Full paper in PDF:
$%S. Díaz, A. Fernández, M. Florencio, and P. J. Paúl, The space of countably simple bounded
functions with values in a DF-space, Rev. Mat. Univ. Complut. Madrid 7 (1994), no. 2, 219–232.%$
The Space of Countably Simple Bounded
Functions with Values in a DF-space
Santiago DíAZ, Antonio FERNÁNDEZ
LÓPEZ,
Miguel FLORENCIO, and Pedro J. PAÚL
E.S. Ingenieros Industriales
Avda. Reina Mercedes s/n
41012 Sevilla — Spain
Received: January 7, 1993
Revised: June 1, 1993
ABSTRACT
We study the possibility of lifting some properties, as being a (barreled,
quasi-barreled, bornological, or ultrabornological) DF, gDF, or quasi-normable
space, from a locally convex space
to the space
, of
countably-valued and bounded (classes of
-a.e. equal) functions from a
measure space
into .
1991 Mathematics Subject Classification: 46A04, 46A08, 46E30, 46E40.