非交换Orlicz空间的个体遍历定理 |
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引用本文: | 萨吉代姆·吐尔洪,吐尔德别克. 非交换Orlicz空间的个体遍历定理[J]. 新疆大学学报(理工版), 2014, 0(3): 295-298,330 |
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作者姓名: | 萨吉代姆·吐尔洪 吐尔德别克 |
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作者单位: | 新疆大学数学与系统科学学院 |
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基金项目: | Supported by Natural Science Foundation of the Xinjiang Uygur Autonomous Region(2013211A001) |
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摘 要: | 设(M,τ)是半有限vonNeumann代数,Φ是N函数.证明了非交换Orlicz空间L^Φ(M)的个体遍历定理.
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关 键 词: | 非交换Orlicz空间 个体遍历定理 依测度一致等度连续 |
Individual Ergodic Theorems for Noncommutative Orlicz Space |
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Affiliation: | Sajida Turgun;Turdebek N Bekjan;College of Mathematics and System Sciences, Xinjiang University; |
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Abstract: | Let(M, τ) be a semifinite von Neumann algebra and Φ be an N-function. We proved individual ergodic theorem in the noncommutative Orlicz space L^Φ(M). |
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Keywords: | Noncommutative orlicz space Individual ergodic theorem Uniformly equicontinuous in measure |
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