Weighted Ergodic Theorem for Contractions of Orlicz–Kantorovich lattice \(L_{M}(\widehat{\

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• 作者：Inomjon Ganiev ; Farrukh Mukhamedov
• 关键词：Orlich–Kantorovich lattice ; Positive contraction ; Weighted ergodic theorem ; 37A30 ; 47A35 ; 46B42 ; 46E30 ; 46G10
• 刊名：Bulletin of the Malaysian Mathematical Sciences Society
• 出版年：2015
• 出版时间：January 2015
• 年：2015
• 卷：38
• 期：1
• 页码：387-397
• 全文大小：231 KB
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• 作者单位：Inomjon Ganiev (1)
  Farrukh Mukhamedov (2)
  
  1. Department of Science in Engineering, Faculty of Engineering, International Islamic University Malaysia, P.O. Box 10, 50728, Kuala-Lumpur, Malaysia
  2. Department of Computational & Theoretical Sciences, Faculty of Science, International Islamic University Malaysia, P.O. Box 141, 25710, Kuantan, Pahang, Malaysia
  
• 刊物类别：Mathematics, general; Applications of Mathematics;
• 刊物主题：Mathematics, general; Applications of Mathematics;
• 出版者：Springer Singapore
• ISSN：2180-4206

文摘

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. Keywords Orlich–Kantorovich lattice Positive contraction Weighted ergodic theorem