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 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.

1133671558
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 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.

49.99 In Stock
A Primer on Hilbert Space Operators

A Primer on Hilbert Space Operators

by Piotr Soltan
A Primer on Hilbert Space Operators

A Primer on Hilbert Space Operators

by Piotr Soltan

Paperback(1st ed. 2018)

$49.99 
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Overview

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.


Product Details

ISBN-13: 9783319920603
Publisher: Springer International Publishing
Publication date: 09/04/2018
Series: Compact Textbooks in Mathematics
Edition description: 1st ed. 2018
Pages: 200
Product dimensions: 6.10(w) x 9.25(h) x (d)

About the Author

Piotr ​Sołtan

Table of Contents

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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