Locally convex spaces over non-archimedean valuedfields

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 thisbook easily accessible to beginners at the graduate level, as well as specialists from a variety of disciplines. INDICE: Preface; 1. Ultrametrics and valuations; 2. Normed spaces; 3. Locally convex spaces; 4. The Hahn-Banach Theorem; 5. The weak topology; 6. C-compactness; 7. Barrelledness and reflexivity; 8. Montel and nuclear spaces; 9. Spaces with an 'orthogonal' base; 10. Tensor products; 11. Inductive limits; A. Glossary of terms; B. Guide to the examples; Bibliography; Notations; Index.

• ISBN: 978-0-521-19243-9
• Editorial: Cambridge University
• Encuadernacion: Cartoné
• Páginas: 486
• Fecha Publicación: 07/01/2010
• Nº Volúmenes: 1
• Idioma: Inglés