The Space of Countably Simple Bounded Functions with Values in a DF-Space

Abstract

DIAZ, A. FERNÁNDEZ, M. FLORENCIO and EJ. PAÚLABSTRÁCT. We study the posibility of lifting sorne properties, as heing a (barrelled, quasi-barrelled, bornological or ultrabornological) DF, gDF or quasí-normable space, frorn a locally convex space E te thé space S~0 (pi, E), of countably-valued and beunded (classes of pi-a.e. equal) functions frorn a zueasure space (fl,Z,p) into E.