Abstract
The present note aims at settling certain considerations concerning a certain type of a "generalized group algebra" considered in [4]. Given a locally compact abelian group G and a commutative complete locally m-convex algebra E, let ~:U~(G) be the space of E-valued continuous functions on G with compact support. For every continuous semi-norm p on E, x ~ p ( f ( x ) ) is a real-valued continuous function on G with compact support, for every f e off,(G), so that
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