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∑(X)上权移位算子的不变分布混沌性

On the Invariance of Maximal Distributional Chaos of Weighted Shift Operators on ∑(X)
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摘要 该文证明对任意0<ε<2,赋范线性空间∑(X)上权移位算子B_w存在不可数不变分布ε-不规则集,进而推广了文献[27,32]的主要结果. This paper proves that the weighted shift operator B_w on an normed linear space∑(X) admits an invariant distributionally ε-scrambled set for any 0 ε 2, improving the main results of [27, 32].
作者 王建军 Wang Jianjun(School of Sciences,Sichuan Agricultural University,Sichuan Ya'an 625013)
出处 《数学物理学报(A辑)》 CSCD 北大核心 2018年第3期446-453,共8页 Acta Mathematica Scientia
基金 四川省教育厅青年基金(14ZB0007)~~
关键词 权移位算子 分布ε-混沌集 分布混沌集 Weighted shift operator Wistributional c-chaos Distributionally scrambled set.
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