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a-Weyl's theorem and perturbations

100%

Oudghiri M.

Studia Mathematica

2006

tom 173

nr 2

193-201

We study the stability of a-Weyl's theorem under perturbations by operators in some known classes. We establish in particular that if T is a finite a-isoloid operator, then a-Weyl's theorem is transmitted from T to T + R for every Riesz operator R commuting with T.

Weyl's and Browder's theorems for operators satisfying the SVEP

100%

Oudghiri M.

Studia Mathematica

2004

tom 163

nr 1

85-101

We study Weyl's and Browder's theorem for an operator T on a Banach space such that T or its adjoint has the single-valued extension property. We establish the spectral mapping theorem for the Weyl spectrum, and we show that Browder's theorem holds for f(T) for every f ∈ 𝓗 (σ(T)). Also, we give necessary and sufficient conditions for such T to obey Weyl's theorem. Weyl's theorem in an important class of Banach space operators is also studied.

Ograniczanie wyników

2 Studia Mathematica

2 Oudghiri M.

1 2006

1 2004

Wyniki wyszukiwania

a-Weyl's theorem and perturbations

Weyl's and Browder's theorems for operators satisfying the SVEP