TY - JOUR
T1 - On multiparameter weighted ergodic theorem for noncommutative Lp-spaces
AU - Mukhamedov, Farrukh
AU - Mukhamedov, Maksut
AU - Temir, Seyit
N1 - Funding Information:
The first author is partially supported by FCT grant SFRH/BPD/17419/2004. The authors also would like to thank the referee for his useful suggestions which allowed us to improve the text of the paper.
PY - 2008/7/1
Y1 - 2008/7/1
N2 - In the paper we consider T1, ..., Td absolute contractions of von Neumann algebra M with normal, semifinite, faithful trace, and prove that for every bounded Besicovitch weight {a (k)}k ∈ Nd and every x ∈ Lp (M) (p > 1) the averagesAN (x) = frac(1, | N |) underover(∑, k = 1, N) a (k) Tk (x) converge bilaterally almost uniformly in Lp (M).
AB - In the paper we consider T1, ..., Td absolute contractions of von Neumann algebra M with normal, semifinite, faithful trace, and prove that for every bounded Besicovitch weight {a (k)}k ∈ Nd and every x ∈ Lp (M) (p > 1) the averagesAN (x) = frac(1, | N |) underover(∑, k = 1, N) a (k) Tk (x) converge bilaterally almost uniformly in Lp (M).
KW - Besicovitch weights
KW - Bilaterally almost uniformly
KW - Ergodic theorem
KW - Noncommutative
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U2 - 10.1016/j.jmaa.2008.01.054
DO - 10.1016/j.jmaa.2008.01.054
M3 - Article
AN - SCOPUS:41449104091
SN - 0022-247X
VL - 343
SP - 226
EP - 232
JO - Journal of Mathematical Analysis and Applications
JF - Journal of Mathematical Analysis and Applications
IS - 1
ER -