Orderamarts: A class of asymptotic martingales

N. Ghoussoub

Journal of Multivariate Analysis, 1979, vol. 9, issue 1, 165-172

Abstract: We extend the notion of real-valued asymptotic martingales to the Banach lattice valued case. Unlike the other extensions, the notion of "orderamart" preserves the lattice property of real amarts. We show also, a Riesz decomposition, a weak and strong convergence theorem, a probabilistic characterization of A-L spaces from which we can prove that a Banach lattice with the shur property and a quasi-interior point in the dual is an l1([Gamma]).

Keywords: Orderamart; martingale; potential; Shur; property; Radon-Nikodym; property; cone; absolutely; summing; operators (search for similar items in EconPapers)
Date: 1979
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