| 关于非交换Orlicz空间的对角子代数 |
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| 引用本文： | 阿布都艾尼·阿布都热西提.关于非交换Orlicz空间的对角子代数[J].新疆大学学报(理工版),2014(4):411-414. |
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| 作者姓名： | 阿布都艾尼·阿布都热西提 |
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| 作者单位： | 新疆大学数学与系统科学学院,新疆乌鲁木齐,830046 |
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| 基金项目： | This work was Partially supported by Natural Science Foundation of the Xinjiang Uygur Autonomous Region （2013211A001）. |
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| 摘 要： | 设Φ是增长函数，M是正规有限忠实迹的von Neumann代数, A是M的一个迹子代数。首先证明了条件期望E的收缩性，其次证明了A有LΦ-分解当且仅当A是对角子代数。另外还给出了对角子代数的一些特征。
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| 关 键 词： | 迹子代数 对角子代数 环增函数 L2-稠密型 LΦ-分解 |
Characterization of Subdiagonal Algebras on Noncommutative Orlicz Spaces |
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| Abdugheni Abdurexit.Characterization of Subdiagonal Algebras on Noncommutative Orlicz Spaces[J].Journal of Xinjiang University(Science & Engineering),2014(4):411-414. |
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| Authors: | Abdugheni Abdurexit |
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| Affiliation: | Abdugheni Abdurexit (College of Mathematics and System Sciences, Xinjiang University, Urumqi Xinjiang 830046, China) |
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| Abstract: | LetΦbe a growth function, M be finite von Neumann algebra with a faithful normal tracial stateτand A be a tracial subalgebra of M. We proved contractivity of conditional expectation E and A has LΦ-factorization if and only if A is a subdiagonal algebra. We also gave some characterizations of subdiagonal algebras. |
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| Keywords: | tracial subalgebra subdiagonal algebra growth function L2-density LΦ-factorization |
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