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http://dx.doi.org/10.4134/CKMS.c170245

ON WEIGHTED AND PSEUDO-WEIGHTED SPECTRA OF BOUNDED OPERATORS  

Athmouni, Nassim (Department of Mathematics Faculty of Sciences of Gafsa University of Gafsa)
Baloudi, Hatem (Department of Mathematics Faculty of Sciences of Gafsa University of Gafsa)
Jeribi, Aref (Department of Mathematics Faculty of Sciences of Sfax University of Sfax)
Kacem, Ghazi (Department of Mathematics Faculty of Sciences of Sfax University of Sfax)
Publication Information
Communications of the Korean Mathematical Society / v.33, no.3, 2018 , pp. 809-821 More about this Journal
Abstract
In the present paper, we extend the main results of Jeribi in [6] to weighted and pseudo-weighted spectra of operators in a nonseparable 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;
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