Disjoint mixing weighted backward shifts on the space of all complex valued square summable sequences

作者：Zhang Liang; Zhou Ze Hua^*

来源：Journal of Computational Analysis and Applications, 2014, 16(4): 618-625.

• Hypercyclic operator
• disjoint mixing operator
• weighted backward shifts
• sequence spaces

We characterize when N-tuples, B-a1(r1), ... , B-aN(TN) of powers of unilateral weighted backward shift operators defined the space of all complex valued square summable sequences exhibit the d-mixing properties, and give several equivalent conditions of d-mixing properties. At the same time, d-mixing powers of bilateral weighted backward shifts on Banach sequence spaces are also discussed in this paper.

• 出版日期2014-5
• 单位天津大学