TY  - BOOK
AU  - Perez-Garcia,C.
AU  - Schikhof,Wilhelmus Hendricus
TI  - Locally convex spaces over non-Archimedean valued fields
T2  - Cambridge studies in advanced mathematics
SN  - 9780511729959 (ebook)
AV  - QA322 .P425 2010
U1  - 515/.73 22
PY  - 2010///
CY  - Cambridge
PB  - Cambridge University Press
KW  - Locally convex spaces
KW  - Functional analysis
N1  - Title from publisher's bibliographic system (viewed on 05 Oct 2015); 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
N2  - 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
UR  - https://doi.org/10.1017/CBO9780511729959
ER  -