Locally Convex Spaces over Non-Archimedean Valued Fields
Part of Cambridge Studies in Advanced Mathematics
- Authors:
- C. Perez-Garcia, Universidad de Cantabria, Spain
- W. H. Schikhof, Radboud Universiteit Nijmegen
- Date Published: January 2010
- availability: Available
- format: Hardback
- isbn: 9780521192439
Hardback
Other available formats:
eBook
Looking for an inspection copy?
This title is not currently available on inspection
-
Non-Archimedean functional analysis, where alternative but equally valid number systems such as p-adic numbers are fundamental, is a fast-growing discipline widely used not just within pure mathematics, but also applied in other sciences, including physics, biology and chemistry. This book is the first to provide a comprehensive treatment of non-Archimedean locally convex spaces. The authors provide a clear exposition of the basic theory, together with complete proofs and new results from the latest research. A guide to the many illustrative examples provided, end-of-chapter notes and glossary of terms all make this book easily accessible to beginners at the graduate level, as well as specialists from a variety of disciplines.
Read more- The first book to offer complete coverage of non-Archimedean local convexity
- Readily accessible to graduate students and interested researchers from various disciplines
- Assumes only a basic background in linear algebra, analysis and topology
Reviews & endorsements
'The book under review is, in my opinion, the best of the existing books on the theory of non-Archimedean locally convex spaces. It contains most of the known results which are published in the area. The book is self-contained and only basic knowledge of linear algebra, analysis and topology are needed to read it. It could be used by graduate students as well as by researchers in mathematical analysis and in other areas.' Mathematical Reviews
Customer reviews
Not yet reviewed
Be the first to review
Review was not posted due to profanity
×Product details
- Date Published: January 2010
- format: Hardback
- isbn: 9780521192439
- length: 486 pages
- dimensions: 234 x 155 x 27 mm
- weight: 0.8kg
- contains: 12 exercises
- availability: Available
Table of Contents
Preface
1. Ultrametrics and valuations
2. Normed spaces
3. Locally convex spaces
4. The Hahn-Banach Theorem
5. The weak topology
6. C-compactness
7. Barrelledness and reflexivity
8. Montel and nuclear spaces
9. Spaces with an 'orthogonal' base
10. Tensor products
11. Inductive limits
A. Glossary of terms
B. Guide to the examples
Bibliography
Notations
Index.
Related Books
related journals
Sorry, this resource is locked
Please register or sign in to request access. If you are having problems accessing these resources please email lecturers@cambridge.org
Register Sign in» Proceed
You are now leaving the Cambridge University Press website. Your eBook purchase and download will be completed by our partner www.ebooks.com. Please see the permission section of the www.ebooks.com catalogue page for details of the print & copy limits on our eBooks.
Continue ×Are you sure you want to delete your account?
This cannot be undone.
Thank you for your feedback which will help us improve our service.
If you requested a response, we will make sure to get back to you shortly.
×