Exercises in Functional Analysis

  • Constantin Costara
  • Dumitru Popa

Part of the Kluwer Texts in the Mathematical Sciences book series (TMS, volume 26)

Table of contents

  1. Front Matter
    Pages i-x
  2. Normed spaces

    1. Front Matter
      Pages 1-1
    2. Constantin Costara, Dumitru Popa
      Pages 3-35
    3. Constantin Costara, Dumitru Popa
      Pages 36-67
    4. Constantin Costara, Dumitru Popa
      Pages 68-85
    5. Constantin Costara, Dumitru Popa
      Pages 86-106
    6. Constantin Costara, Dumitru Popa
      Pages 107-146
    7. Constantin Costara, Dumitru Popa
      Pages 147-174
    8. Constantin Costara, Dumitru Popa
      Pages 175-194
    9. Constantin Costara, Dumitru Popa
      Pages 195-212
    10. Constantin Costara, Dumitru Popa
      Pages 213-240
  3. Hilbert spaces

    1. Front Matter
      Pages 241-241
    2. Constantin Costara, Dumitru Popa
      Pages 243-270
    3. Constantin Costara, Dumitru Popa
      Pages 271-304
    4. Constantin Costara, Dumitru Popa
      Pages 305-365
  4. General topological spaces

    1. Front Matter
      Pages 366-366
    2. Constantin Costara, Dumitru Popa
      Pages 368-402
    3. Constantin Costara, Dumitru Popa
      Pages 403-443
  5. Back Matter
    Pages 444-454

About this book

Introduction

The understanding of results and notions for a student in mathematics requires solving ex­ ercises. The exercises are also meant to test the reader's understanding of the text material, and to enhance the skill in doing calculations. This book is written with these three things in mind. It is a collection of more than 450 exercises in Functional Analysis, meant to help a student understand much better the basic facts which are usually presented in an introductory course in Functional Analysis. Another goal of this book is to help the reader to understand the richness of ideas and techniques which Functional Analysis offers, by providing various exercises, from different topics, from simple ones to, perhaps, more difficult ones. We also hope that some of the exercises herein can be of some help to the teacher of Functional Analysis as seminar tools, and to anyone who is interested in seeing some applications of Functional Analysis. To what extent we have managed to achieve these goals is for the reader to decide.

Keywords

Hilbert space banach spaces boundary element method compactness function functional functional analysis graph locally convex space mathematics presentation sets techniques theorem tool

Authors and affiliations

  • Constantin Costara
    • 1
  • Dumitru Popa
    • 1
  1. 1.Department of MathematicsOvidius University of ConstantaConstantaRomania

Bibliographic information

  • DOI https://doi.org/10.1007/978-94-017-0223-2
  • Copyright Information Springer Science+Business Media B.V. 2003
  • Publisher Name Springer, Dordrecht
  • eBook Packages Springer Book Archive
  • Print ISBN 978-90-481-6399-1
  • Online ISBN 978-94-017-0223-2
  • Series Print ISSN 0927-4529
  • About this book