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Graduate Texts in Mathematics
cover

A Course in Functional Analysis

Authors: Conway, J.B.

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  • ISBN 978-1-4757-4383-8
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Hardcover 65,47 €
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  • ISBN 978-0-387-97245-9
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Softcover 65,47 €
price for Spain (gross)
  • ISBN 978-1-4419-3092-7
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  • Usually dispatched within 3 to 5 business days.
  • The final prices may differ from the prices shown due to specifics of VAT rules
About this Textbook

Functional analysis has become a sufficiently large area of mathematics that it is possible to find two research mathematicians, both of whom call themselves functional analysts, who have great difficulty understanding the work of the other. The common thread is the existence of a linear space with a topology or two (or more). Here the paths diverge in the choice of how that topology is defined and in whether to study the geometry of the linear space, or the linear operators on the space, or both. In this book I have tried to follow the common thread rather than any special topic. I have included some topics that a few years ago might have been thought of as specialized but which impress me as interesting and basic. Near the end of this work I gave into my natural temptation and included some operator theory that, though basic for operator theory, might be considered specialized by some functional analysts.

About the authors

    

Reviews

Second Edition

J.B. Conway

A Course in Functional Analysis

"This book is an excellent text for a first graduate course in functional analysis . . . Many interesting and important applications are included . . . This book is a fine piece of work. It includes an abundance of exercises, and is written in the engaging and lucid style which we have come to expect from the author."

—MATHEMATICAL REVIEWS

From the reviews of the second edition:

“This book should be in the library of anyone teaching functional analysis or who wants a working mathematician’s masterfully developed course on functional analysis … . This book is a comprehensive introduction to functional analysis. … I definitely recommend this book to anyone who really want/need to learn true functional analysis for graduate work.” (Philosophy, Religion and Science Book Reviews, bookinspections.wordpress.com, October, 2013)


Table of contents (11 chapters)

Table of contents (11 chapters)
  • Hilbert Spaces

    Pages 1-25

    Conway, John B.

  • Operators on Hilbert Space

    Pages 26-62

    Conway, John B.

  • Banach Spaces

    Pages 63-98

    Conway, John B.

  • Locally Convex Spaces

    Pages 99-123

    Conway, John B.

  • Weak Topologies

    Pages 124-165

    Conway, John B.

Buy this book

eBook 52,99 €
price for Spain (gross)
  • ISBN 978-1-4757-4383-8
  • Digitally watermarked, DRM-free
  • Included format: PDF
  • ebooks can be used on all reading devices
  • Immediate eBook download after purchase
Hardcover 65,47 €
price for Spain (gross)
  • ISBN 978-0-387-97245-9
  • Free shipping for individuals worldwide
  • Usually dispatched within 3 to 5 business days.
  • The final prices may differ from the prices shown due to specifics of VAT rules
Softcover 65,47 €
price for Spain (gross)
  • ISBN 978-1-4419-3092-7
  • Free shipping for individuals worldwide
  • Usually dispatched within 3 to 5 business days.
  • The final prices may differ from the prices shown due to specifics of VAT rules
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Bibliographic Information

Bibliographic Information
Book Title
A Course in Functional Analysis
Authors
Series Title
Graduate Texts in Mathematics
Series Volume
96
Copyright
2007
Publisher
Springer-Verlag New York
Copyright Holder
Springer-Verlag New York
eBook ISBN
978-1-4757-4383-8
DOI
10.1007/978-1-4757-4383-8
Hardcover ISBN
978-0-387-97245-9
Softcover ISBN
978-1-4419-3092-7
Series ISSN
0072-5285
Edition Number
2
Number of Pages
XVI, 400
Topics