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A characterization of the Banach spaces of type \(p\) by Levy measures. (English) Zbl 0347.46016


MSC:

46B99 Normed linear spaces and Banach spaces; Banach lattices
28C20 Set functions and measures and integrals in infinite-dimensional spaces (Wiener measure, Gaussian measure, etc.)
60B99 Probability theory on algebraic and topological structures
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References:

[1] Araujo, A.P. de: On infinitely divisible laws inC[0,1]. Proc. Amer. math. Soc.51, 179-185 (1975) · Zbl 0273.46017
[2] Badrikian, A.: Prolègomènes au calcul des probabilités dans les Banach. In: Ecole d’été de Probabilités de Saint-Flour V-1975. pp. 1-166. Lecture Notes in Mathematics 539. Berlin-Heidelberg-New York: Springer 1976
[3] Dettweiler, E.: Grenzwertsätze für Wahrscheinlichkeitsmaße auf Badrikianschen Räumen. Z. Wahrscheinlichkeitstheorie verw. Gebiete34, 285-311 (1976) · Zbl 0309.60010
[4] Hoffmann-Jørgensen, J.: Sums of independent Banach space valued random variables. Studia math.52, 159-186 (1974) · Zbl 0265.60005
[5] Hoffmann-Jørgensen, J.: The strong law of large numbers and the central limit theorem in Banach spaces. In: Proceedings of the Seminar on Random Series, Convex Sets and Geometry of Banach Spaces (Aarhus 1974) pp. 74-99. Various Publications Series No. 24. Aarhus: Matematisk Institut 1975
[6] Schwartz, L.: Radon measures on arbitrary topological spaces and cylindrical measures. Oxford: Oxford University Press 1973 · Zbl 0298.28001
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