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http://hdl.handle.net/20.500.12188/11972| Title: | f-frequently hypercyclic C0-semigroups on complex sectors | Authors: | Belkacem Chaouchi, Marko Kostic, Stevan Pilipovic, Daniel Velinov | Keywords: | C0-Semigroups on complex sectors , F-Frequent hypercyclicity , f -Frequent hypercyclicity, Translation semigroups and semigroups induced by semiflows, Fréchet spaces | Issue Date: | 4-Feb-2020 | Publisher: | SPRINGER BASEL AG | Journal: | Banach Journal of Mathematical Analysis | 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. | URI: | http://hdl.handle.net/20.500.12188/11972 | DOI: | https://doi.org/10.1007/s43037-020-00053-2 |
| Appears in Collections: | Faculty of Civil Engineering: Journal Articles |
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