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Summability and vector amarts. (English) Zbl 0407.60043


MSC:

60G40 Stopping times; optimal stopping problems; gambling theory
60G42 Martingales with discrete parameter
60G99 Stochastic processes
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References:

[1] Bellow, A., Les amarts uniformes, C. R. Acad. Sci. Paris Ser. A, 284, 1295-1298 (1977) · Zbl 0359.60047
[2] Bellow, A., On vector-valued asymptotic martingales, (Proc. Nat. Acad. Sci. USA, 73 (1976)), 1978, 6
[3] Chacon, R. V.; Sucheston, L., On convergence of vector-valued asymptotic martingales, Z. Wahrscheinlichkeitstheorie und Verw. Gebiete, 33, 55-59 (1975) · Zbl 0297.60005
[4] Edgar, G.; Sucheston, L., The Riesz decomposition of vector valued amarts, Z. Wahrscheinlichkeitstheorie und Verw. Gebiete, 36, 85-92 (1976) · Zbl 0319.60025
[5] Edgar, G.; Sucheston, L., On vector-valued amarts and dimension of Banach spaces, Z. Wahrscheinlichkeitstheorie und Verw. Gebiete, 39, 213-216 (1977) · Zbl 0364.60075
[6] Dunford, N.; Schwartz, J. T., (Linear Operators (1958), Interscience: Interscience New York), Part I
[7] Shaefer, H. H., (Banach Lattices and Positive Operators (1974), Springer-Verlag: Springer-Verlag New York, Heidelberg, Berlin)
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