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Topological vector spaces and their applications [electronic resource]

Topological vector spaces and their applications [electronic resource]

Material type
E-Book(소장)
Personal Author
Bogachev, V. I. (Vladimir Igorevich), 1961-. Smolyanov, O. G.
Title Statement
Topological vector spaces and their applications [electronic resource] / V.I. Bogachev, O.G. Smolyanov.
Publication, Distribution, etc
Cham :   Springer,   c2017.  
Physical Medium
1 online resource (x, 456 p.).
Series Statement
Springer Monographs in Mathematics,1439-7382, 2196-9922 (electronic)
ISBN
9783319571164 9783319571171 (e-book)
요약
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.
General Note
Title from e-Book title page.  
Content Notes
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.
Bibliography, Etc. Note
Includes bibliographical references and index.
이용가능한 다른형태자료
Issued also as a book.  
Subject Added Entry-Topical Term
Functional analysis. Global analysis. Mathematics. Distribution (Probability theory.
Short cut
URL
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020 ▼a 9783319571164
020 ▼a 9783319571171 (e-book)
040 ▼a 211009 ▼c 211009 ▼d 211009
050 4 ▼a QA319-329.9
082 0 4 ▼a 512.52 ▼2 23
084 ▼a 512.52 ▼2 DDCK
090 ▼a 512.52
100 1 ▼a Bogachev, V. I. ▼q (Vladimir Igorevich), ▼d 1961-.
245 1 0 ▼a Topological vector spaces and their applications ▼h [electronic resource] / ▼c V.I. Bogachev, O.G. Smolyanov.
260 ▼a Cham : ▼b Springer, ▼c c2017.
300 ▼a 1 online resource (x, 456 p.).
490 1 ▼a Springer Monographs in Mathematics, ▼x 1439-7382, ▼x 2196-9922 (electronic)
500 ▼a Title from e-Book title page.
504 ▼a Includes bibliographical references and index.
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.
530 ▼a Issued also as a book.
538 ▼a Mode of access: World Wide Web.
650 0 ▼a Functional analysis.
650 0 ▼a Global analysis.
650 0 ▼a Mathematics.
650 0 ▼a Distribution (Probability theory.
700 1 ▼a Smolyanov, O. G.
830 0 ▼a Springer Monographs in Mathematics.
856 4 0 ▼u https://oca.korea.ac.kr/link.n2s?url=https://doi.org/10.1007/978-3-319-57117-1
945 ▼a KLPA
991 ▼a E-Book(소장)

Holdings Information

No. Location Call Number Accession No. Availability Due Date Make a Reservation Service
No. 1 Location Main Library/e-Book Collection/ Call Number CR 512.52 Accession No. E14018068 Availability Loan can not(reference room) Due Date Make a Reservation Service M

Contents information

Table of Contents

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.


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