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

preprint2011arXivOpen access

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

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

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Weighted ergodic theorems for Banach-Kantorovich lattice Lp(∇^,μ^)L_{p}(\hat{\nabla},\hatμ)Lp​(∇^,μ^​)

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