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Mesures stochastiques à valeurs dans des espaces \(L_0\). (French) Zbl 0354.60004


MSC:

60B05 Probability measures on topological spaces
60H05 Stochastic integrals
28A25 Integration with respect to measures and other set functions
28C20 Set functions and measures and integrals in infinite-dimensional spaces (Wiener measure, Gaussian measure, etc.)
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[1] Bartle, R.G.: A general bilinear vector integral. Studia math. 15, 337-352 (1956) · Zbl 0070.28102
[2] Bourbaki, N.: Espaces vectoriels topologiques. Paris: Hermann 1967 · Zbl 0042.35302
[3] Matuszewska, W., Orlicz, W.: A note on modular spaces IX. Bull. Acad. Polon. Sci. Sér. Sci. math. XVI, 10, 1968 · Zbl 0164.43002
[4] Metivier, M.: Advances in the theory of stochastic integrals. Invited lecture to appear in 7th Prague Conference on Information Theory · Zbl 0412.60064
[5] Metivier, M.: Un théorème de Riesz pour les mesures stochastiques multi-indices. C.R. Acad. Sci. Paris 281, Sér. A, 277-280 (1975) · Zbl 0324.60043
[6] Pellaumail, J.: Sur l’intégrale stochastique et la décomposition de Doob-Meyer. Astérisque N? 9, Société Mathématique de France, 1973
[7] Pellaumail, J.: Intégrale de Daniell à valeurs dans un groupe. Rev. Roumaine Math. Pures Appl. XVI, 8, 1227-1236 (1971) · Zbl 0223.28011
[8] Pisier, G.: Séminaire Maurey-Schwartz. 1973-1974, exposé N?VI, Ecole Polytechnique
[9] Sion, M.: Outer measures with values in a topological group. Proc. London math. Soc. (3) 19, 89-106, 1969 · Zbl 0167.14503
[10] Turpin, P.: Suites sommables dans certains espaces de fonctions mesurables. C.R. Acad. Sci. Paris Sér. A, 280, 349-352 (1975) · Zbl 0298.46029
[11] Turpin, P.: Convexité dans les espaces vectoriels topologiques généraux. Thèse-Orsay 1974
[12] Drewnowski, L.: Topological rings of sets, continuous set functions, integration. I, II, III, Bull. Acad. Polon. Sci. 22, pp. 269-286 et 439-445 (1972) · Zbl 0249.28005
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