∑(X)上权移位算子的不变分布混沌性

数学物理学报 ›› 2018, Vol. 38 ›› Issue (3): 446-453.

∑(X)上权移位算子的不变分布混沌性

王建军

四川农业大学理学院四川雅安 625014

收稿日期:2017-03-31 修回日期:2017-10-13 出版日期:2018-06-26 发布日期:2018-06-26
作者简介:王建军,E-mail:jianjunw55@163.com
基金资助:
四川省教育厅青年基金（14ZB0007）

On the Invariance of Maximal Distributional Chaos of Weighted Shift Operators on ∑(X)

Wang Jianjun

School of Sciences, Sichuan Agricultural University, Sichuan Ya'an 625014

Received:2017-03-31 Revised:2017-10-13 Online:2018-06-26 Published:2018-06-26
Supported by:
Supported by the Scientific Research Fund of Sichuan Provincial Education Department (14ZB0007)

摘要/Abstract

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.

关键词: 权移位算子, 分布ε-混沌集, 分布混沌集

Abstract: 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].

Key words: Weighted shift operator, Wistributional ε-chaos, Distributionally scrambled set

中图分类号:

O415.5

王建军. ∑(X)上权移位算子的不变分布混沌性[J]. 数学物理学报, 2018, 38(3): 446-453.

Wang Jianjun. On the Invariance of Maximal Distributional Chaos of Weighted Shift Operators on ∑(X)[J]. Acta mathematica scientia,Series A, 2018, 38(3): 446-453.

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