Topological vector spaces and their applications / V.I. Bogachev, O.G. Smolyanov.

Format:

Book

Author/Creator:

Bogachev, V. I. (Vladimir Igorevich), 1961- author.

Smolyanov, O. G., author.

Series:

Springer monographs in mathematics 1439-7382

Springer monographs in mathematics, 1439-7382

Language:

English

Subjects (All):

Vector spaces.

Place of Publication:

Cham, Switzerland : Springer, [2017]

Summary:

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.

Contents:

Introduction to the theory of topological vector spaces

Methods of constructing topological vector spaces

Duality

Differential calculus

Measures on linear spaces.

Notes:

Includes bibliographical references and indexes.

ISBN:

3319571168

9783319571164

OCLC:

981163655