Authors:
- Provides a quick insight into the theory of operators on Hilbert spaces
- Thorough and self-contained presentation
- Highlight: Presentation of the z-transform to deal with unbounded operators
Part of the book series: Compact Textbooks in Mathematics (CTM)
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Table of contents (12 chapters)
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Front Matter
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Unbounded Operators
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Front Matter
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Back Matter
About this book
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.Reviews
“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)
Authors and Affiliations
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Faculty of Physics, University of Warsaw, Warsaw, Poland
Piotr Sołtan
Bibliographic Information
Book Title: A Primer on Hilbert Space Operators
Authors: Piotr Sołtan
Series Title: Compact Textbooks in Mathematics
DOI: https://doi.org/10.1007/978-3-319-92061-0
Publisher: Birkhäuser Cham
eBook Packages: Mathematics and Statistics, Mathematics and Statistics (R0)
Copyright Information: Springer Nature Switzerland AG 2018
Softcover ISBN: 978-3-319-92060-3Published: 17 September 2018
eBook ISBN: 978-3-319-92061-0Published: 04 September 2018
Series ISSN: 2296-4568
Series E-ISSN: 2296-455X
Edition Number: 1
Number of Pages: XII, 200
Number of Illustrations: 1 illustrations in colour
Topics: Operator Theory