caa a22 4500 46317156X CHVBK 20180406164814.0 cr unu---uuuuu 170326e20071101xx s 000 0 eng 10.1007/s10998-007-4223-7 doi (NATIONALLICENCE)springer-10.1007/s10998-007-4223-7 On noncommutative weighted local ergodic theorems on L p -spaces [Elektronische Daten] [Farrukh Mukhamedov, Abdusalom Karimov] In the present paper we consider a von Neumann algebra M with a faithful normal semi-finite trace τ, and {α t }, a strongly continuous extension to L p (M, τ) 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 ∊ L p (M, τ), that the averages 1/T ∫ 0 T b(t)α t (x)dt converge bilateral almost uniformly in L p (M, τ) as T → 0. Springer Science+Business Media B.V., 2007 local ergodic theorem nationallicence the Banach Principle nationallicence Besicovitch function nationallicence Mukhamedov Farrukh Department of Computational & Theoretical Sciences Faculty of Sciences, International Islamic University Malaysia, P.O. Box, 141, 25710, Kuantan, Pahang, Malaysia aut Karimov Abdusalom Department of Mathematics, Tashkent Institute of Textile and Light Industry, 700100, Tashkent, Uzbekistan aut Periodica Mathematica Hungarica Springer Netherlands 55/2(2007-11-01), 223-235 0031-5303 55:2<223 2007 55 10998 https://doi.org/10.1007/s10998-007-4223-7 text/html Onlinezugriff via DOI 1 research-article jats NATIONALLICENCE 856 40 https://doi.org/10.1007/s10998-007-4223-7 text/html Onlinezugriff via DOI NATIONALLICENCE 700 1- Mukhamedov Farrukh Department of Computational & Theoretical Sciences Faculty of Sciences, International Islamic University Malaysia, P.O. Box, 141, 25710, Kuantan, Pahang, Malaysia aut NATIONALLICENCE 700 1- Karimov Abdusalom Department of Mathematics, Tashkent Institute of Textile and Light Industry, 700100, Tashkent, Uzbekistan aut NATIONALLICENCE 773 0- Periodica Mathematica Hungarica Springer Netherlands 55/2(2007-11-01), 223-235 0031-5303 55:2<223 2007 55 10998 Metadata rights reserved Springer special CC-BY-NC licence nationallicence BK010053 XK010053 XK010000 NATIONALLICENCE NATIONALLICENCE NL-springer