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The Riesz decomposition for vector-valued amarts. (English) Zbl 0336.60034

MSC:

60G05 Foundations of stochastic processes
60G40 Stopping times; optimal stopping problems; gambling theory
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[1] D. G. Austin, G. A. Edgar, and A. Ionescu Tulcea, Pointwise convergence in terms of expectations, Z. Wahrscheinlichkeitstheorie und Verw. Gebiete 30 (1974), 17 – 26. · Zbl 0276.60034
[2] Alexandra Bellow, On vector-valued asymptotic martingales, Proc. Nat. Acad. Sci. U. S. A. 73 (1976), no. 6, 1798 – 1799. · Zbl 0366.60067
[3] R. V. Chacon and L. Sucheston, On convergence of vector-valued asymptotic martingales, Z. Wahrscheinlichkeitstheorie und Verw. Gebiete 33 (1975/76), no. 1, 55 – 59. · Zbl 0297.60005
[4] Gerald A. Edgar and Louis Sucheston, Les amarts: une classe de martingales asymptotiques, C. R. Acad. Sci. Paris Sér. A-B 282 (1976), no. 13, Aii, A715 – A718. · Zbl 0327.60033
[5] B. J. Pettis, On integration in vector spaces, Trans. Amer. Math. Soc. 44 (1938), no. 2, 277 – 304. · Zbl 0019.41603
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