Mean Ergodic Theorems in Hilbert-Kaplansky spaces

2012/08/28 by Shahidi, Farruh, Ganiev, Inomjon
#37A30 #46B42 #46E30 #46G10 #47A35 #Dynamical Systems (math.DS) #FOS: Mathematics #Functional Analysis (math.FA)

paper · doi:10.48550/arxiv.1208.5561

Abstract

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 Hilbert-Kaplansky space

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