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)
Cambridge studies in advanced mathematics ; 119
Full Text
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.