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

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

2011-10-06

arxiv.org/abs/1110.1145v1

Mathematics

Functional Analysis

11 pages

Scientific paper

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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