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arxiv: 1305.3666 · v1 · pith:IWTOPXEYnew · submitted 2013-05-16 · 🧮 math.FA · math.DS

Weighted ergodic theorem for contractions of Orlicz-Kantorovich lattice L_(M)(hat{nabla},hat{μ}

classification 🧮 math.FA math.DS
keywords contractionsergodictheoremweightedactingbanach-kantorovichbesocovichbundles
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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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