$f$-Frequently hypercyclic $C_{0}$-semigroups on complex sectors
Functional Analysis
2018-08-06 v1
Abstract
We analyze -frequently hypercyclic, -frequently hypercyclic () and frequently hypercyclic -semigroups () defined on complex sectors, working in the setting of separable infinite-dimensional Fr\'echet spaces. Some structural results of ours are given for a general class of -frequently hypercyclic -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.
Cite
@article{arxiv.1808.01255,
title = {$f$-Frequently hypercyclic $C_{0}$-semigroups on complex sectors},
author = {Belkacem Chaouchi and Marko Kosti\' c and Stevan Pilipovi\' c and Daniel Velinov},
journal= {arXiv preprint arXiv:1808.01255},
year = {2018}
}