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The Measure Algebra of a Locally Compact Group

<p> Let G be a locally compact group (= locally compact Hausdorff topological group). By the measure algebra of G we mean the Banach *-algebra M(G) of bounded regular Borel measures on G. The major results of this work are a structure theorem for norm decreasing isomorphisms of measure algebras, and a characterization of those Banach algebras which are isometric and isomorphic to the measure algebra of some locally
compact group. We also obtain some results on subalgebras of
M(G) and on representations of G.</p> / Thesis / Doctor of Philosophy (PhD)

Identiferoai:union.ndltd.org:mcmaster.ca/oai:macsphere.mcmaster.ca:11375/20048
Date05 1900
CreatorsRigelhof, Roger Philip
ContributorsHusain, T., Mathematics
Source SetsMcMaster University
Languageen_US
Detected LanguageEnglish
TypeThesis

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