Mathematics – Functional Analysis
Scientific paper
2005-09-21
Mathematics
Functional Analysis
11p,pas de figure
Scientific paper
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
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