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The lattice property of uniform amarts. (English) Zbl 0684.60033

The main result states that if a Banach lattice E is isomorphic to \(\ell^ 1\) then the \(L^ 1\)-bounded uniform amarts form a vector lattice.
Reviewer: J.Szulga

MSC:

60G40 Stopping times; optimal stopping problems; gambling theory
60G42 Martingales with discrete parameter
60G48 Generalizations of martingales
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