Integral representation theorems via Banach algebras

zbMath0428.46039MaRDI QIDQ1137224

George J. Maltese

Publication date: 1979

Published in: L'Enseignement Mathématique. 2e Série (Search for Journal in Brave)

zbMATH Keywords

commutative Banach algebraextreme pointspositive definite functionsKrein-Milman theoremintegral representationsconvex compact setconvolution algebraChoquet representation theoremFourier-Stieltjes transformsintegral representation theoremsinvolution algebrasRaikov's theoremSchoenberg- Eberlein theorem

Mathematics Subject Classification ID

General theory of commutative topological algebras (46J05) Convex sets in topological linear spaces; Choquet theory (46A55) Fourier and Fourier-Stieltjes transforms on locally compact and other abelian groups (43A25) Positive definite functions on groups, semigroups, etc. (43A35) (L^1)-algebras on groups, semigroups, etc. (43A20) Representations of commutative topological algebras (46J25)

Related Items (7)

On integral representations of linear forms ⋮ On universal Korovkin sets w. r. t positive spectral contractions ⋮ Some remarks on spectral states of LMC-algebras ⋮ On existence of finite universal Korovkin sets in the centre of group algebras ⋮ Extreme spectral states of commutative Banach algebras ⋮ On the universal convergence sets ⋮ On representability of linear functionals on *-algebras

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