Measure theory and functional analysis

著者

• Weaver, Nik

書誌事項

Measure theory and functional analysis

Nik Weaver

World Scientific Publishing, c2013

内容説明・目次

内容説明

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.

目次

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

「Nielsen BookData」 より

• NII書誌ID(NCID): BB1385826X
• ISBN:
  • 9789814508568
• 出版国コード: si
• タイトル言語コード: eng
• 本文言語コード: eng
• 出版地: Singapore
• ページ数/冊数: viii, 202 p.
• 大きさ: 24 cm
• 分類:
  • LCC : QA300
  • DC23 : 515.42
• 件名:
  • LCSH : Measure theory
  • LCSH : Measure theory -- Problems, exercises, etc
  • LCSH : Functional analysis
  • LCSH : Functional analysis -- Problems, exercises, etc