On Noncommutative Weighted Local Ergodic Theorems
نویسندگان
چکیده
In the present paper we consider a von Neumann algebra M with a faithful normal semi-finite trace τ , and {αt} a strongly continuous extension to L(M, τ ) of a semigroup of absolute contractions on L(M, τ ). By means of a non-commutative Banach Principle we prove for a Besicovitch function b and x ∈ L(M, τ ), the averages 1 T Z T 0 b(t)αt(x)dt converge bilateral almost uniform in L(M, τ ) as T → 0. Mathematics Subject Classification: 46L50, 46L55, 46L53, 47A35, 35A99.
منابع مشابه
On Noncommutative Weighted Local Ergodic Theorems on L-spaces Farrukh Mukhamedov and Abdusalom Karimov
In the present paper we consider a von Neumann algebra M with a faithful normal semi-finite trace τ , and {αt} a strongly continuous extension to L(M, τ ) of a semigroup of absolute contractions on L(M, τ ). By means of a non-commutative Banach Principle we prove for a Besicovitch function b and x ∈ L(M, τ ), the averages 1 T Z T 0 b(t)αt(x)dt converge bilateral almost uniform in L(M, τ ) as T ...
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