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arxiv: 1208.5561 · v1 · pith:D5PWSWSEnew · submitted 2012-08-28 · 🧮 math.FA · math.DS

Mean Ergodic Theorems in Hilbert-Kaplansky spaces

classification 🧮 math.FA math.DS
keywords ergodichilbert-kaplanskymeanprovespacetheoremsmodulatedmultiparameter
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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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