FREQUENTLY HYPERCYCLIC 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 (q1) and frequently hypercyclic C-distribution semigroups, providing a great number of illustrative examples.

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Published

2020-01-15