Document Type: Research Paper
Authors
- Mansooreh Moosapoor ^{} ^{1}
- Mohammad Shahriari ^{2}
^{1} Assistant Professor, Department of Mathematics, Farhangian University, Tehran, Iran.
^{2} Department of Mathematics, Faculty of Science, University of Maragheh, P.O. Box55181-83111, Maragheh, Iran.
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
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