线性算子不变集上的混沌行为
Chaotic behaviour on invariant sets of linear operators
AI总结：
该研究探讨带不变集的拓扑向量空间上算子的多种混沌与混合性质，建立了不变集上的相关性质与其闭张成空间上类似性质的关联，并给出示例说明结果。
摘要：
我们研究带不变集的拓扑向量空间上算子的超循环性、Devaney混沌、拓扑混合性质以及测度论意义下的强混合性。更确切地说，我们的目标是建立在某些不变集上满足上述任一性质的事实，与该不变集的闭张成空间上的类似性质之间的关联。我们还给出了阐释这些结果的例子。
英文摘要：
We study hypercyclicity, Devaney chaos, topological mixing properties and strong mixing in the measure-theoretic sense for operators on topological vector spaces with invariant sets. More precisely, our purpose is to establish links between the fact of satisfying any of these properties on certain invariant sets, and the analogous property on the closed span of the invariant set. We also give examples that illustrate these results.
机构、总结、中文摘要均由AI分析而来，可能存在错误，请以论文正文为准。
