×

Mesures de probabilité sur l’espace de Banach \(C_0 [0,1]\). (French) Zbl 0116.35503

In previous papers [C. R. Acad. Sci., Paris 245, 813–816 (1957; Zbl 0080.11901); 246, 3401–3404 (1958; Zbl 0081.13103); J. Math. Pur. Appl. (9) 39, 119–163 (1960; Zbl 0094.31702)] a method was given for constructing probability measures on the Banach space \(C_0 [0,1]\), starting from the approximation of the functions of this space by certain expressions. In this paper equivalent criteria are obtained by considering a different manner of approximation.
Reviewer: Radu Theodorescu

MSC:

60Bxx Probability theory on algebraic and topological structures
PDFBibTeX XMLCite