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Operators on Hilbert Space

  • V. S. Sunder

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

  • V. S. Sunder
    • 1
  1. 1.Department of MathematicsInstitute of Mathematical SciencesChennaiIndia

Bibliographic information

  • 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
  • Online ISBN 978-981-10-1816-9
  • Series Print ISSN 2366-8717
  • Series Online ISSN 2366-8725
  • Buy this book on publisher's site