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A primer on Hilbert space operators

Soltan, Piotr.

A primer on Hilbert space operators

紀錄類型:	書目-電子資源 : Monograph/item
正題名/作者:	A primer on Hilbert space operatorsby Piotr Soltan.
作者:	Soltan, Piotr.
出版者:	Cham :Springer International Publishing :2018.
面頁冊數:	xii, 200 p. :ill., digital ;24 cm.
Contained By:	Springer eBooks
標題:	Hilbert space.
電子資源:	https://doi.org/10.1007/978-3-319-92061-0
ISBN:	9783319920610$q(electronic bk.)

A primer on Hilbert space operators
Soltan, Piotr.

A primer on Hilbert space operators[electronic resource] /by Piotr Soltan. - Cham :Springer International Publishing :2018. - xii, 200 p. :ill., digital ;24 cm. - Compact textbooks in mathematics,2296-4568. - Compact textbooks in mathematics..

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.

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.

ISBN: 9783319920610$q(electronic bk.)

Standard No.: 10.1007/978-3-319-92061-0doiSubjects--Topical Terms:

184635
Hilbert space.

LC Class. No.: QA322.4 / .S657 2018

Dewey Class. No.: 515.733

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520 $a 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.
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