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Determination and study of positive forms on spaces of functions. II. (English) Zbl 0285.46017


MSC:

46E10 Topological linear spaces of continuous, differentiable or analytic functions
28A10 Real- or complex-valued set functions
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References:

[1] Choquet, G., Le problème des moments, (Séminaire Choquet, lère année (1961)), n∘ 4
[2] Choquet, G., Mesures coniques, affines et cylindriques, Istituto naz. di alta mat., (Symposia Math., II (1968)), 145-182 · Zbl 0187.06901
[3] Choquet, G., Formes linéaires positives sur les espaces de fonctions. II. Pseudo-mesures, C. R. Acad.Sci., 271, 828-831 (1970) · Zbl 0211.15003
[4] Edwards, D. A.; Tulcea, C. T.Ionescu, Some remarks on commutative algebras of operators on Banach spaces, Trans. Amer. Math. Soc., 93, 541-551 (1959) · Zbl 0096.08204
[5] Gillman, L.; Jerison, M., Rings of Continuous Functions (1960), Van Nostrand: Van Nostrand New York · Zbl 0093.30001
[6] Bonsall, F. F.; Lindenstrauss, J.; Phelps, R. R., Extreme operators on algebras of functions, Math. Scand., 18, 161-182 (1966) · Zbl 0149.34002
[7] Phelps, R., Extreme positive operators and homomorphisms, Trans. Amer. Math. Soc., 108, 265-274 (1963) · Zbl 0119.10702
[8] M. Leduc; M. Leduc · Zbl 0172.41202
[9] Portenier, C., Espaces de Riesz, espaces de fonctions et espaces de sections, Comm. Math. Helv., 46, 289-313 (1971) · Zbl 0209.43405
[10] Portenier, C., Formes linéaires positives et mesures, and Caractérisation de certains espaces de Riesz, (Séminaire d’Initiation à l’Analyse. Séminaire d’Initiation à l’Analyse, Paris (1970)), n∘ 6 · Zbl 0209.43405
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