Texts in the Mathematical Sciences

Exercises in Functional Analysis

Authors: Costara, Constantin, Popa, D.

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eBook $69.99
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  • ISBN 978-94-017-0223-2
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Hardcover $99.00
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  • ISBN 978-1-4020-1560-1
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About this book

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.

Reviews

From the reviews:

"The present book is one of the few books available with problems in functional analysis. … the authors have done a good job in crediting the original sources of the problems. … The layout and the exposition of the book is very good. The book will be of great help to graduate students in mathematics … . will also be very helpful to research mathematicians in analysis … . I strongly recommend the book to any person who is interested in analysis and its applications." (C. D. Aliprantis, Mathematical Reviews, Issue 2005 b)


Table of contents (14 chapters)

  • Open, closed, and bounded sets in normed spaces

    Costara, Constantin (et al.)

    Pages 3-35

  • Linear and continuous operators on normed spaces

    Costara, Constantin (et al.)

    Pages 36-67

  • Linear and continuous functionals. Reflexive spaces

    Costara, Constantin (et al.)

    Pages 68-85

  • The distance between sets in Banach spaces

    Costara, Constantin (et al.)

    Pages 86-106

  • Compactness in Banach spaces. Compact operators

    Costara, Constantin (et al.)

    Pages 107-146

Buy this book

eBook $69.99
price for USA (gross)
  • ISBN 978-94-017-0223-2
  • Digitally watermarked, DRM-free
  • Included format: PDF
  • ebooks can be used on all reading devices
  • Immediate eBook download after purchase
Hardcover $99.00
price for USA
  • ISBN 978-1-4020-1560-1
  • Free shipping for individuals worldwide
  • Usually dispatched within 3 to 5 business days.
Softcover $99.00
price for USA
  • ISBN 978-90-481-6399-1
  • Free shipping for individuals worldwide
  • Usually dispatched within 3 to 5 business days.
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Bibliographic Information

Bibliographic Information
Book Title
Exercises in Functional Analysis
Authors
Series Title
Texts in the Mathematical Sciences
Series Volume
26
Copyright
2003
Publisher
Springer Netherlands
Copyright Holder
Springer Science+Business Media B.V.
eBook ISBN
978-94-017-0223-2
DOI
10.1007/978-94-017-0223-2
Hardcover ISBN
978-1-4020-1560-1
Softcover ISBN
978-90-481-6399-1
Series ISSN
0927-4529
Edition Number
1
Number of Pages
X, 454
Topics