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.