论文标题
部分可观测时空混沌系统的无模型预测
Supercyclic vectors of operators on normed linear spaces
论文作者
论文摘要
我们对Faghih-Ahmadi和Hedayatian提出的有关超级环保媒介的问题给出了肯定的答案。我们表明，如果$ \ MATHCAL X $是无限维度的线性线性空间，而$ t $是$ \ Mathcal X $的超级环保操作员，那么对于任何超级环保矢量$ x $ for $ t $来说，存在严格增加的序列$（n_k）_k $的正整数$}的$ n y _k $ a; k \ ge 1 \} $不是整个$ \ mathcal x $。
We give an affirmative answer to a question asked by Faghih-Ahmadi and Hedayatian regarding supercyclic vectors. We show that if $\mathcal X$ is an infinite-dimensional normed linear space and $T$ is a supercyclic operator on $\mathcal X$, then for any supercyclic vector $x$ for $T$, there exists a strictly increasing sequence $(n_k)_k$ of positive integers such that the closed linear span of the set $\{T^{n_k}x: k\ge 1\}$ is not the whole $\mathcal X$.
