Weighted ergodic theorem for contractions of Orlicz-Kantorovich lattice L_M(N,m)

In the present paper we prove a Besicovich 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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Butiran Bibliografi
Pengarang-pengarang Utama: Mukhamedov, Farrukh, Ganiev, Inomjon
Format: Artikel
Bahasa:English
English
English
Diterbitkan: School of Mathematical Sciences, Universiti Sains Malaysia 2015
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Capaian Atas Talian:http://irep.iium.edu.my/41668/
http://irep.iium.edu.my/41668/
http://irep.iium.edu.my/41668/
http://irep.iium.edu.my/41668/1/mfig-BMMSS%282015%29.pdf
http://irep.iium.edu.my/41668/4/41668_Weighted%20ergodic%20theorem%20for_Scopus.pdf
http://irep.iium.edu.my/41668/5/41668_Weighted%20ergodic%20theorem%20for_WOS.pdf
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Ringkasan:In the present paper we prove a Besicovich 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.