On the sequence of integer parts of a good sequence for the ergodic theorem
Lesigne, Emmanuel
Commentationes Mathematicae Universitatis Carolinae, Tome 36 (1995), p. 737-743 / Harvested from Czech Digital Mathematics Library
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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.

Publié le : 1995-01-01
Classification:  28D10,  40A30,  60F25 
@article{118801,
     author = {Emmanuel Lesigne},
     title = {On the sequence of integer parts of a good sequence for the ergodic theorem},
     journal = {Commentationes Mathematicae Universitatis Carolinae},
     volume = {36},
     year = {1995},
     pages = {737-743},
     zbl = {0868.28010},
     mrnumber = {1378695},
     language = {en},
     url = {http://dml.mathdoc.fr/item/118801}
}

Lesigne, Emmanuel. On the sequence of integer parts of a good sequence for the ergodic theorem. Commentationes Mathematicae Universitatis Carolinae, Tome 36 (1995) pp. 737-743. http://gdmltest.u-ga.fr/item/118801/

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