About Subspace-Frequently Hypercyclic Operators

Abstract

In this paper, we introduce subspace-frequently hypercyclic operators. We show that these operators are subspace-hypercyclic and there are subspace-hypercyclic operators that are not subspace-frequently hypercyclic. There is a criterion like to subspace-hypercyclicity criterion that implies subspace-frequent hypercyclicity and if an operator $T$ satisfies this criterion, then $T\oplus T$ is subspace-frequently hypercyclic. Additionally, operators on finite spaces can not be subspace-frequently hypercyclic.

Keywords

• subspace-frequently hypercyclic operators
• subspace-hypercyclic operators
• frequently hypercyclic operators
• hypercyclic operators