Bounded approximation properties in non‐archimedean Banach spaces

C. Perez‐Garcia

Mathematische Nachrichten, 2012, vol. 285, issue 10, 1255-1263

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?

Date: 2012
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