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Localized SVEP, Property (b) and Property (ab) |
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| Authors: | Pietro Aiena Jesús R. Guillén Pedro Peña |
| Affiliation: | 1. DIEETCAM, Facoltà di Ingegneria, Viale delle Scienze, I-90128, Palermo, Italy 2. Departamento de Matemáticas, Facultad de Ciencias, Universidad de los Andes, La Hechichera, Merida, Venezuela 3. Departamento de Física y Matemáticas, Núcleo Universitario Rafael Rangel (NURR), Universidad de los Andes, Trujillo, Venezuela |
| Abstract: | Property (b) for a bounded linear operator ${T in L(X)}$ on a Banach space X means that the points λ of the approximate point spectrum for which λI – T is upper semi-Weyl are exactly the spectral points λ for which λI – T is Browder. In this paper we shall give several characterizations of operators T for which T, or its dual T*, has property (b). We also investigate the property (ab) which is closely related to property (b). |
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