This is an announcement for the paper "Forme equivalente `a la condition $\Delta_2 $ et certains r'esultats de s'eparations dans les espaces modulaires" by A.Hajji.

Abstract: In this paper, we present an equivalent form of the $\Delta_2 $-condition which allow us to redefine the topological vector space structure of a modular spaces using the \ filter base. We show also the characterization of closed subsets (in the sens of this topology ) of a modular spaces which permit us to establish some separation results in modular spaces

Archive classification: Functional Analysis

Remarks: 11p,pas de figure

The source file(s), E12.tex: 25102 bytes, is(are) stored in gzipped form as 3013999.gz with size 7kb. The corresponding postcript file has gzipped size 41kb.

Submitted from: lphe@fsr.ac.ma

The paper may be downloaded from the archive by web browser from URL

http://front.math.ucdavis.edu/math.FA/0509482

or

http://arXiv.org/abs/math.FA/0509482

or by email in unzipped form by transmitting an empty message with subject line

uget 0509482

or in gzipped form by using subject line

get 0509482

to: math@arXiv.org.