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math.FA2013
Ergodic theorems for -- contractions in Banach--Kantorovich -lattices
V. I. Chilin, I. G. Ganiev
We present versions of ergodic theorems for -- contractions in Banach--Kantorovich -lattices associated with the Maharam measure taking values in the algebra of…
math.FA2013
Weighted ergodic theorem for contractions of Orlicz-Kantorovich lattice
Inomjon Ganiev, Farrukh Mukhamedov
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 bu…