Operators on Hilbert Space 2017
Published on 29. August 2016
Book
Hardback
112 pages
978-981-10-1815-2 (ISBN)
Description
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.
More details
Series
Edition
2016 ed.
Language
English
Place of publication
Singapore
Singapore
Target group
College/higher education
Illustrations
biography
Dimensions
Height: 235 mm
Width: 155 mm
ISBN-13
978-981-10-1815-2 (9789811018152)
DOI
10.1007/978-981-10-1816-9
Copyright in bibliographic data and cover images is held by Nielsen Book Services Limited or by the publishers or by their respective licensors: all rights reserved.
Schweitzer Classification
Other editions
Additional editions
Person
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.
Content
Chapter 1. Hilbert space.- Chapter 2. The Spectral Theorem.- Chapter 3. Beyond normal operators.