Mean Ergodic Theorems in Hilbert-Kaplansky spaces
  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 
Farruh Shahidi and Inomjon Ganiev
math.FA math.DS