Frequently supercyclic operators and frequently supercyclic C0-semigroups

Mansooreh Moosapoor

doi:10.5269/bspm.67430

Mansooreh Moosapoor Farhangian University

Abstract

In this paper, the concept of frequent supercyclicity for operators and for C0-semigroups is defined. It is proved that if an operator T is frequently supercyclic, then T^n and {\lambda}T are frequently supercyclic for any natural number n and any non-zero scalar {\lambda}. Also, it is established that frequent supercyclicity of
a C0-semigroup implies frequent supercyclicity of any of their operators. Moreover, by using discretization and autonomous discretization of a C0-semigroup, some equivalent conditions for frequent supercyclicity are stated.

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