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© 2016

Operators on Hilbert Space

Textbook
  • 4.3k Downloads

Part of the Texts and Readings in Mathematics book series (TRIM, volume 71)

Table of contents

  1. Front Matter
    Pages i-xi
  2. V. S. Sunder
    Pages 1-29
  3. V. S. Sunder
    Pages 31-54
  4. V. S. Sunder
    Pages 55-90
  5. Back Matter
    Pages 91-100

About this book

Introduction

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. 

Keywords

Hilbert space Spectral Theorem Polar decomposition Compact operators Orthonormal bases Adjoints

Authors and affiliations

  1. 1.Department of MathematicsInstitute of Mathematical SciencesChennaiIndia

About the authors

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
  • Series Abbreviated Title Texts and Readings in Mathematics
  • DOI https://doi.org/10.1007/978-981-10-1816-9
  • Copyright Information Springer Science+Business Media Singapore 2016
  • Publisher Name Springer, Singapore
  • eBook Packages Mathematics and Statistics Mathematics and Statistics (R0)
  • Hardcover ISBN 978-981-10-1815-2
  • eBook ISBN 978-981-10-1816-9
  • Series ISSN 2366-8717
  • Series E-ISSN 2366-8725
  • Edition Number 1
  • Number of Pages XI, 100
  • Number of Illustrations 0 b/w illustrations, 0 illustrations in colour
  • Topics Operator Theory
    Functional Analysis
  • Buy this book on publisher's site