Admissibility, the locally convex approximation property, and the 𝐴𝑅-property in linear metric spaces

Nhu, Nguyen To

doi:10.1090/S0002-9939-1995-1246533-8

Admissibility, the locally convex approximation property, and the $\textrm {AR}$-property in linear metric spaces
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Proc. Amer. Math. Soc. 123 (1995), 3233-3241 Request permission

Abstract:

We introduce the notion of the locally convex approximation property (the LCAP) for convex sets in linear metric spaces. The LCAP is an extension of the notion of admissibility of Klee. We prove that any convex set with the LCAP is an AR.

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