Graduate Texts in Mathematics

Topological Vector Spaces

Authors: Schaefer, H.H.

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About this Textbook

The present book is intended to be a systematic text on topological vector spaces and presupposes familiarity with the elements of general topology and linear algebra. The author has found it unnecessary to rederive these results, since they are equally basic for many other areas of mathematics, and every beginning graduate student is likely to have made their acquaintance. SimiĀ­ larly, the elementary facts on Hilbert and Banach spaces are widely known and are not discussed in detail in this book, which is mainly addressed to those readers who have attained and wish to get beyond the introductory level. The book has its origin in courses given by the author at Washington State University, the University of Michigan, and the University of Tiibingen in the years 1958-1963. At that time there existed no reasonably complete text on topological vector spaces in English, and there seemed to be a genuine need for a book on this subject. This situation changed in 1963 with the appearance of the book by Kelley, Namioka et al. [1] which, through its many elegant proofs, has had some influence on the final draft of this manuscript. Yet the two books appear to be sufficiently different in spirit and subject matter to justify the publication of this manuscript; in particular, the present book includes a discussion of topological tensor products, nuclear spaces, ordered topological vector spaces, and an appendix on positive operators.

Table of contents (5 chapters)

Table of contents (5 chapters)

Buy this book

eBook $74.99
price for USA in USD
  • ISBN 978-1-4684-9928-5
  • Digitally watermarked, DRM-free
  • Included format:
  • ebooks can be used on all reading devices
  • Immediate eBook download after purchase
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Bibliographic Information

Bibliographic Information
Book Title
Topological Vector Spaces
Authors
Series Title
Graduate Texts in Mathematics
Series Volume
3
Copyright
1971
Publisher
Springer-Verlag New York
Copyright Holder
Springer Science+Business Media New York
eBook ISBN
978-1-4684-9928-5
DOI
10.1007/978-1-4684-9928-5
Series ISSN
0072-5285
Edition Number
1
Number of Pages
XI, 296
Additional Information
Originally published by Macmillan Company 1967
Topics