Overview
- Serves as a primer on the theory of bounded linear operators on separable Hilbert space
- Presents the spectral theorem as a statement on the existence of a unique continuous and measurable functional calculus
- Discusses a proof without digressing into a course on the Gelfand theory of commutative Banach algebras
- Introduces the reader to the basic facts concerning the various von Neumann–Schatten ideals, the compact operators, the trace-class operators and all bounded operators
- Is authored by the winner of the Shanti Swarup Bhatnagar Prize for Science and Technology
- Includes supplementary material: sn.pub/extras
Part of the book series: Texts and Readings in Mathematics (TRIM, volume 71)
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Table of contents (3 chapters)
Keywords
About this book
The primarily objective of the book is to serve as a primer on the theory of bounded linear operators on separable Hilbert space. The book presents the spectral theorem as a statement on the existence of a unique continuous and measurable functional calculus. It discusses a proof without digressing into a course on the Gelfand theory of commutative Banach algebras. The book also introduces the reader to the basic facts concerning the various von Neumann–Schatten ideals, the compact operators, the trace-class operators and all bounded operators.
Authors and Affiliations
About the author
Vaikalathur Shankar Sunder (or V.S. Sunder) is professor of mathematics at the Institute of Mathematical Sciences (commonly known as MATSCIENCE). He specialises in subfactors, operator algebras and functional analysis in general. In 1996, he was awarded the Shanti Swarup Bhatnagar Prize for Science and Technology, the highest science award in India, in the mathematical sciences category. He is one of the first Indian operator algebraists. In addition to publishing over 60 papers, he has written six books including at least three monographs at the graduate level or higher on von Neumann algebras. One of the books was co-authored with Vaughan Jones, an operator algebraist, who has received the Fields Medal.
Bibliographic Information
Book Title: Operators on Hilbert Space
Authors: V. S. Sunder
Series Title: Texts and Readings in Mathematics
DOI: https://doi.org/10.1007/978-981-10-1816-9
Publisher: Springer Singapore
eBook Packages: Mathematics and Statistics, Mathematics and Statistics (R0)
Copyright Information: Springer Science+Business Media Singapore 2016
eBook ISBN: 978-981-10-1816-9Published: 05 August 2016
Series ISSN: 2366-8717
Series E-ISSN: 2366-8725
Edition Number: 1
Number of Pages: XI, 100
Topics: Operator Theory, Functional Analysis