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Bounded approximation properties in non‐archimedean Banach spaces

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  • C. Perez‐Garcia

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?

Suggested Citation

  • C. Perez‐Garcia, 2012. "Bounded approximation properties in non‐archimedean Banach spaces," Mathematische Nachrichten, Wiley Blackwell, vol. 285(10), pages 1255-1263, July.
    • Handle: RePEc:bla:mathna:v:285:y:2012:i:10:p:1255-1263
    DOI: 10.1002/mana.201100133
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