Communications of the
Korean Mathematical Society CKMS

ISSN(Print) 1225-1763 ISSN(Online) 2234-3024
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Commun. Korean Math. Soc. 2019; 34(1): 145-154

Online first article January 15, 2019      Printed January 31, 2019

https://doi.org/10.4134/CKMS.c170178

Copyright © The Korean Mathematical Society.

On some properties of $J$-class operators

Meysam Asadipour, Bahmann Yousefi

Yasouj University, Yasouj; Payame Noor University

Abstract

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The notion of hypercyclicity was localized by $J$-sets and in this paper, we will investigate for an equivalent condition through the use of open sets. Also, we will give a $ J$-class criterion, that gives conditions under which an operator belongs to the $J$-class of operators.

Keywords: $J$-class operators, hypercyclic operators, topologically transitive operators

MSC numbers: Primary 47A16; Secondary 37B99, 54H20

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