Emmanuel Lesigne
On the sequence of integer parts of a good sequence for the ergodic theorem

Comment.Math.Univ.Carolinae 36,4 (1995) 737-743.

Abstract:If $(u_n)$ is a sequence of real numbers which is good for the ergodic theorem, is the sequence of the integer parts $([u_n])$ good for the ergodic theorem ? The answer is negative for the mean ergodic theorem and affirmative for the pointwise ergodic theorem.

Keywords: ergodic theorem along subsequences, Banach principle
AMS Subject Classification: 28D

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