engleski

A generalization of Beck"s strong law of large numbers

In this paper we generalize the well known strong law of large number due to A. Beck. Instead of usual Cesaro $(c, 1)$ summability of a sequence $(X_n, n in {; f N};)$, of independent random elements in a reflexive Banach space, we consider the problem of summability of this sequence by strongly regular matrices.

strongly regular matrix; Banach space; random element; measure preserving transformation; ergodic transformation

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