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Operator limit theorems
NORTON STARR(i) 0. Introduction.In this paper certain almost everywhere convergence and maximal theorems are proved, extending a type of limit theorem developed by Rota [22] and generalized by Doob [9].Given a sequence {T"}™=1 of linear operators on Lp(X,lZ,p) into itself for some pe [1, oo) and some totally ¡j-finite positive …