Measure Theory and Functional Analysis

Nonfiction, Science & Nature, Mathematics, Menstruation, Functional Analysis
Cover of the book Measure Theory and Functional Analysis by Nik Weaver, World Scientific Publishing Company
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Author: Nik Weaver ISBN: 9789814508582
Publisher: World Scientific Publishing Company Publication: July 23, 2013
Imprint: WSPC Language: English
Author: Nik Weaver
ISBN: 9789814508582
Publisher: World Scientific Publishing Company
Publication: July 23, 2013
Imprint: WSPC
Language: English

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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Contents:

  • Topological Spaces
  • Measure and Integration
  • Banach Spaces
  • Dual Banach Spaces
  • Spectral Theory

Readership: Graduates students in mathematics (pure and applied) in their first or second year, graduate students in physics or engineering, and economics.
Key Features:

  • A very readable and thorough treatment of the core material in measure theory and functional analysis which cuts a clear path to advanced results in the spectral theory of families of commuting self-adjoint operators, avoiding side topics of lesser importance
  • Presents the author's elegant formulation of the spectral theorem in terms of his notion of Hilbert bundles, not available in comparable textbooks
  • Uniquely firm emphasis on the separable case allows for a simultaneously more detailed and more elementary exposition
  • Includes over 150 exercises
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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.

Request Inspection Copy

Contents:

Readership: Graduates students in mathematics (pure and applied) in their first or second year, graduate students in physics or engineering, and economics.
Key Features:

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