Graduate Texts in Mathematics

An Introduction to Banach Space Theory

Authors: Megginson, Robert E.

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  • ISBN 978-1-4612-0603-3
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About this Textbook

Many important reference works in Banach space theory have appeared since Banach's "Théorie des Opérations Linéaires", the impetus for the development of much of the modern theory in this field. While these works are classical starting points for the graduate student wishing to do research in Banach space theory, they can be formidable reading for the student who has just completed a course in measure theory and integration that introduces the L_p spaces and would like to know more about Banach spaces in general. The purpose of this book is to bridge this gap and provide an introduction to the basic theory of Banach spaces and functional analysis. It prepares students for further study of both the classical works and current research. It is accessible to students who understand the basic properties of L_p spaces but have not had a course in functional analysis. The book is sprinkled liberally with examples, historical notes, and references to original sources. Over 450 exercises provide supplementary examples and counterexamples and give students practice in the use of the results developed in the text.

Table of contents (5 chapters)

Table of contents (5 chapters)

Buy this book

eBook 50,28 €
price for Spain (gross)
  • ISBN 978-1-4612-0603-3
  • Digitally watermarked, DRM-free
  • Included format: PDF
  • Immediate eBook download after purchase and usable on all devices
  • Bulk discounts available
Hardcover 88,39 €
price for Spain (gross)
Softcover 62,39 €
price for Spain (gross)
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Bibliographic Information

Bibliographic Information
Book Title
An Introduction to Banach Space Theory
Authors
Series Title
Graduate Texts in Mathematics
Series Volume
183
Copyright
1998
Publisher
Springer-Verlag New York
Copyright Holder
Springer Science+Business Media New York
eBook ISBN
978-1-4612-0603-3
DOI
10.1007/978-1-4612-0603-3
Hardcover ISBN
978-0-387-98431-5
Softcover ISBN
978-1-4612-6835-2
Series ISSN
0072-5285
Edition Number
1
Number of Pages
XIX, 599
Topics