The strong dual of measure algebras with certain locally convex topologies

Authors

  • H. Javanshiri
  • R. Nasr-Isfahani

Keywords:

Measure algebra, strict topology, locally compact group, locally convex space

Abstract

For a locally compact group G, we introduce and study a class of locally convex topologies T on the measure algebra M(G) of G. In particular, we show that the strong dual of (M(G); T) 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); T). Finally, we show that the spectrum of (M(G); T) is discrete and nonempty if and only if G is finite. 10.1017/S0004972713000142

Published

2013-04-29

Issue

Vol. 87 No. 3 (2013)

Section

Articles
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