Single-valued extension property at the points of the approximate point spectrum |
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| Authors: | Pietro Aiena Ennis Rosas |
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| Institution: | a Dipartimento di Matematica ed Applicazioni, Facoltà di Ingegneria, Università di Palermo, Viale delle Scienze, I-90128 Palermo, Italy
b Departamento de Matemáticas, Facultad de Ciencias, Universidad de Oriente, Cumaná, Venezuela |
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| Abstract: | A localized version of the single-valued extension property is studied at the points which are not limit points of the approximate point spectrum, as well as of the surjectivity spectrum. In particular, we shall characterize the single-valued extension property at a point  in the case that λoI−T is of Kato type. From this characterizations we shall deduce several results on cluster points of some distinguished parts of the spectrum. |
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| Keywords: | Single valued extension property Fredholm theory |
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