Measure Theory and Functional Analysis - Couverture rigide

Weaver, Nik

 
9789814508568: Measure Theory and Functional Analysis

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.

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Présentation de l'éditeur

“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 book would serve admirably well for a one-semester course on the subject. This book might, in view of its conciseness and brevity, serve as a useful reference for graduate students studying for qualifying exams.” Mathematical Association of America Reviews 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.

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