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

Lesigne, Emmanuel. "On the sequence of integer parts of a good sequence for the ergodic theorem." Commentationes Mathematicae Universitatis Carolinae 36.4 (1995): 737-743. <http://eudml.org/doc/247730>.

@article{Lesigne1995,
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.},
author = {Lesigne, Emmanuel},
journal = {Commentationes Mathematicae Universitatis Carolinae},
keywords = {ergodic theorem along subsequences; Banach principle; good averaging sequences; measure preserving flow; ergodic theorem along subsequences; Banach principle; mean ergodic theorem; pointwise ergodic theorem},
language = {eng},
number = {4},
pages = {737-743},
publisher = {Charles University in Prague, Faculty of Mathematics and Physics},
title = {On the sequence of integer parts of a good sequence for the ergodic theorem},
url = {http://eudml.org/doc/247730},
volume = {36},
year = {1995},
}

TY - JOUR
AU - Lesigne, Emmanuel
TI - On the sequence of integer parts of a good sequence for the ergodic theorem
JO - Commentationes Mathematicae Universitatis Carolinae
PY - 1995
PB - Charles University in Prague, Faculty of Mathematics and Physics
VL - 36
IS - 4
SP - 737
EP - 743
AB - 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.
LA - eng
KW - ergodic theorem along subsequences; Banach principle; good averaging sequences; measure preserving flow; ergodic theorem along subsequences; Banach principle; mean ergodic theorem; pointwise ergodic theorem
UR - http://eudml.org/doc/247730
ER -