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The cover of “Locally convex spaces over non-Archimedean valued fields” - Open Library.

"Locally convex spaces over non-Archimedean valued fields" was published by Cambridge University Press in 2010 - Cambridge, UK, it has 472 pages and the language of the book is English.


“Locally convex spaces over non-Archimedean valued fields” Metadata:

  • Title: ➤  Locally convex spaces over non-Archimedean valued fields
  • Author:
  • Language: English
  • Number of Pages: 472
  • Publisher: Cambridge University Press
  • Publish Date:
  • Publish Location: Cambridge, UK

“Locally convex spaces over non-Archimedean valued fields” Subjects and Themes:

Edition Specifications:

  • Pagination: xiv, 472 p. :

Edition Identifiers:

AI-generated Review of “Locally convex spaces over non-Archimedean valued fields”:


"Locally convex spaces over non-Archimedean valued fields" Table Of Contents:

  • 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.

"Locally convex spaces over non-Archimedean valued fields" Description:

The Open Library:

"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"--Provided by publisher. "LOCALLY CONVEX SPACES OVER NON-ARCHIMEDEAN VALUED FIELDS 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. CAMBRIDGE STUDIES IN ADVANCED MATHEMATICS"--Provided by publisher.

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