MEASURE THEORY AND FUNCTIONAL ANALYSIS - Hardcover

Weaver, Nik

Hardcover

ISBN 10: 981450856X ISBN 13: 9789814508568

Publisher: World Scientific Publishing Company, 2013

Synopsis

This book provides an introduction to measure theory and functional analysis suitable for a beginning graduate course, and is based on notes the author had developed over several years of teaching such a course. It is unique in placing special emphasis on the separable setting, which allows for a simultaneously more detailed and more elementary exposition, and for its rapid progression into advanced topics in the spectral theory of families of self-adjoint operators. The author's notion of measurable Hilbert bundles is used to give the spectral theorem a particularly elegant formulation not to be found in other textbooks on the subject.

About this title

Review:

"This book would serve admirably well for a one semester course on the subject. In view of its conciseness and brevity, it serves as a useful reference for graduate students studying for qualifying exams." -- Mathematical Association of America

"It is unique in placing special emphasis on the separable setting, which allows for a simultaneously more detailed and more elementary exposition, and for its rapid progression into advanced topics in the spectral theory of families." -- Zentralblatt MATH

"This nice book contains an enormous amount of information in relatively few pages." -- MathSciNet

"This is a nice book! It contains an enormous amount of information in relatively few pages. This is more a textbook to help a teacher present an inspiring course in modern analysis rather than a book for self-study." -- Mathematical Reviews Clippings

About this edition

• Publisher: World Scientific Publishing Company
• Publication date: 2013
• ISBN 10: 981450856X
• ISBN 13: 9789814508568
• Binding: Hardcover
• Number of pages: 212