Weighted ergodic theorem for contractions of Orlicz-Kantorovich lattice $L_M(\hat{\nabla },\hat{\mu }$

Abstract

In the present paper we prove Besocovich weighted ergodic theorem for positive contractions acting on Orlich-Kantorovich space. Our main tool is the use of methods of measurable bundles of Banach-Kantorovich lattices.

10 pages. arXiv admin note: substantial text overlap with arXiv:1110.1145