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| Titel: |
Perturbation results for Weyl type theorems |
| Auteur: |
M. Berkani H. Zariouh |
| Verschenen in: |
Acta mathematica Universitatis Comenianae |
| Paginering: | Jaargang LXXX (2011) nr. 1 pagina's 119-132 |
| Jaar: |
2011 |
| Inhoud: |
In [12] we introduced and studied properties (gab) and (gaw), which are extensions to the context of B-Fredholm theory, of properties (ab) and (aw) respectively introduced also in [12]. In this paper we continue the study of these properties and we consider their stability under commuting finite rank, compact and nilpotent perturbations. Among other results, we prove that if T is a bounded linear operator acting on a Banach space X, then T possesses property (gaw) if and only if T satisfies generalized Weyl's theorem and E(T) = Ea(T). We prove also that if T possesses property ab or property (aw) or property (gaw) respectively, and N is a nilpotent operator commuting with T, then T+N possesses property ab or property aw or property (gaw) respectively. The same result holds for property (gab) in the case of a-polaroid operators. |
| Uitgever: |
Acta Mathematica Universitatis Comenianae (provided by DOAJ) |
| Bronbestand: |
Elektronische Wetenschappelijke Tijdschriften |
Details van artikel 44 van 68 gevonden artikelen
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