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math.FA2012★ 1 cited
Mean Ergodic Theorems in Hilbert-Kaplansky spaces
Farruh Shahidi, Inomjon Ganiev
We prove the mean ergodic theorem of von Neumann in a Hilbert-Kaplansky space. We also prove a multiparameter, modulated, subsequential and a weighted mean ergodic theorems in a Hi…
math.FA2012
Vector Valued Martingale-Ergodic and Ergodic-Martingale Theorems
Farruh Shahidi, Inomjon Ganiev
We prove martingale-ergodic and ergodic-martingale theorems for vector valued Bochner integrable functions. We obtain dominant and maximal inequalities. We also prove weighted and…