Communications of the
Korean Mathematical Society
CKMS

ISSN(Print) 1225-1763 ISSN(Online) 2234-3024

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Commun. Korean Math. Soc. 2023; 38(4): 1029-1044

Online first article October 16, 2023      Printed October 31, 2023

https://doi.org/10.4134/CKMS.c220019

Copyright © The Korean Mathematical Society.

Joint essential numerical spectrum and Jeribi essential numerical spectrum of linear operators in Banach spaces

Bouthaina Abdelhedi, Wissal Boubaker, Nedra Moalla

University of Sfax; University of Sfax; University of Sfax

Abstract

The purpose of this paper is to introduce the concept of joint essential numerical spectrum $\sigma_{en}(\cdot)$ of $q$-tuple of operators on a Banach space and to study its properties. This notion generalize the notion of the joint essential numerical range.

Keywords: Joint numerical spectrum, joint numerical range, joint essential numerical range

MSC numbers: 47A10, 47A12, 47A13, 47A55

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