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arxiv: 1110.1145 · v1 · pith:ZWJF2UHBnew · submitted 2011-10-06 · 🧮 math.FA · math.DS

Weighted ergodic theorems for Banach-Kantorovich lattice L_(p)(hat{nabla},hat{μ})

classification 🧮 math.FA math.DS
keywords ergodictheoremsweightedbanach-kantorovichnablaactingbundlescontractions
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In the present paper we prove weighted ergodic theorems and multiparameter weighted ergodic theorems for positive contractions acting on $L_p(\hat{\nabla},\hat{\mu})$. Our main tool is the use of methods of measurable bundles of Banach-Kantorovich lattices.

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