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A Hilbert Space Problem Book

  • Authors
  • Paul R. Halmos

Part of the Graduate Texts in Mathematics book series (GTM, volume 19)

Table of contents

  1. Front Matter
    Pages i-xvii
  2. Problems

    1. Front Matter
      Pages 1-1
    2. Paul R. Halmos
      Pages 3-8
    3. Paul R. Halmos
      Pages 9-11
    4. Paul R. Halmos
      Pages 12-16
    5. Paul R. Halmos
      Pages 17-22
    6. Paul R. Halmos
      Pages 23-26
    7. Paul R. Halmos
      Pages 27-32
    8. Paul R. Halmos
      Pages 33-37
    9. Paul R. Halmos
      Pages 38-40
    10. Paul R. Halmos
      Pages 41-43
    11. Paul R. Halmos
      Pages 44-46
    12. Paul R. Halmos
      Pages 47-53
    13. Paul R. Halmos
      Pages 54-58
    14. Paul R. Halmos
      Pages 59-62
    15. Paul R. Halmos
      Pages 63-65
    16. Paul R. Halmos
      Pages 66-73
    17. Paul R. Halmos
      Pages 74-76
    18. Paul R. Halmos
      Pages 77-85
    19. Paul R. Halmos
      Pages 86-89

About this book

Introduction

From the Preface: "This book was written for the active reader. The first part consists of problems, frequently preceded by definitions and motivation, and sometimes followed by corollaries and historical remarks... The second part, a very short one, consists of hints... The third part, the longest, consists of solutions: proofs, answers, or contructions, depending on the nature of the problem....

This is not an introduction to Hilbert space theory. Some knowledge of that subject is a prerequisite: at the very least, a study of the elements of Hilbert space theory should proceed concurrently with the reading of this book."

Keywords

Finite Hilbertscher Raum Isometrie Space Topology function proof

Bibliographic information

  • DOI https://doi.org/10.1007/978-1-4684-9330-6
  • Copyright Information Springer-Verlag New York 1982
  • Publisher Name Springer, New York, NY
  • eBook Packages Springer Book Archive
  • Print ISBN 978-1-4684-9332-0
  • Online ISBN 978-1-4684-9330-6
  • Series Print ISSN 0072-5285
  • Buy this book on publisher's site