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

Extracta Mathematicae (2006)

- Volume: 21, Issue: 1, page 41-50
- ISSN: 0213-8743

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topOudghiri, Mourad. "a-Weyl's theorem and the single valued extension property.." Extracta Mathematicae 21.1 (2006): 41-50. <http://eudml.org/doc/41849>.

@article{Oudghiri2006,

abstract = {In the present paper, we study a-Weyl's and a-Browder's theorem for an operator T such that T or T* satisfies the single valued extension property (SVEP). We establish that if T* has the SVEP, then T obeys a-Weyl's theorem if and only if it obeys Weyl's theorem. Further, if T or T* has the SVEP, we show that the spectral mapping theorem holds for the essential approximative point spectrum, and that a-Browder's theorem is satisfied by f(T) whenever f ∈ H(σ(T)). We also provide several conditions that force an operator with the SVEP to obey a-Weyl's theorem. The author would like to precise that this paper constitute a part of his thesis [16].},

author = {Oudghiri, Mourad},

journal = {Extracta Mathematicae},

keywords = {Operadores lineales; Operadores de Fredholm; Teoría de perturbación; Teorema de Weyl; -Weyl’s theorem; -Browder’s theorem; Weyl's theorem; functional calculus},

language = {eng},

number = {1},

pages = {41-50},

title = {a-Weyl's theorem and the single valued extension property.},

url = {http://eudml.org/doc/41849},

volume = {21},

year = {2006},

}

TY - JOUR

AU - Oudghiri, Mourad

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

JO - Extracta Mathematicae

PY - 2006

VL - 21

IS - 1

SP - 41

EP - 50

AB - In the present paper, we study a-Weyl's and a-Browder's theorem for an operator T such that T or T* satisfies the single valued extension property (SVEP). We establish that if T* has the SVEP, then T obeys a-Weyl's theorem if and only if it obeys Weyl's theorem. Further, if T or T* has the SVEP, we show that the spectral mapping theorem holds for the essential approximative point spectrum, and that a-Browder's theorem is satisfied by f(T) whenever f ∈ H(σ(T)). We also provide several conditions that force an operator with the SVEP to obey a-Weyl's theorem. The author would like to precise that this paper constitute a part of his thesis [16].

LA - eng

KW - Operadores lineales; Operadores de Fredholm; Teoría de perturbación; Teorema de Weyl; -Weyl’s theorem; -Browder’s theorem; Weyl's theorem; functional calculus

UR - http://eudml.org/doc/41849

ER -