ON WEIGHTED AND PSEUDO-WEIGHTED SPECTRA OF BOUNDED OPERATORS

Nassim Athmouni (1) , Hatem Baloudi (1) , Aref Jeribi (1) , Ghazi Kacem (1)

1 FSS - Faculté des Sciences de Sfax

In the present paper, we extend the mains results of Jeribi in [6] to weighted and pseudo-weighted spectra of operatorsin a non separable Hilbert space H. We investigate the characterization, the stability and some properties of these weighted and pseudo-weighted spectra.

Mots clés: α-Fredholm operator; pseudo-spectrum; Weighted spectrum; Fredholm operators

Domaines: Mathématiques [math]

Nassim Athmouni, Hatem Baloudi, Aref Jeribi, Ghazi Kacem. ON WEIGHTED AND PSEUDO-WEIGHTED SPECTRA OF BOUNDED OPERATORS. Communications of the Korean Mathematical Society, 2018, 33 (3), pp.809-821. ⟨10.4134/CKMS.c170245⟩. ⟨hal-01473516v2⟩