Locally convex spaces over non-Archimedean valued fields [E-Book] / C. Perez-Garcia, W.H. Schikhof.
Perez-Garcia, C., (author)
Schikhof, Wilhelmus Hendricus, (author)
Cambridge : Cambridge University Press, 2010
1 online resource (xiv, 472 pages)
englisch
9780511729959
9780521192439
Cambridge studies in advanced mathematics ; 119
Full Text
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245 1 0 |a Locally convex spaces over non-Archimedean valued fields  |h [E-Book] /  |c C. Perez-Garcia, W.H. Schikhof. 
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490 |a Cambridge studies in advanced mathematics ;  |v 119 
500 |a englisch 
505 0 |a Ultrametrics and valuations -- Normed spaces -- Locally convex spaces -- The Hahn-Banach theorem -- The weak topology -- C-compactness -- Barrelledness and reflexivity -- Montel and nuclear spaces -- Spaces with an "orthogonal" base -- Tensor products -- Inductive limits. 
520 |a 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. 
650 0 |a Locally convex spaces. 
650 0 |a Functional analysis. 
700 1 |a Schikhof, Wilhelmus Hendricus,  |e author 
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