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A primer on Hilbert space operators
~
Soltan, Piotr.
A primer on Hilbert space operators
Record Type:
Language materials, printed : Monograph/item
Title/Author:
A primer on Hilbert space operators/ by Piotr Soltan.
Author:
Soltan, Piotr.
Published:
Cham :Springer International Publishing : : 2018.,
Description:
xii, 200 p. :ill., digital ; : 24 cm.;
Contained By:
Springer eBooks
Subject:
Hilbert space. -
Online resource:
https://doi.org/10.1007/978-3-319-92061-0
ISBN:
9783319920610
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
Standard No.: 10.1007/978-3-319-92061-0doiSubjects--Topical Terms:
580375
Hilbert space.
LC Class. No.: QA322.4 / .S657 2018
Dewey Class. No.: 515.733
A primer on Hilbert space operators
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24 cm.
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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.
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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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Mathematics and Statistics (Springer-11649)
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