About Subspace-Frequently Hypercyclic Operators

Publish Year: 1399
نوع سند: مقاله ژورنالی
زبان: English
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شناسه ملی سند علمی:

JR_SCMA-17-3_006

تاریخ نمایه سازی: 27 اردیبهشت 1400

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.

Authors

Mansooreh Moosapoor

Assistant Professor, Department of Mathematics, Farhangian University, Tehran, Iran.

Mohammad Shahriari

Department of Mathematics, Faculty of Science, University of Maragheh, P.O. Box۵۵۱۸۱-۸۳۱۱۱, Maragheh, Iran.

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