A Primer on Hilbert Space Operators

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48,14 

Compact Textbooks in Mathematics

ISBN: 331992060X
ISBN 13: 9783319920603
Autor: Soltan, Piotr
Verlag: Springer Basel AG
Umfang: xii, 200 S., 1 farbige Illustr., 200 p. 1 illus. in color.
Erscheinungsdatum: 17.09.2018
Auflage: 1/2018
Produktform: Kartoniert
Einband: Kartoniert

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.

Artikelnummer: 5031060 Kategorie:

Beschreibung

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.

Autorenporträt

Piotr Soltan

Herstellerkennzeichnung:


Springer Basel AG in Springer Science + Business Media
Heidelberger Platz 3
14197 Berlin
DE

E-Mail: juergen.hartmann@springer.com

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