Locally convex spaces over Non-Archimedean valued fields

• Verfasst von: Perez-Garcia, C.
• Verfasst von: Pérez-Garciá, Carlos
• Verfasst von: Schikhof, Wilhelmus Hendricus
• Titel: Locally convex spaces over Non-Archimedean valued fields
• Verf.angabe: C. Perez-Garcia; W. H. Schikhof
• Ausgabe: 1. publ.
• Verlagsort: Cambridge [u.a.]
• Verlag: Cambridge Univ. Press
• Jahr: 2010
• Umfang: XIV, 472 S
• Illustrationen: graph. Darst.
• Gesamttitel/Reihe: Cambridge studies in advanced mathematics ; 119
• Fussnoten: Literaturverz. S.457 - 467
• ISBN: 0-521-19243-9
• ISBN: 978-0-521-19243-9
• Schlagwörter: (s)Nichtarchimedisch geordneter Körper / (s)Lokalkonvexer Raum
• Sprache: eng
• Reproduktion: Online-Ausg.: Perez-Garcia, C.: Locally convex spaces over non-Archimedean valued fields. - Cambridge: Cambridge University Press, 2010. - 1 online resource (xiv, 472 pages)
• RVK-Notation: SK 600
• Sach-SW: Locally convex spaces
• Sach-SW: Valued fields
• K10plus-PPN: 609432265

Abstract

"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"--Provided by publisher