Piotr Soltan,
Piotr Sołtan
A Primer on Hilbert Space Operators
Paperback Engels 2018 9783319920603Levertijd ongeveer 9 werkdagen
Gratis verzonden
Samenvatting
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.
Specificaties
ISBN13:9783319920603
Taal:Engels
Bindwijze:paperback
Uitgever:Springer International Publishing
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Inhoudsopgave
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.<p></p>
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