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Topological Vector Spaces and Their Applications

Topological Vector Spaces and Their Applications
Catalogue Information
Field name Details
Dewey Class 515.7
Title Topological Vector Spaces and Their Applications ([EBook]) / by V.I. Bogachev, O.G. Smolyanov.
Author Bogachev, Vladimir I.
Added Personal Name Smolyanov, O.G.
Other name(s) SpringerLink (Online service)
Publication Cham : Springer International Publishing , 2017.
Physical Details X, 456 pages : online resource.
Series Springer monographs in mathematics 1439-7382
ISBN 9783319571171
Summary Note 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.:
Contents note 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.
System details note Online access to this digital book is restricted to subscription institutions through IP address (only for SISSA internal users).
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