The strong dual of measure algebras with certain locally convex topologies

摘要

For a locally compact group G, we introduce and study a class of locally convex topologies τ on the measure algebra M(G) of G. In particular, we show that the strong dual of (M(G), τ) can be identified with a closed subspace of the Banach space M(G)* we also investigate some properties of the locally convex space (M(G), τ).