Weighted ergodic theorem for contractions of Orlicz-Kantorovich lattice L_M(∇,μ

2013/05/16 by Inomjon Ganiev, Farrukh Mukhamedov, Ganiev, Inomjon +1
Mathematics · #37A30 #46B42 #46E30 #46G10 #47A35 #Dynamical Systems (math.DS) #FOS: Mathematics #Functional Analysis (math.FA) #advanced mathematical theories #math.DS #math.FA #msc:37A30 #msc:46B42 #msc:46E30 #msc:46G10 #msc:47A35

paper · pdf · doi:10.48550/arxiv.1305.3666

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

arxiv created 2013/05/16 · openalex publication_date 2013/05/16 · arxiv updated 2013/05/17 · openalex created_date 2022/08/30 · openalex updated_date 2026/07/28

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.

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