Description

Book 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.

Table of Contents
Topological Spaces; Measure and Integration; Banach Spaces; Dual Banach Spaces; Spectral Theory.

Measure Theory And Functional Analysis

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    A Hardback by Nik Weaver

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      Publisher: World Scientific Publishing Co Pte Ltd
      Publication Date: Publication Date: 18/09/2013
      ISBN13: 9789814508568, 978-9814508568
      ISBN10: 981450856X

      Description

      Book 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.

      Table of Contents
      Topological Spaces; Measure and Integration; Banach Spaces; Dual Banach Spaces; Spectral Theory.

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