A Primer on Hilbert Space Operators

• Main Author: Sołtan, Piotr (Author, http://id.loc.gov/vocabulary/relators/aut)
• Corporate Author: SpringerLink (Online service)
• Format: Electronic eBook
• Language: English
• Published: Cham : Springer International Publishing : Imprint: Birkhäuser, 2018.
• Edition: 1st ed. 2018.
• Series: Compact Textbooks in Mathematics,
• Subjects: Operator theory.; Operator Theory.

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...

Table of Contents:

• 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.