A Primer on Hilbert Space Operators

The book concisely presents the fundamental aspects of the theory of operators on Hilbert spaces. The topics covered include functional calculus and spectral theorems, compact operators, trace class and Hilbert-Schmidt operators, self-adjoint extensions of symmetric operators, and one-parameter grou...

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Bibliographische Detailangaben
1. Verfasser: Sołtan, Piotr (VerfasserIn)
Format: Elektronisch E-Book
Sprache:Englisch
Veröffentlicht: Cham : Springer International Publishing, 2018.
Ausgabe:1st ed. 2018.
Schriftenreihe:Compact Textbooks in Mathematics,
Schlagworte:
Operator theory.
ISBN:9783319920610
ISSN:2296-4568
Online-Zugang: Volltext
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Inhaltsangabe:
  • Spectrum of an operator
  • Continuous functional calculus
  • Positive operators
  • Spectral theorems and functional calculus
  • Compact operators
  • The trace
  • Functional calculus for families of operators
  • Operators and their graphs
  • z-transform
  • Spectral theorems
  • Self-adjoint extensions of symmetric operators
  • One-parameter groups of unitary operators
  • Appendices
  • Index of notation
  • References - Index.

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