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Topological vector spaces and their applications [electronic resource]

Topological vector spaces and their applications [electronic resource]

자료유형
E-Book(소장)
개인저자
Bogachev, V. I. (Vladimir Igorevich), 1961-. Smolyanov, O. G.
서명 / 저자사항
Topological vector spaces and their applications [electronic resource] / V.I. Bogachev, O.G. Smolyanov.
발행사항
Cham :   Springer,   c2017.  
형태사항
1 online resource (x, 456 p.).
총서사항
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.
일반주기
Title from e-Book title page.  
내용주기
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.
서지주기
Includes bibliographical references and index.
이용가능한 다른형태자료
Issued also as a book.  
일반주제명
Functional analysis. Global analysis. Mathematics. Distribution (Probability theory.
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020 ▼a 9783319571164
020 ▼a 9783319571171 (e-book)
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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)

소장정보

No. 소장처 청구기호 등록번호 도서상태 반납예정일 예약 서비스
No. 1 소장처 중앙도서관/e-Book 컬렉션/ 청구기호 CR 512.52 등록번호 E14018068 도서상태 대출불가(열람가능) 반납예정일 예약 서비스 M

컨텐츠정보

목차

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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