TY - GEN AU - Perez-Garcia, C. AU - Schikhof, Wilhelmus Hendricus. TI - Locally convex spaces over non-Archimedean valued fields SN - 9780521192439 U1 - 515.73 PY - 2010/// CY - Cambridge PB - Cambridge University Press KW - Locally convex spaces KW - Functional analysis KW - Analysis KW - Mathematics N1 - Includes bibliographical references and index N2 - 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. ER -