On integral representation and the Choquet boundary for convolution algebras of measures

DOI10.1007/BF01299297zbMath0474.46045OpenAlexW2092355314MaRDI QIDQ1159355

Susanna Papadopoulou, Gunter Ritter

Publication date: 1982

Published in: Monatshefte für Mathematik (Search for Journal in Brave)

Full work available at URL: https://eudml.org/doc/178067

zbMATH Keywords

generalized charactersChoquet boundary of a convolution algebra of measuresrepresentation of normalized positive definite functions on an abelian locally compact grouptheorem of Bochner's type

Mathematics Subject Classification ID

Convolution as an integral transform (44A35) Ideals, maximal ideals, boundaries (46J20) Spaces of measures (46E27) Positive definite functions on groups, semigroups, etc. (43A35) Integration theory via linear functionals (Radon measures, Daniell integrals, etc.), representing set functions and measures (28C05)

Related Items (1)

Finite universal Korovkin systems in tensor products of commutative Banach algebras

Cites Work

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• Šilovscher Rand und Dirichletsches Problem
• A class of multiplicative linear functionals on the measure algebra of a locally compact abelian group
• The ideal space and Silov boundary of a subalgebra of measures on a group
• Convolutions of Continuous Measures and Sets of Nonsynthesis
• Systèmes projectifs d'ensembles convexes compacts
• The Structure of Convolution Measure Algebras
• On the Silov Boundary of a Measure Algebra

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