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
[3] Doob, J. L., Stochastic processes (1952), New York: Wiley, New York
[4] Rota, G. C., An „Alternierende Verfahren“ for general positive operators, Bull. Amer. math Soc., 68, 95-102 (1962) · Zbl 0116.10403
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