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Analysis Now

  • Gert K. Pedersen

Part of the Graduate Texts in Mathematics book series (GTM, volume 118)

Table of contents

  1. Front Matter
    Pages i-xiv
  2. Gert K. Pedersen
    Pages 1-42
  3. Gert K. Pedersen
    Pages 43-78
  4. Gert K. Pedersen
    Pages 79-125
  5. Gert K. Pedersen
    Pages 127-189
  6. Gert K. Pedersen
    Pages 191-219
  7. Gert K. Pedersen
    Pages 221-266
  8. Back Matter
    Pages 267-280

About this book

Introduction

Graduate students in mathematics, who want to travel light, will find this book invaluable; impatient young researchers in other fields will enjoy it as an instant reference to the highlights of modern analysis. Starting with general topology, it moves on to normed and seminormed linear spaces. From there it gives an introduction to the general theory of operators on Hilbert space, followed by a detailed exposition of the various forms the spectral theorem may take; from Gelfand theory, via spectral measures, to maximal commutative von Neumann algebras. The book concludes with two supplementary chapters: a concise account of unbounded operators and their spectral theory, and a complete course in measure and integration theory from an advanced point of view.

Keywords

Gelfand representation Hilbert space calculus compactness differential equation maximum measure spectral theorem

Authors and affiliations

  • Gert K. Pedersen
    • 1
  1. 1.Mathematics InstituteUniversity of CopenhagenCopenhagen ØDenmark

Bibliographic information

  • DOI https://doi.org/10.1007/978-1-4612-1007-8
  • Copyright Information Springer-Verlag New York Inc. 1989
  • Publisher Name Springer, New York, NY
  • eBook Packages Springer Book Archive
  • Print ISBN 978-1-4612-6981-6
  • Online ISBN 978-1-4612-1007-8
  • Series Print ISSN 0072-5285
  • Buy this book on publisher's site