Locally Convex Spaces Over Non-Archimedean Valued Fields

Informationen zum Autor C. Perez-Garcia is Professor in the Department of Mathematics, Statistics and Computation at the University of Cantabria, Spain. W. H. Schikhof worked as a Professor at Radboud University Nijmegen, Netherlands for forty years. He has since retired but is still active in mathematical research. Klappentext A comprehensive, self-contained treatment of non-Archimedean functional analysis, with an emphasis on locally convex space theory. Zusammenfassung This self-contained treatment of the theory of non-Archimedean locally convex spaces provides a clear exposition of the theory! together with complete proofs. A guide to examples and glossary of terms make the book easily accessible to beginners at the graduate level as well as specialists from various disciplines. Inhaltsverzeichnis 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.

Produktdetails

• Autoren: C. Perez-Garcia, C. (Universidad De Cantabria Perez-Garcia, C. Schikhof Perez-Garcia, Perez-Garcia C., W. H. Schikhof, W. H. (Radboud Universiteit Nijmegen) Schikhof, Schikhof W. H.
• Verlag: Cambridge University Press ELT
• Sprache: Englisch
• Produktform: Fester Einband
• Erschienen: 07.01.2010
• EAN: 9780521192439
• ISBN: 978-0-521-19243-9
• Seiten: 486
• Serien: Cambridge Studies in Advanced; Cambridge Studies in Advanced Mathematics; Cambridge Studies in Advanced
• Themen: Naturwissenschaften, Medizin, Informatik, Technik > Mathematik > Analysis; MATHEMATICS / Algebra / Abstract, Functional analysis & transforms, Functional analysis and transforms