A Theorem on Algebras of Measures on Topological Groups

J. H. Williamson

doi:10.1017/S0013091500021908

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Let G be a locally compact Abelian group, and the set of bounded complex (regular countably-additive Borel) measures on G. It is well known that becomes a Banach space if the norm is defined by

the supremum being over all finite sets of disjoint Borel subsets of G.

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A Theorem on Algebras of Measures on Topological Groups

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