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A ratio operator limit theorem. (English) Zbl 0122.36302

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Spectrum of $L^\infty(X,\mu)$
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[1] Blackwell, D., and L. E. Dubins: A converse to the dominated convergence theorem. Ill. J. Math. (to appear). · Zbl 0146.37503
[2] Burkholder, D. L.: Successive conditional expectations of an integrable function. Ann. math. Statistics 33, 887-893 (1962). · Zbl 0128.12602 · doi:10.1214/aoms/1177704457
[3] Doob, J. L.: Stochastic processes. New York: Wiley 1952.
[4] Rota, G. C.: An ?Alternierende Verfahren? for general positive operators. Bull. Amer. math Soc. 68, 95-102 (1962). · Zbl 0116.10403 · doi:10.1090/S0002-9904-1962-10737-X
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