ON FREQUENTLY HYPERCYCLIC C-DISTRIBUTION COSINE FUNCTIONS IN FRECHET SPACES

Authors

DOI:

https://doi.org/10.37560/matbil18200019k​

Keywords:

\(C\)-distribution cosine functions, integrated \(C\)-cosine functions, \(C\)-distribution semigroups, integrated \(C\)-semigroups, frequent hypercyclicity

Abstract

In this paper, we analyze frequently hypercyclic \(C\)-distribution cosine functions in separable infinite-dimensional complex Fréchet spaces. The notion of frequent hypercyclicity seems to be new even for cosine operator functions in separable infinite-dimensional Banach spaces (real or complex). Our results, formulated also in terms of global fractionally integrated \(C\)-cosine functions, are illustrated with several instructive examples.

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Published

2018-01-01

Issue

Vol. 42 No. 2 (2018): 42 (LXVIII) 2 (2018)

Section

Articles

License

Copyright (c) 2018 Matematichki Bilten

Creative Commons License

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

How to Cite

[1]
M. Kostić, “ON FREQUENTLY HYPERCYCLIC C-DISTRIBUTION COSINE FUNCTIONS IN FRECHET SPACES”, Mat. Bilt., vol. 42, no. 2, pp. 19–34, Jan. 2018, doi: 10.37560/matbil18200019k​.