FREQUENTLY HYPERCYCLIC $\boldsymbol{C}$-DISTRIBUTION SEMIGROUPS AND THEIR GENERALIZATIONS

Authors

  • M. Kostić Faculty of Technical Sciences, University of Novi Sad, Serbia Author

Keywords:

$C$-distribution semigroups, integrated $C$-semigroups, $f$-frequent hypercyclicity, $q$-frequent hypercyclicity, Fr\' echet spaces

Subjects:

47A16, 47B37, 47D06

Abstract

In this paper, we introduce the notions of $f$-frequent hypercyclicity and $F$-hypercyclicity for $C$-distribution semigroups in separable Fréchet spaces. We particularly analyze the classes of $q$-frequently hypercyclic $C$-distribution semigroups ($q\geq 1$) and frequently hypercyclic $C$-distribution semigroups, providing a great number of illustrative examples.

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Published

2020-01-15

Issue

Vol. 72 No. 1 (2020): Vol. 72, Issue 1

Section

Articles

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Copyright (c) 2020 Authors retain copyright to their work.

Creative Commons License

This work is licensed under a Creative Commons Attribution 4.0 International License.