Katō, Tosio 1917
Overview
Works:  46 works in 224 publications in 6 languages and 2,514 library holdings 

Genres:  Conference papers and proceedings 
Roles:  Author, Contributor, Honoree, Creator, Other 
Classifications:  QA329.2, 515.7246 
Publication Timeline
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Most widely held works about
Tosio Katō
 Tosio Kato's method and principle for evolution equations in mathematical physics( Book )
 Kato, Tosio : mathematics( )
 Tosio Kato (19171999) by Heinz Cordes( )
Most widely held works by
Tosio Katō
Perturbation theory for linear operators by
Tosio Katō(
Book
)
109 editions published between 1966 and 2016 in 5 languages and held by 1,431 WorldCat member libraries worldwide
109 editions published between 1966 and 2016 in 5 languages and held by 1,431 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 338 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 infinitedimensional spaces. In fact, many essential and. even advanced results in the theory have non trivial contents in finitedimensional 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
14 editions published between 1982 and 2011 in 3 languages and held by 338 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 infinitedimensional spaces. In fact, many essential and. even advanced results in the theory have non trivial contents in finitedimensional 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
Functionalanalytic methods for partial differential equations : proceedings of a conference and a symposium held in Tokyo,
July 39, 1989 by
Hiroshi Fujita(
Book
)
8 editions published in 1990 in English and held by 277 WorldCat member libraries worldwide
8 editions published in 1990 in English and held by 277 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
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 40 WorldCat member libraries worldwide
10 editions published between 1985 and 1988 in English and Italian and held by 40 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
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
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
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
Tosio Katō(
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 0semigroup 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)
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 0semigroup 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)
Ōyō sūgaku : Daigaku enshū by
Kōsaku Yoshida(
Book
)
3 editions published in 1961 in Japanese and held by 3 WorldCat member libraries worldwide
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
2 editions published in 1957 in Japanese and held by 3 WorldCat member libraries worldwide
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
1 edition published in 1964 in Chinese and held by 3 WorldCat member libraries worldwide
Differential equations and mathematical physics : proceedings of an international conference held in Birmingham, Alabama,
USA, March 38, 1986 by
Ian W Knowles(
Book
)
1 edition published in 1987 in English and held by 3 WorldCat member libraries worldwide
Annotation
1 edition published in 1987 in English and held by 3 WorldCat member libraries worldwide
Annotation
Henbunhō to sono ōyō(
Book
)
2 editions published in 1957 in Japanese and held by 2 WorldCat member libraries worldwide
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
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
1 edition published in 1969 in English and held by 2 WorldCat member libraries worldwide
Ryōshi rikigaku no sūgaku riron : setsudōron to genshi tō no hamirutonian by
Tosio Katō(
Book
)
2 editions published in 2017 in Japanese and held by 2 WorldCat member libraries worldwide
2 editions published in 2017 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
1 edition published in 2014 in English and held by 2 WorldCat member libraries worldwide
On the NavierStokes initial value problem by
Hiroshi Fujita(
Book
)
in English and held by 1 WorldCat member library worldwide
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
2 editions published in 1969 in English and held by 1 WorldCat member library worldwide
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Associated Subjects
Algebras, Linear American Mathematical Society Asymptotic expansions Calculus, Operational Calculus of operations Canada College teachers Differential equations Differential equations, Elliptic Differential equations, Partial Differential operators Evolution equations Forms, Quadratic Functional analysis Functional equations Generalized spaces Global analysis (Mathematics) Hilbert space Katō, Tosio, Linear operators Mathematical optimization Mathematical physics Mathematicians Mathematics Perturbation (Mathematics) Physicists Physics Scattering (Physics) Schrödinger operator Scientists United States Wave equation
Alternative Names
Katō 1917 Toshio
Kato, T.
Kato, T. 19171999
Katō, Toshio 1917
Katō, Toshio 19171999
Katō, Tosio
Kato, Tosio 19171999
Tosio Kato
Toŝio Kato japana matematikisto
Tosio Kato Japanese mathematician
Tosio Kato japanischer Mathematiker
Tosio Kato Japans wiskundige (19171999)
Tošio Kató japonský matematik
Tosio Kato matemático japonés
Tosio Kato mathématicien japonais
Като, Т..
Тосио Като японский математик
توشيو كاتو رياضياتي ياباني
カトウ, トシオ 19171999
加藤敏夫 1917
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