Subject: C0-Semigroups on complex sectors , F-Frequent hypercyclicity , f -Frequent hypercyclicity, Translation semigroups and semigroups induced by semiflows, Fréchet spaces
Year: 2020
Type: Article
Title: f-frequently hypercyclic C0-semigroups on complex sectors
Author: Belkacem Chaouchi, Marko Kostic, Stevan Pilipovic, Daniel Velinov
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.
Publisher: SPRINGER BASEL AG
Relation: Banach Journal of Mathematical Analysis
Identifier: oai:repository.ukim.mk:20.500.12188/11972
Identifier: http://hdl.handle.net/20.500.12188/11972Identifier: https://doi.org/10.1007/s43037-020-00053-2
