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Weyl's theorem for perturbations of paranormal operators |
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| Authors: | Pietro Aiena Jesú s R Guillen |
| Institution: | Dipartimento di Matematica ed Applicazioni, Facoltà di Ingegneria, Università di Palermo, Viale delle Scienze, I-90128 Palermo, Italy ; Departamento de Matemáticas, Facultad de Ciencias, Universidad UCLA, Merida, Venezuela |
| Abstract: | A bounded linear operator  on a Banach space  is said to satisfy ``Weyl's theorem' if the complement in the spectrum of the Weyl spectrum is the set of all isolated points of the spectrum which are eigenvalues of finite multiplicity. In this paper we show that if  is a paranormal operator on a Hilbert space, then  satisfies Weyl's theorem for every algebraic operator  which commutes with  . |
| Keywords: | Weyl's theorem localized SVEP paranormal operators |
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