A Primer on Hilbert Space Operators by Piotr Soltan

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A Primer on Hilbert Space Operators by Piotr Soltan

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.

“We warmly recommend the book to students interested in operator theory and many of its significant applications” (Valentin Keyantuo, Mathematical Reviews, November, 2019)
“The book under review is a solid and concise textbook for advanced undergraduate and masters students. ... It is all in all an excellent book and the reviewer would definitely recommend it to anybody who wants to learn the theory of (bounded as well as unbounded) linear operators on Hilbert spaces.” (Jaydeb Sarkar, zbMath 1417.47001, 2019)

Piotr ​Sołtan
SKU Unavailable
ISBN 13 9783319920603
ISBN 10 331992060X
Title A Primer on Hilbert Space Operators
Author Piotr Soltan
Series Compact Textbooks In Mathematics
Condition Unavailable
Binding Type Paperback
Publisher Birkhauser Verlag AG
Year published 2018-09-17
Number of pages 200
Cover note Book picture is for illustrative purposes only, actual binding, cover or edition may vary.