%0 Journal Article
%A Biström, P.
%A Jaramillo Aguado, Jesús Ángel
%T C-Infinity-Bounding Sets and Compactness
%D 1994
%@ 0025-5521
%U https://hdl.handle.net/20.500.14352/57614
%X In this article it is proved that any set in a real Banach space on which the C-infinity-functions are bounded, is relatively compact. In particular, for any real Banach space E, a sequence (x(n)) convergences to x in E if and only if f(x(n)) --> S(x) for all f is an element of C-infinity(E).
%~