Geodesic
On Strictly Weakly Mixing $C^*$-Dynamical Systems
Funkcionalʹnyj analiz i ego priloženiâ, Tome 41 (2007) no. 4, pp. 79-82

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We consider strictly ergodic and strictly weakly mixing $C^*$-dynamical systems. We establish that a system is strictly weakly mixing if and only if its tensor product is strictly ergodic and strictly weakly mixing. We also investigate some weighted uniform ergodic theorem with respect to $S$-Besicovitch sequences for strictly weakly mixing dynamical systems.
Keywords: strict ergodicity, strictly weak mixing, $C^*$-dynamical system, $S$-Besicovitch sequence. 
@article{FAA_2007_41_4_a7,
     author = {F. M. Mukhamedov},
     title = {On {Strictly} {Weakly} {Mixing} $C^*${-Dynamical} {Systems}},
     journal = {Funkcionalʹnyj analiz i ego prilo\v{z}eni\^a},
     pages = {79--82},
     publisher = {mathdoc},
     volume = {41},
     number = {4},
     year = {2007},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/FAA_2007_41_4_a7/}
}
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F. M. Mukhamedov. On Strictly Weakly Mixing $C^*$-Dynamical Systems. Funkcionalʹnyj analiz i ego priloženiâ, Tome 41 (2007) no. 4, pp. 79-82. http://geodesic.mathdoc.fr/item/FAA_2007_41_4_a7/