Bounded approximation properties in non-archimedean Banach spaces

✍ Scribed by C. Perez-Garcia

• Publisher: John Wiley and Sons
• Year: 2012
• Tongue: English
• Weight: 149 KB
• Volume: 285
• Category: Article
• ISSN: 0025-584X
• DOI: 10.1002/mana.201100133

✦ Synopsis

Abstract

Some non‐archimedean bounded approximation properties are introduced and studied in this paper. As an application, an affirmative answer is given, for non‐spherically complete base fields, to the following problem, posed in 13, p. 95: Does there exist an absolutely convex edged set B in a non‐archimedean locally convex space such that its closure \documentclass{article}\usepackage{amssymb}\begin{document}\pagestyle{empty}$\overline{B}$\end{document} is not edged?