| 舒永录,王 伟,王兴忠.由 n×n 上三角Toeplitz矩阵所构成的 超循环矩阵族[J].数学年刊A辑,2018,39(1):43~52 |
| 由 n×n 上三角Toeplitz矩阵所构成的 超循环矩阵族 |
| Hypercyclic Tuple of n\times n Upper Triangular Toeplitz Matrices |
| Received:July 28, 2015 Revised:June 30, 2016 |
| DOI：10.16205/j.cnki.cama.2018.0005 |
| 中文关键词: 超循环算子, 超循环算子族, 上三角Toeplitz复矩阵 |
| 英文关键词:Hypercyclic operator, Hypercyclic tuple, Upper triangular Toeplitz Matrix |
| 基金项目:本文受到国家自然科学基金(No.11271387), 重庆市自然科学基金(No.cstc2013jjB0050)
和重庆市项目(No.1020709520130059)的资助. |
| Author Name | Affiliation | E-mail | | SHU Yonglu | Center of Mathematics, Chongqing University, Chongqing 401331, China. | shuyonglu@cqu.edu.cn | | WANG Wei | College of Mathematics and Information Science, Henan Normal University, Xinxiang 453007, Henan, China. | wangwei005c@126.com | | WANG Xingzhong | College of Mathematics and Statistics, Chongqing University, Chongqing 401331, China. | wmd070925@sina.com |
|
| Hits: 722 |
| Download times: 1220 |
| 中文摘要: |
| 在Feldman和Costakis所做的结果的基础上, 进一步考虑了超循环算子族的一些问题.
设$\mathcal{T}=(T_{1},\cdots,T_{m})$是一组由$m$个上三角Toeplitz复矩阵构成的矩阵组,
给出了一个$\mathcal{T}$是超循环的充分必要条件. |
| 英文摘要: |
| In this paper, based on the results of Feldman and Costakis,
the authors consider the problem of hypercyclic tuple operators.
Let $\mathcal{T}=(T_{1},\cdots,T_{m})$ be a tuple of $n\times n$
complex upper triangular Toeplitz matrices. A necessary
and sufficient condition for the tuple to be hypercyclic is obtained. |
| View Full Text View/Add Comment Download reader |
| Close |
|
|
|
|
|
