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Topological vector spaces and their applications

Record Type:	Language materials, printed : Monograph/item
Title/Author:	Topological vector spaces and their applications/ by V.I. Bogachev, O.G. Smolyanov.
Author:	Bogachev, V.I.
other author:	Smolyanov, O.G.
Published:	Cham :Springer International Publishing : : 2017.,
Description:	x, 456 p. :ill., digital ; : 24 cm.;
Contained By:	Springer eBooks
Subject:	Vector spaces. -
Online resource:	http://dx.doi.org/10.1007/978-3-319-57117-1
ISBN:	9783319571171

Topological vector spaces and their applications
Bogachev, V.I.

Topological vector spaces and their applications[electronic resource] /by V.I. Bogachev, O.G. Smolyanov. - Cham :Springer International Publishing :2017. - x, 456 p. :ill., digital ;24 cm. - Springer monographs in mathematics,1439-7382. - Springer monographs in mathematics..

1. Introduction to the theory of topological vector spaces -- 2. Methods of constructing topological vector spaces -- 3. Duality -- 4. Differential calculus -- 5.Measures on linear spaces.

This book gives a compact exposition of the fundamentals of the theory of locally convex topological vector spaces. Furthermore it contains a survey of the most important results of a more subtle nature, which cannot be regarded as basic, but knowledge which is useful for understanding applications. Finally, the book explores some of such applications connected with differential calculus and measure theory in infinite-dimensional spaces. These applications are a central aspect of the book, which is why it is different from the wide range of existing texts on topological vector spaces. In addition, this book develops differential and integral calculus on infinite-dimensional locally convex spaces by using methods and techniques of the theory of locally convex spaces. The target readership includes mathematicians and physicists whose research is related to infinite-dimensional analysis.

ISBN: 9783319571171

Standard No.: 10.1007/978-3-319-57117-1doiSubjects--Topical Terms:

528614
Vector spaces.

LC Class. No.: QA186

Dewey Class. No.: 512.52

Topological vector spaces and their applications
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245 1 0 $a Topological vector spaces and their applications $h [electronic resource] / $c by V.I. Bogachev, O.G. Smolyanov.
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490 1 $a Springer monographs in mathematics, $x 1439-7382
505 0 $a 1. Introduction to the theory of topological vector spaces -- 2. Methods of constructing topological vector spaces -- 3. Duality -- 4. Differential calculus -- 5.Measures on linear spaces.
520 $a This book gives a compact exposition of the fundamentals of the theory of locally convex topological vector spaces. Furthermore it contains a survey of the most important results of a more subtle nature, which cannot be regarded as basic, but knowledge which is useful for understanding applications. Finally, the book explores some of such applications connected with differential calculus and measure theory in infinite-dimensional spaces. These applications are a central aspect of the book, which is why it is different from the wide range of existing texts on topological vector spaces. In addition, this book develops differential and integral calculus on infinite-dimensional locally convex spaces by using methods and techniques of the theory of locally convex spaces. The target readership includes mathematicians and physicists whose research is related to infinite-dimensional analysis.
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650 2 4 $a Measure and Integration. $3 672015
650 2 4 $a Probability Theory and Stochastic Processes. $3 593945
700 1 $a Smolyanov, O.G. $3 1142773
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