Background
His father was a heat physicist Samson Kutateladze.
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Other photo of Semen Samsonovich Kutateladze
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book
Fundamentals of Functional Analysis (Texts in the Mathematical Sciences)
(to the English Translation This is a concise guide to bas...)
to the English Translation 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 Riesz-Dunford holomorphic functional calculus, the Fredholm index theory, convex analysis and duality theory for locally convex spaces. With standard provisos the presentation is self-contained, exposing about a h- dred famous "named" theorems furnished with complete proofs and culminating in the Gelfand-Nalmark-Segal construction for C*-algebras. The first Russian edition was printed by the Siberian Division of "Nauka" P- lishers in 1983. Since then the monograph has served as the standard textbook on functional analysis at the University of Novosibirsk. This volume is translated from the second Russian edition printed by the Sobolev Institute of Mathematics of the Siberian Division of the Russian Academy of Sciences· in 1995. It incorporates new sections on Radon measures, the Schwartz spaces of distributions, and a supplementary list of theoretical exercises and problems. This edition was typeset using AMS-'lEX, the American Mathematical Society's 'lEX system. To clear my conscience completely, I also confess that := stands for the definor, the assignment operator, signifies the end of the proof.
http://www.amazon.com/gp/product/0792338987/?tag=2022091-20
Nonstandard Methods of Analysis (Mathematics and Its Applications)
(Nonstandard Methods of Analysis is concerned with the mai...)
Nonstandard Methods of Analysis is concerned with the main trends in this field; infinitesimal analysis and Boolean-valued analysis. The methods that have been developed in the last twenty-five 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 Boolean-valued 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.
http://www.amazon.com/gp/product/940104497X/?tag=2022091-20
Nonstandard Methods of Analysis (Mathematics and Its Applications)
(Nonstandard Methods of Analysis is concerned with the mai...)
Nonstandard Methods of Analysis is concerned with the main trends in this field; infinitesimal analysis and Boolean-valued analysis. The methods that have been developed in the last twenty-five 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 Boolean-valued 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.
http://www.amazon.com/gp/product/0792328922/?tag=2022091-20
Semen Samsonovich Kutateladze
Edit ProfileCareer
He is known for contributions to functional analysis and its applications to vector lattices and optimization. In particular, he has made contributions to the calculus of subdifferentials for vector-lattice valued functions, to whose study he introduced methods of Boolean-valued models and infinitesimals. He is professor of mathematics at Novosibirsk State University, where he has continued and enriched the scientific tradition of Leonid Kantorovich.
I. G. South. South. G. South. South. M.
Works
book
-
Nonstandard Methods of Analysis (Mathematics and Its Applications)
(Nonstandard Methods of Analysis is concerned with the mai...)
-
Nonstandard Methods of Analysis (Mathematics and Its Applications)
(Nonstandard Methods of Analysis is concerned with the mai...)
-
Fundamentals of Functional Analysis (Texts in the Mathematical Sciences)
(to the English Translation This is a concise guide to bas...)
- Fundamentals of Functional Analysis (Texts in the Mathematical Sciences) by Sem????n Samsonovich Kutateladze (2010-12-07)
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Nonstandard Methods of Analysis (Mathematics and Its Applications)
