E-Book, Englisch, 200 Seiten, eBook
Soltan / Soltan A Primer on Hilbert Space Operators
Erscheinungsjahr 2018
ISBN: 978-3-319-92061-0
Verlag: Springer International Publishing
Format: PDF
Kopierschutz: 1 - PDF Watermark
E-Book, Englisch, 200 Seiten, eBook
Reihe: Compact Textbooks in Mathematics
ISBN: 978-3-319-92061-0
Verlag: Springer International Publishing
Format: PDF
Kopierschutz: 1 - PDF Watermark
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 groups of operators.
The exposition of the material on unbounded operators is based on a novel tool, called the z-transform, which provides a way to encode full information about unbounded operators in bounded ones, hence making many technical aspects of the theory less involved.Zielgruppe
Graduate
Autoren/Hrsg.
Weitere Infos & Material
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.
