It is introduced an open class of linear operators on Banach spaces such that their non-wandering set is an infinite dimensional topologically mixing subspace, where the periodic points are dense (in particular, they are frequently hypercyclic on the non-wandering set when the Banach space is separable). It is also characterized when the non-wandering set coincides with the whole space.

中文翻译：

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广义双曲线性算子的动力学

它在 Banach 空间上引入了一类开放的线性算子，使得它们的非游荡集是一个无限维拓扑混合子空间，其中周期点是密集的（特别是，当 Banach空间是可分离的）。当非流浪集与整个空间重合时，它也具有特征。