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Dynamics of generalized hyperbolic linear operators
Advances in Mathematics ( IF 1.5 ) Pub Date : 2021-06-11 , DOI: 10.1016/j.aim.2021.107830 Patricia Cirilo , Bryce Gollobit , Enrique Pujals
中文翻译:
广义双曲线性算子的动力学
更新日期:2021-06-11
Advances in Mathematics ( IF 1.5 ) Pub Date : 2021-06-11 , DOI: 10.1016/j.aim.2021.107830 Patricia Cirilo , Bryce Gollobit , Enrique Pujals
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:
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。