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arXiv · 1808.01255

$f$-Frequently hypercyclic $C_{0}$-semigroups on complex sectors

Belkacem Chaouchi·Marko Kosti\' c·Stevan Pilipovi\' c·Daniel Velinov
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Abstract

We analyze $f$-frequently hypercyclic, $q$-frequently hypercyclic ($q> 1$) and frequently hypercyclic $C_{0}$-semigroups ($q=1$) 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 ${\mathcal F}$-frequently hypercyclic $C_{0}$-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.

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Belkacem Chaouchi, Marko Kosti\' c, Stevan Pilipovi\' c, Daniel Velinov. 2018-08-03. $f$-Frequently hypercyclic $C_{0}$-semigroups on complex sectors. https://arxiv.org/abs/1808.01255

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