RT Journal Article
T1 C-Infinity-Bounding Sets and Compactness
A1 Biström, P.
A1 Jaramillo Aguado, Jesús Ángel
AB 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).
PB Matematisk Institut
SN 0025-5521
YR 1994
FD 1994
LK https://hdl.handle.net/20.500.14352/57614
UL https://hdl.handle.net/20.500.14352/57614
LA eng
NO DGIGYT (Spain)
DS Docta Complutense
RD 21 ene 2026