On ergodic type theorems for strictly weak mixing C^*-dynamical systems

2026-07-072026-07-07http://salesiana.dossiersoluciones.com/handle/123456789/144421We prove that unique ergodicity of tensor product of $C^*$-dynamical system implies its strictly weak mixing. By means of this result a uniform weighted ergodic theorem with respect to $S$-Besicovitch sequences for strictly weak mixing dynamical systems is proved. Moreover, we provide certain examples of strictly weak mixing dynamical systems.12 pagesOperator AlgebrasFunctional Analysis46L35, 46L55, 46L51, 28D05On ergodic type theorems for strictly weak mixing C^*-dynamical systemstext