2024 : 11 : 25

Mohammad Shahriari

Academic rank: Associate Professor
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Education: PhD.
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Faculty: 1
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Research

Title
About Subspace-Frequently Hypercyclic Operators
Type
JournalPaper
Keywords
Subspace-frequently hypercyclic operators, Subspacehypercyclic operators, Frequently hypercyclic operators, Hypercyclic operators.
Year
2020
Journal Sahand Communications in Mathematical Analysis
DOI
Researchers Mansooreh Moosapour ، Mohammad Shahriari

Abstract

In this paper, we introduce subspace-frequently hypercyclic operators. We show that these operators are subspacehypercyclic 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 ⊕ T is subspace-frequently hypercyclic. Additionally, operators on finite spaces can not be subspace-frequently hypercyclic.