Weyl's theorem, a-Weyl's theorem and single-valued extension property.

Título inglés	Weyl's theorem, a-Weyl's theorem and single-valued extension property.
Título español	Teorema de Weyl, teorema-a de Weyl y la propiedad de extensión de valor único.
Autor/es	Aiena, Pietro ; Carpintero, Carlos
Organización	Dip. Mat. Apl. Fac. Ing. Univ. Palermo, Palermo, Italia;Dep. Mat. Fac. Cien. Univ. Oriente, Cumaná, Venezuela
Revista	0213-8743
Publicación	2005, 20 (1): 25-41, 34 Ref.
Tipo de documento	articulo
Idioma	Inglés
Resumen inglés	In this paper we investigate the relation of Weyl's theorem, of a-Weyl's theorem and the single valued extension property. In particular, we establish necessary and sufficient conditions for a Banch space operator T to satisfy Weyl's theorem or a-Weyl's theorem, in the case in which T, or its dual T*, has the single valued extension property. These results improve similar results obtained by Curto and Han, Djordjevic S. V., Duggal B. P., and Y. M. Han. The theory is exemplified in the case of multipliers of commutative semi-simple Banach algebras, in particular convolution operators on the group algebra L1(G), weighted shift operators on lp(N), with 1 ≤ p < ∞, as well as other classes of operators.
Código MathReviews	MR2149122
Código Z-Math	Zbl 1079.47002
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