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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Hlavný autor: Sołtan, Piotr (Autor)
Médium: Elektronický zdroj E-kniha
Jazyk:English
Vydavateľské údaje: Cham : Springer International Publishing, 2018.
Vydanie:1st ed. 2018.
Edícia:Compact Textbooks in Mathematics,
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ISBN:9783319920610
ISSN:2296-4568
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Popis
Shrnutí: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.
Popis jednotky:Mathematics and Statistics
Fyzický popis:XII, 200 p. 1 illus. in color. online resource.
ISBN:9783319920610
ISSN:2296-4568