Kutateladze, S. S. (Semen Samsonovich)
Overview
Works:  106 works in 302 publications in 3 languages and 2,056 library holdings 

Genres:  Conference papers and proceedings 
Roles:  Author, Editor, Other, Author of introduction, Honoree 
Classifications:  QA299.82, 515 
Publication Timeline
.
Most widely held works by
S. S Kutateladze
Second International Conference on Algebra : dedicated to the memory of A.I. Shirshov : proceedings of the second International
Conference on Algebra, August 2025, 1991, Barnaul, Russua by International Conference on Algebra(
Book
)
12 editions published in 1995 in English and held by 191 WorldCat member libraries worldwide
12 editions published in 1995 in English and held by 191 WorldCat member libraries worldwide
Nonstandard methods of analysis by
Anatoly G Kusraev(
Book
)
21 editions published between 1990 and 2012 in 3 languages and held by 160 WorldCat member libraries worldwide
Nonstandard Methods of Analysis is concerned with the main trends in this field; infinitesimal analysis and Booleanvalued analysis. The methods that have been developed in the last twentyfive years are explained in detail, and are collected in book form for the first time. Special attention is paid to general principles and fundamentals of formalisms for infinitesimals as well as to the technique of descents and ascents in a Booleanvalued universe. The book also includes various novel applications of nonstandard methods to ordered algebraic systems, vector lattices, subdifferentials, convex programming etc. that have been developed in recent years. For graduate students, postgraduates and all researchers interested in applying nonstandard methods in their work
21 editions published between 1990 and 2012 in 3 languages and held by 160 WorldCat member libraries worldwide
Nonstandard Methods of Analysis is concerned with the main trends in this field; infinitesimal analysis and Booleanvalued analysis. The methods that have been developed in the last twentyfive years are explained in detail, and are collected in book form for the first time. Special attention is paid to general principles and fundamentals of formalisms for infinitesimals as well as to the technique of descents and ascents in a Booleanvalued universe. The book also includes various novel applications of nonstandard methods to ordered algebraic systems, vector lattices, subdifferentials, convex programming etc. that have been developed in recent years. For graduate students, postgraduates and all researchers interested in applying nonstandard methods in their work
Subdifferentials : theory and applications by
A. G Kusraev(
Book
)
16 editions published in 1995 in English and Italian and held by 134 WorldCat member libraries worldwide
This monograph presents the most important results of a new branch of functional analysis: subdifferential calculus and its applications. New tools and techniques of convex and nonsmooth analysis are presented, such as Kantorovich spaces, vector duality, Booleanvalued and infinitesimal versions of nonstandard analysis, etc., covering a wide range of topics. <br/> This volume fills the gap between the theoretical core of modern functional analysis and its applicable sections, such as optimization, optimal control, mathematical programming, economics and related subjects. <br/> The material in this book will be of interest to theoretical mathematicians looking for possible new applications and applied mathematicians seeking powerful contemporary theoretical methods. <br/>
16 editions published in 1995 in English and Italian and held by 134 WorldCat member libraries worldwide
This monograph presents the most important results of a new branch of functional analysis: subdifferential calculus and its applications. New tools and techniques of convex and nonsmooth analysis are presented, such as Kantorovich spaces, vector duality, Booleanvalued and infinitesimal versions of nonstandard analysis, etc., covering a wide range of topics. <br/> This volume fills the gap between the theoretical core of modern functional analysis and its applicable sections, such as optimization, optimal control, mathematical programming, economics and related subjects. <br/> The material in this book will be of interest to theoretical mathematicians looking for possible new applications and applied mathematicians seeking powerful contemporary theoretical methods. <br/>
Fundamentals of functional analysis by
S. S Kutateladze(
Book
)
18 editions published between 1996 and 2011 in English and Undetermined and held by 119 WorldCat member libraries worldwide
This is a concise guide to basic sections of modern functional analysis. Included are such topics as the principles of Banach and Hilbert spaces, the theory of multinormed and uniform spaces, the RieszDunford holomorphic functional calculus, the Fredholm index theory, convex analysis and duality theory for locally convex spaces. More than one hundred famous `named' theorems, culminating in the GelfandNaimarkSegal construction for C*algebras, are treated, and complete proofs are given. This volume, which is regarded already as a standard textbook in functional analysis, has been translated from the second, completely revised and updated Russian edition. It incorporates new sections on the Schwartz spaces of distributions, Radon measures, and a supplementary list of theoretical exercises and problems. Audience: This monograph will be of value to researchers and students who are interested in functional analysis
18 editions published between 1996 and 2011 in English and Undetermined and held by 119 WorldCat member libraries worldwide
This is a concise guide to basic sections of modern functional analysis. Included are such topics as the principles of Banach and Hilbert spaces, the theory of multinormed and uniform spaces, the RieszDunford holomorphic functional calculus, the Fredholm index theory, convex analysis and duality theory for locally convex spaces. More than one hundred famous `named' theorems, culminating in the GelfandNaimarkSegal construction for C*algebras, are treated, and complete proofs are given. This volume, which is regarded already as a standard textbook in functional analysis, has been translated from the second, completely revised and updated Russian edition. It incorporates new sections on the Schwartz spaces of distributions, Radon measures, and a supplementary list of theoretical exercises and problems. Audience: This monograph will be of value to researchers and students who are interested in functional analysis
Nonstandard analysis and vector lattices by
S. S Kutateladze(
Book
)
8 editions published in 2000 in English and held by 104 WorldCat member libraries worldwide
This book collects applications of nonstandard methods to the theory of vector lattices. Primary attention is paid to combining infinitesimal and Booleanvalued constructions of use in the classical problems of representing abstract analytical objects, such as BanachKantorovich spaces, vector measures, and dominated and integral operators. This book is a complement to Volume 358 of "Mathematics and Its Applications": Vector Lattices and Integral Operators, printed in 1996. Audience: The book is intended for the reader interested in the modern tools of nonstandard models of set theory as applied to problems of contemporary functional analysis. It will also be of use to mathematicians, students and postgraduates interested in measure and integration, operator theory, and mathematical logic and foundation
8 editions published in 2000 in English and held by 104 WorldCat member libraries worldwide
This book collects applications of nonstandard methods to the theory of vector lattices. Primary attention is paid to combining infinitesimal and Booleanvalued constructions of use in the classical problems of representing abstract analytical objects, such as BanachKantorovich spaces, vector measures, and dominated and integral operators. This book is a complement to Volume 358 of "Mathematics and Its Applications": Vector Lattices and Integral Operators, printed in 1996. Audience: The book is intended for the reader interested in the modern tools of nonstandard models of set theory as applied to problems of contemporary functional analysis. It will also be of use to mathematicians, students and postgraduates interested in measure and integration, operator theory, and mathematical logic and foundation
Vector lattices and integral operators by
S. S Kutateladze(
Book
)
13 editions published in 1996 in English and held by 98 WorldCat member libraries worldwide
This volume is devoted to modern accomplishments in the field of vector lattices and integral operators which were achieved in Russia during the last two decades. Nonstandard methods are elaborated for the analysis of vector lattices and positive operators. Much attention is paid to studying stability under multiplication by an arbitrary bounded operator for various classes of operators which are defined in terms of order. Also, several approaches to the solution of the J. von Neumann problem on the conditions for integrability of a linear operator are treated, and full information is given on the solution of some problems posed by P. Halmos and V. Sunder. Audience: This book is intended for mathematicians, students and postgraduates interested in functional analysis, operator theory, geometry of Banach spaces and vector lattices
13 editions published in 1996 in English and held by 98 WorldCat member libraries worldwide
This volume is devoted to modern accomplishments in the field of vector lattices and integral operators which were achieved in Russia during the last two decades. Nonstandard methods are elaborated for the analysis of vector lattices and positive operators. Much attention is paid to studying stability under multiplication by an arbitrary bounded operator for various classes of operators which are defined in terms of order. Also, several approaches to the solution of the J. von Neumann problem on the conditions for integrability of a linear operator are treated, and full information is given on the solution of some problems posed by P. Halmos and V. Sunder. Audience: This book is intended for mathematicians, students and postgraduates interested in functional analysis, operator theory, geometry of Banach spaces and vector lattices
Infinitesimal analysis by
E. I Gordon(
Book
)
10 editions published in 2002 in English and held by 97 WorldCat member libraries worldwide
Infinitesimal analysis, once a synonym for calculus, is now viewed as a technique for studying the properties of an arbitrary mathematical object by discriminating between its standard and nonstandard constituents. Resurrected by A. Robinson in the early 1960's with the epithet 'nonstandard', infinitesimal analysis not only has revived the methods of infinitely small and infinitely large quantities, which go back to the very beginning of calculus, but also has suggested many powerful tools for research in every branch of modern mathematics. The book sets forth the basics of the theory, as well as the most recent applications in, for example, functional analysis, optimization, and harmonic analysis. The concentric style of exposition enables this work to serve as an elementary introduction to one of the most promising mathematical technologies, while revealing uptodate methods of monadology and hyperapproximation. This is a companion volume to the earlier works on nonstandard methods of analysis by A.G. Kusraev and S.S. Kutateladze (1999), ISBN 0792359216 and Nonstandard Analysis and Vector Lattices edited by S.S. Kutateladze (2000), ISBN 0792366190
10 editions published in 2002 in English and held by 97 WorldCat member libraries worldwide
Infinitesimal analysis, once a synonym for calculus, is now viewed as a technique for studying the properties of an arbitrary mathematical object by discriminating between its standard and nonstandard constituents. Resurrected by A. Robinson in the early 1960's with the epithet 'nonstandard', infinitesimal analysis not only has revived the methods of infinitely small and infinitely large quantities, which go back to the very beginning of calculus, but also has suggested many powerful tools for research in every branch of modern mathematics. The book sets forth the basics of the theory, as well as the most recent applications in, for example, functional analysis, optimization, and harmonic analysis. The concentric style of exposition enables this work to serve as an elementary introduction to one of the most promising mathematical technologies, while revealing uptodate methods of monadology and hyperapproximation. This is a companion volume to the earlier works on nonstandard methods of analysis by A.G. Kusraev and S.S. Kutateladze (1999), ISBN 0792359216 and Nonstandard Analysis and Vector Lattices edited by S.S. Kutateladze (2000), ISBN 0792366190
Boolean valued analysis by
A. G Kusraev(
Book
)
13 editions published between 1999 and 2016 in English and held by 91 WorldCat member libraries worldwide
Boolean valued analysis is a technique for studying properties of an arbitrary mathematical object by comparing its representations in two different settheoretic models whose construction utilises principally distinct Boolean algebras. The use of two models for studying a single object is a characteristic of the socalled nonstandard methods of analysis. Application of Boolean valued models to problems of analysis rests ultimately on the procedures of ascending and descending, the two natural functors acting between a new Boolean valued universe and the von Neumann universe. This book demonstrates the main advantages of Boolean valued analysis which provides the tools for transforming, for example, function spaces to subsets of the reals, operators to functionals, and vectorfunctions to numerical mappings. Boolean valued representations of algebraic systems, Banach spaces, and involutive algebras are examined thoroughly. Audience: This volume is intended for classical analysts seeking powerful new tools, and for model theorists in search of challenging applications of nonstandard models
13 editions published between 1999 and 2016 in English and held by 91 WorldCat member libraries worldwide
Boolean valued analysis is a technique for studying properties of an arbitrary mathematical object by comparing its representations in two different settheoretic models whose construction utilises principally distinct Boolean algebras. The use of two models for studying a single object is a characteristic of the socalled nonstandard methods of analysis. Application of Boolean valued models to problems of analysis rests ultimately on the procedures of ascending and descending, the two natural functors acting between a new Boolean valued universe and the von Neumann universe. This book demonstrates the main advantages of Boolean valued analysis which provides the tools for transforming, for example, function spaces to subsets of the reals, operators to functionals, and vectorfunctions to numerical mappings. Boolean valued representations of algebraic systems, Banach spaces, and involutive algebras are examined thoroughly. Audience: This volume is intended for classical analysts seeking powerful new tools, and for model theorists in search of challenging applications of nonstandard models
Intrinsic geometry of convex surfaces by
A. D Aleksandrov(
Book
)
8 editions published between 2004 and 2006 in English and held by 89 WorldCat member libraries worldwide
"A. D. Alexandrov's work was both original and extremely influential. This book gave rise to studying surfaces "in the large," rejecting the limitations of smoothness, and reviving the style of Euclid. Progress in geometry in recent decades correlates with the resurrection of the synthetic methods of geometry and brings the ideas of Alexandrov once again into focus."Jacket
8 editions published between 2004 and 2006 in English and held by 89 WorldCat member libraries worldwide
"A. D. Alexandrov's work was both original and extremely influential. This book gave rise to studying surfaces "in the large," rejecting the limitations of smoothness, and reviving the style of Euclid. Progress in geometry in recent decades correlates with the resurrection of the synthetic methods of geometry and brings the ideas of Alexandrov once again into focus."Jacket
A.D. Alexandrov, selected works by
A. D Aleksandrov(
Book
)
in English and held by 63 WorldCat member libraries worldwide
in English and held by 63 WorldCat member libraries worldwide
Osnovy funkt︠s︡ionalʹnogo analiza by
S. S Kutateladze(
Book
)
7 editions published between 1983 and 2006 in Russian and held by 25 WorldCat member libraries worldwide
7 editions published between 1983 and 2006 in Russian and held by 25 WorldCat member libraries worldwide
Subdifferent︠s︡ialʹnoe ischislenie by
A. G Kusraev(
Book
)
6 editions published between 1987 and 2007 in Russian and held by 23 WorldCat member libraries worldwide
6 editions published between 1987 and 2007 in Russian and held by 23 WorldCat member libraries worldwide
Dvoĭstvennostʹ Minkovskogo i ee prilozhenii︠a︡ by
S. S Kutateladze(
Book
)
2 editions published in 1976 in Russian and held by 22 WorldCat member libraries worldwide
2 editions published in 1976 in Russian and held by 22 WorldCat member libraries worldwide
Upori︠a︡dochennye vektornye prostranstva by
G. P Akilov(
Book
)
2 editions published in 1978 in Russian and held by 20 WorldCat member libraries worldwide
2 editions published in 1978 in Russian and held by 20 WorldCat member libraries worldwide
Vektornai︠a︡ dvoĭstvennostʹ i ee prilozhenii︠a︡ by
A. G Kusraev(
Book
)
3 editions published in 1985 in Russian and held by 20 WorldCat member libraries worldwide
3 editions published in 1985 in Russian and held by 20 WorldCat member libraries worldwide
Sovremennye problemy geometrii i analiza(
Book
)
4 editions published in 1989 in Russian and held by 19 WorldCat member libraries worldwide
4 editions published in 1989 in Russian and held by 19 WorldCat member libraries worldwide
A.D. Alexandrov, selected works by
A. D Aleksandrov(
Book
)
4 editions published in 1996 in English and held by 16 WorldCat member libraries worldwide
4 editions published in 1996 in English and held by 16 WorldCat member libraries worldwide
Subdifferent︠s︡ialy : teorii︠a︡ i prilozhenii︠a︡ by
A. G Kusraev(
Book
)
2 editions published in 1992 in Russian and held by 12 WorldCat member libraries worldwide
2 editions published in 1992 in Russian and held by 12 WorldCat member libraries worldwide
Subdifferencialʹnoe isčislenie by
A. G Kusraev(
Book
)
4 editions published between 1983 and 1987 in Russian and Undetermined and held by 10 WorldCat member libraries worldwide
4 editions published between 1983 and 1987 in Russian and Undetermined and held by 10 WorldCat member libraries worldwide
A.D. Alexandrov, selected works by
S. S Kutateladze(
Book
)
4 editions published between 2004 and 2006 in English and held by 4 WorldCat member libraries worldwide
&Quot;A. D. Alexandrov's work was both original and extremely influential. This book gave rise to studying surfaces "in the large," rejecting the limitations of smoothness, and reviving the style of Euclid. Progress in geometry in recent decades correlates with the resurrection of the synthetic methods of geometry and brings the ideas of Alexandrov once again into focus."BOOK JACKET
4 editions published between 2004 and 2006 in English and held by 4 WorldCat member libraries worldwide
&Quot;A. D. Alexandrov's work was both original and extremely influential. This book gave rise to studying surfaces "in the large," rejecting the limitations of smoothness, and reviving the style of Euclid. Progress in geometry in recent decades correlates with the resurrection of the synthetic methods of geometry and brings the ideas of Alexandrov once again into focus."BOOK JACKET
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Related Identities
 Kusraev, A. G. Author
 Aleksandrov, A. D. (Aleksandr Danilovich) 19121999 Author
 Кострикин, А. И (Алексей Иванович) Other Editor
 Bokutʹ, L. A. (Leonid Arkadʹevich) 1937 Other Editor
 Kusraev, A. G. Author
 Reshetni︠a︡k, I︠U︡. G. (I︠U︡riĭ Grigorʹevich) Author Editor
 Gordon, E. I. (Evgenii Izrailevich) 1949 Author
 Akilov, Gleb Pavlovich Author
 Hazewinkel, M.
 Bulavskiĭ, V. A. Editor
Useful Links
Associated Subjects
Algebra Algebra, Boolean Calculus Convex functions Convex surfaces Curves on surfaces Differential calculus Differential equations, PartialNumerical solutions Discrete groups Duality theory (Mathematics) Functional analysis Functional equations Geometry Geometry, Differential Integral operators Logic, Symbolic and mathematical Mathematical analysis Mathematical optimization Mathematics Nonsmooth optimization Nonstandard mathematical analysis Operator theory Polyhedra Reshetni︠a︡k, I︠U︡. G.(I︠U︡riĭ Grigorʹevich) Riesz spaces Subdifferentials Topology Vector lattices, Archimedian Vector spaces Vector valued functions
Alternative Names
Koutateladze Semen Samsonovitch 1945....
Kutaeladze, S. S.
Kutaeladze, S. S. 1945
Kutaeladze, S. S. (Semen Samsonovich)
Kutateladze, S. 1945
Kutateladze, S. S.
Kutateladze S. S. 1945
Kutateladze, Semen Samsonovič 1945
Kutateladze Semen Samsonovich
Kutateladze, Semen Samsonovich 1945
Semen Samsonovich Kutateladze
Semen Samsonovich Kutateladze Russian mathematician
Кутателадзе, С. С
Кутателадзе С. С. 1945
Кутателадзе, С. С. (Семен Самсонович)
Кутателадзе, Семён Самсонович российский и советский учёный в области математики
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