A Representation Theorem and Applications to Topological Groups

DOI10.2307/1999886zbMath0447.43001OpenAlexW4250119529MaRDI QIDQ3892726

Jean-Marc Belley

Publication date: 1980

Full work available at URL: https://doi.org/10.2307/1999886

zbMATH Keywords

Bohr compactificationalgebras of setsintegral representation of linear functionalsfinitely additive set functions

Mathematics Subject Classification ID

Integration with respect to measures and other set functions (28A25) Measures on groups and semigroups, etc. (43A05) Fourier and Fourier-Stieltjes transforms on locally compact and other abelian groups (43A25) Positive definite functions on groups, semigroups, etc. (43A35) Almost periodic functions on groups and semigroups and their generalizations (recurrent functions, distal functions, etc.); almost automorphic functions (43A60)

Related Items (1)

A measure invariant under group endomorphisms

Cites Work

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• On the representation of linear functionals by finitely additive set functions
• A Finitely Additive Generalization of the Fichtenholz-Lichtenstein Theorem
• A unified approach to Riesz type representation theorems
• Lattice-Valued Borel Measures. II
• Further results on integral representations
• A Note on Abstract Integration
• Quelques classes de problèmes extrémaux. II
• Linear Functionals on Almost Periodic Functions
• Linear Functionals and Content
• On Universally Integrable Functions

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