f-frequently hypercyclic C0-semigroups on complex sectors
Journal
Banach Journal of Mathematical Analysis
Date Issued
2020-02-04
Author(s)
Belkacem Chaouchi, Marko Kostic, Stevan Pilipovic, Daniel Velinov
DOI
https://doi.org/10.1007/s43037-020-00053-2
Abstract
We analyze f -frequently hypercyclic, q-frequently hypercyclic (q > 1), and frequently
hypercyclic C0-semigroups (q = 1) defined on complex sectors, with values
in separable infinite-dimensional Fréchet spaces. Some structural results are given for
a general class of F-frequently hypercyclic C0-semigroups, as well. We investigate
generalized frequently hypercyclic translation semigroups and generalized frequently
hypercyclic semigroups induced by semiflows on weighted function spaces. Several
illustrative examples are presented.
hypercyclic C0-semigroups (q = 1) defined on complex sectors, with values
in separable infinite-dimensional Fréchet spaces. Some structural results are given for
a general class of F-frequently hypercyclic C0-semigroups, as well. We investigate
generalized frequently hypercyclic translation semigroups and generalized frequently
hypercyclic semigroups induced by semiflows on weighted function spaces. Several
illustrative examples are presented.
Subjects