Lectures and Exercises on Functional Analysis (Translations of Mathematical Monographs) - Hardcover

American Mathematical Society

Hardcover

ISBN 10: 0821840983 ISBN 13: 9780821840986

Publisher: American Mathematical Society, 2006

Synopsis

This book is based on courses taught by the author at Moscow State University. Compared to many other books on the subject, it is unique in that the exposition is based on extensive use of the language and elementary constructions of category theory. Among topics featured in the book are the theory of Banach and Hilbert tensor products, the theory of distributions and weak topologies, and Borel operator calculus. The book contains many examples illustrating the general theory presented, as well as multiple exercises that help the reader to learn the subject. It can be used as a textbook on selected topics of functional analysis and operator theory. Prerequisites include linear algebra, elements of real analysis, and elements of the theory of metric spaces.

Edition details

• Publisher: American Mathematical Society
• Publication date: 2006
• Language: English
• ISBN 10: 0821840983
• ISBN 13: 9780821840986
• Binding: Hardcover
• Number of pages: 468