The aim of the present paper is to introduce a metric locally convex topology on the space δE = E − E of δ-psh functions in the Cegrell class E . We prove that with this topology δE is a non-separable and non-reflexive Fréchet space. At the same time, we extend the Monge-Ampère operator from the class E to δE .
Mathematics Subject Classification (2000). 32U05, 32U20, 32U35, 32U40.