On noncommutative weighted local ergodic theorems
| dc.creator | Mukhamedov, Farrukh | |
| dc.creator | Karimov, Abdusalom | |
| dc.date | 2007-01-15 | |
| dc.date | 2007-07-27 | |
| dc.date.accessioned | 2026-07-07T08:44:06Z | |
| dc.date.available | 2026-07-07T08:44:06Z | |
| dc.description | In the present paper we consider a von Neumann algebra M with a faithful normal semi-finite trace $\t$, and $\{α_ t\} $ a strongly continuous extension to $L^p(M,\t)$ of a semigroup of absolute contractions on $L^1 (M,τ)$. By means of a non-commutative Banach Principle we prove for a Besicovitch function b and $x\in L^p(M,\t)$, the averages \frac{1}{T}\int_0^Tb(t)\a_t(x)dt converge bilateral almost uniform in $L^p(M,\t)$ as $T\to 0$. | |
| dc.description | 11 pages. submitted | |
| dc.identifier | https://arxiv.org/abs/math/0701415 | |
| dc.identifier | http://arxiv.org/abs/math/0701415 | |
| dc.identifier | Periodica Math. Hungarica, 55(2007), 223--235 | |
| dc.identifier.uri | http://salesiana.dossiersoluciones.com/handle/123456789/142543 | |
| dc.subject | Operator Algebras | |
| dc.subject | Functional Analysis | |
| dc.subject | 46L50, 46L55, 46L53, 47A35, 35A99 | |
| dc.title | On noncommutative weighted local ergodic theorems | |
| dc.type | text |