Displaying similar documents to “On nodal sets and nodal domains on S 2 and 2

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

Mourad Oudghiri (2006)

Extracta Mathematicae

Similarity:

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))....