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A Primer on Hilbert Space Operators
~
Sołtan, Piotr.
A Primer on Hilbert Space Operators
紀錄類型:
書目-語言資料,印刷品 : Monograph/item
正題名/作者:
A Primer on Hilbert Space Operators/ by Piotr Sołtan.
作者:
Sołtan, Piotr.
面頁冊數:
XII, 200 p. 1 illus. in color.online resource. :
Contained By:
Springer Nature eBook
標題:
Operator theory. -
電子資源:
https://doi.org/10.1007/978-3-319-92061-0
ISBN:
9783319920610
A Primer on Hilbert Space Operators
Sołtan, Piotr.
A Primer on Hilbert Space Operators
[electronic resource] /by Piotr Sołtan. - 1st ed. 2018. - XII, 200 p. 1 illus. in color.online resource. - 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
Standard No.: 10.1007/978-3-319-92061-0doiSubjects--Topical Terms:
527910
Operator theory.
LC Class. No.: QA329-329.9
Dewey Class. No.: 515.724
A Primer on Hilbert Space Operators
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