WorldCat Identities

Katō, Tosio 1917-

Overview
Works: 45 works in 220 publications in 6 languages and 2,508 library holdings
Genres: Conference papers and proceedings 
Roles: Author, Contributor, Honoree, Other, Creator
Classifications: QA329.2, 515.7246
Publication Timeline
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Most widely held works by Tosio Katō
Perturbation theory for linear operators by Tosio Katō( Book )

107 editions published between 1966 and 2016 in 5 languages and held by 1,436 WorldCat member libraries worldwide

A short introduction to perturbation theory for linear operators by Tosio Katō( Book )

14 editions published between 1982 and 2011 in 3 languages and held by 336 WorldCat member libraries worldwide

This book is a slightly expanded reproduction of the first two chapters (plus Introduction) of my book Perturbation Theory tor Linear Operators, Grundlehren der mathematischen Wissenschaften 132, Springer 1980. Ever since, or even before, the publication of the latter, there have been suggestions about separating the first two chapters into a single volume. I have now agreed to follow the suggestions, hoping that it will make the book available to a wider audience. Those two chapters were intended from the outset to be a comprehen sive presentation of those parts of perturbation theory that can be treated without the topological complications of infinite-dimensional spaces. In fact, many essential and. even advanced results in the theory have non trivial contents in finite-dimensional spaces, although one should not forget that some parts of the theory, such as those pertaining to scatter ing. are peculiar to infinite dimensions. I hope that this book may also be used as an introduction to linear algebra. I believe that the analytic approach based on a systematic use of complex functions, by way of the resolvent theory, must have a strong appeal to students of analysis or applied mathematics, who are usually familiar with such analytic tools
Functional-analytic methods for partial differential equations : proceedings of a conference and a symposium held in Tokyo, July 3-9, 1989 by T Ikebe( Book )

8 editions published in 1990 in English and held by 278 WorldCat member libraries worldwide

Quadratic forms in Hilbert spaces and asymptotic perturbation series by Tosio Katō( Book )

11 editions published between 1955 and 1958 in English and Italian and held by 49 WorldCat member libraries worldwide

Abstract differential equations and nonlinear mixed problems by Tosio Katō( Book )

10 editions published between 1985 and 1988 in English and Italian and held by 39 WorldCat member libraries worldwide

Notes on projections and perturbation theory by Tosio Katō( Book )

4 editions published in 1955 in English and held by 9 WorldCat member libraries worldwide

Isō kaiseki : Riron to ōyō eno nyūmon( Book )

4 editions published between 1967 and 2001 in Japanese and held by 6 WorldCat member libraries worldwide

Remarks on the Schrödinger operator with singular complex potentials by H Brézis( Book )

4 editions published in 1978 in English and held by 5 WorldCat member libraries worldwide

Schroedinger operators of the form A = delta + V(x), where delta is the Laplacian and V is a scalar potential, arise in quantum mechanics and other areas. Delicate questions concerning what domain should be assigned to A must be settled in order to have a good theory. These questions are answered here for a very general class of potentials V which may even have complex values
A Spectral Mapping Theorem for the Exponential Function, and Some Counterexamples by University of Wisconsin--Madison( Book )

3 editions published in 1982 in English and held by 3 WorldCat member libraries worldwide

Elementary proofs are given for the (known) theorems that (1) each point of superscript sigma(A) belongs to superscript sigma (e superscript A) if A is the generator of a C sub 0-semigroup E superscript tA) of linear operators on a Banach space x, and that (2) e superscript sigma(A) equal Sigma (e superscript A)/(0) if e superscript tA is a holomorphic semigroup. Also a large class of strongly continous groups e superscript tA on a Hilbert space H is given such that Sigma (A) is empty. Note that Sigma (e superscript A) is not empty, and is away from zero, if e superscript tA is a group. Some related remarks are given on the relationship between the spectral bound of A and the type of e superscript tA. (Author)
Differential equations and mathematical physics : proceedings of an international conference held in Birmingham, Alabama, USA, March 3-8, 1986 by Ian W Knowles( Book )

1 edition published in 1987 in English and held by 3 WorldCat member libraries worldwide

Annotation
Wei fen fang cheng di jin si jie fa by Tosio Katō( Book )

1 edition published in 1964 in Chinese and held by 3 WorldCat member libraries worldwide

Ōyō sūgaku : Daigaku enshū by Kōsaku Yoshida( Book )

3 editions published in 1961 in Japanese and held by 3 WorldCat member libraries worldwide

Kansū kūkanron( Book )

2 editions published in 1957 in Japanese and held by 3 WorldCat member libraries worldwide

Henbunhō to sono ōyō( Book )

2 editions published in 1957 in Japanese and held by 2 WorldCat member libraries worldwide

WAVE OPERATORS AND UNITARY EQUIVALENCE by Tosio Katō( Book )

4 editions published in 1963 in English and held by 2 WorldCat member libraries worldwide

Single channel scattering; series of 4 lectures given at the Courant Institute of Mathematical Sciences by Tosio Katō( Book )

1 edition published in 1969 in English and held by 2 WorldCat member libraries worldwide

Bibun hōteishiki no kinji kaihō( Book )

in Japanese and held by 2 WorldCat member libraries worldwide

Contributions to functional analysis by Mathematische Annalen( Book )

1 edition published in 2014 in English and held by 2 WorldCat member libraries worldwide

On the Navier-Stokes initial value problem by Hiroshi Fujita( Book )

in English and held by 1 WorldCat member library worldwide

The abstract theory of scattering by Tosio Katō( Book )

2 editions published in 1969 in English and held by 1 WorldCat member library worldwide

 
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Perturbation theory for linear operators
Alternative Names
Katō 1917- Toshio

Kato, T.

Kato, T. 1917-1999

Katō, Toshio 1917-

Katō, Toshio 1917-1999

Katō, Tosio

Kato, Tosio 1917-1999

Tosio Kato

Tosio Kato Japanese mathematician

Tosio Kato japanischer Mathematiker

Tosio Kato Japans wiskundige (1917-1999)

Tosio Kato matemático japonés

Tosio Kato mathématicien japonais

Като, Т..

Тосио Като японский математик

カトウ, トシオ 1917-1999

加藤敏夫 1917-

Languages
Covers
Functional-analytic methods for partial differential equations : proceedings of a conference and a symposium held in Tokyo, July 3-9, 1989Abstract differential equations and nonlinear mixed problemsDifferential equations and mathematical physics : proceedings of an international conference held in Birmingham, Alabama, USA, March 3-8, 1986