Communications of the
Korean Mathematical Society
CKMS

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

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Commun. Korean Math. Soc. 2018; 33(3): 809-821

Online first article April 6, 2018      Printed July 31, 2018

https://doi.org/10.4134/CKMS.c170245

Copyright © The Korean Mathematical Society.

On weighted and pseudo-weighted spectra of bounded operators

Nassim Athmouni, Hatem Baloudi, Aref Jeribi, Ghazi Kacem

University of Gafsa, University of Gafsa, University of Sfax, University of Sfax

Abstract

In the present paper, we extend the main results of Jeribi in \cite{1} to weighted and pseudo-weighted spectra of operators in a non-separable Hilbert space $\mathcal{H}$. We investigate the characterization, the stability and some properties of these weighted and pseudo-weighted spectra.

Keywords: Fredholm operators, $\alpha$-Fredholm operator, pseudo-spectrum, weighted spectrum

MSC numbers: 47A53, 47A53, 47A55, 82D75

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