TY - JOUR AU - Biström, P. AU - Jaramillo Aguado, Jesús Ángel PY - 1994 SN - 0025-5521 UR - https://hdl.handle.net/20.500.14352/57614 T2 - Mathematica Scandinavica 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)... LA - eng M2 - 82 PB - Matematisk Institut KW - C1-bounding sets KW - compactness TI - C-Infinity-Bounding Sets and Compactness TY - journal article VL - 75 ER -