Operators on Hilbert Space (Texts and Readings in Mathematics Book 71) by V. S. Sunder (PDF)

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Ebook Info

  • Published: 2016
  • Number of pages: 100 pages
  • Format: PDF
  • File Size: 1.33 MB
  • Authors: V. S. Sunder

Description

The primarily objective of the book is to serve as a primer on the theory of bounded linear operators on separable Hilbert space. The book presents the spectral theorem as a statement on the existence of a unique continuous and measurable functional calculus. It discusses a proof without digressing into a course on the Gelfand theory of commutative Banach algebras. The book also introduces the reader to the basic facts concerning the various von Neumann–Schatten ideals, the compact operators, the trace-class operators and all bounded operators.

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