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Topological Vector Spaces and Their Applications

Topological Vector Spaces and Their Applications

Hardcover

Series: Springer Monographs in Mathematics

General MathematicsProbability & Statistics

ISBN10: 3319571168
ISBN13: 9783319571164
Publisher: Springer Nature
Published: May 26 2017
Pages: 456
Weight: 1.82
Height: 1.00 Width: 6.14 Depth: 9.21
Language: English

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. Overall, 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.

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