Martingale convergence theorems for sequences of Stone algebras
Glasgow mathematical journal, Tome 10 (1969) no. 1, pp. 77-83

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A vector lattice W is boundedly complete when each subset {aj:j ∊ J} of W which is bounded above by an element of W has a least upper bound in W. The least upper bound of {aj:j ∊ J} is denoted by and the greatest lower bound by whenever these exist.
Wright, J. D. Maitland. Martingale convergence theorems for sequences of Stone algebras. Glasgow mathematical journal, Tome 10 (1969) no. 1, pp. 77-83. doi: 10.1017/S0017089500000586
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[1] 1.Andersen, E. Sparre and Jessen, B., Some limit theorems on set functions, Mat.-Fys. Medd. Danske Vid. Selsk. 25 (1948), No. 5. Google Scholar

[2] 2.Doob, J. L., Stochastic processes (Wiley, New York, 1953). Google Scholar

[3] 3.Floyd, E. E., Boolean algebras with pathological order topologies, Pacific J. Math. 5 (1955), 687–689. Google Scholar | DOI

[4] 4.Stone, M. H., Boundedness properties in function lattices, Canad. J. Math. 1 (1949), 176–186. Google Scholar | DOI

[5] 5.Wright, J. D. Maitland, Stone algebra valued measures and integrals, Proc. London Math. Soc.; to appear Google Scholar

[6] 6.Wright, J. D. Maitland, A Radon-Nikodym theorem for Stone algebra valued measures, Trans. Amer. Math. Soc; to appear. Google Scholar

[7] 7.Wright, J. D. Maitland, Applications to averaging operators of the theory of Stone algebra valued measure, Quart. J. Math. Oxford Ser. (2) 19 (1968), 321–331. Google Scholar | DOI

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