokes equation Tosio Kato Stochastic Independence Kato’s Inequality Kato’s Unpublished Paper Friedmann Equation Magnetic Schrodinger Operator Complex Electric Potential Howland - Kato Commutator Problem Nelson Model with Kato-class Potentials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

  • Themistocles M. Rassias
    • 1
  • Valentin A. Zagrebnov
    • 2
  1. 1.National Technical University of AthensAthensGreece
  2. 2.Institute of MathematicsAix-Marseille UniversityMarseilleFrance

Bibliographic information