%0 Journal Article
%T 由 n×n 上三角Toeplitz矩阵所构成的 超循环矩阵族<br>Hypercyclic Tuple of n\times n Upper Triangular Toeplitz Matrices
%A 舒永录
%A 王　伟
%A 王兴忠
%J 数学年刊（A辑）
%D 2018
%R 10.16205/j.cnki.cama.2018.0005
%X 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.<br>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.
%K 超循环算子
%K 超循环算子族
%K 上三角Toeplitz复矩阵&lt
%K br&gt
%K Hypercyclic operator
%K Hypercyclic tuple
%K Upper triangular Toeplitz Matrix
%U http://www.camath.fudan.edu.cn/camacn/ch/reader/view_abstract.aspx?file_no=39A105&flag=1