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.
Nassim Athmouni, Hatem Baloudi, Aref Jeribi, Ghazi Kacem
University of Gafsa, University of Gafsa, University of Sfax, University of Sfax
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
2019; 34(4): 1229-1243
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