Binarity for -categorial weakly o-minimal theories of convexity rank 1.

Kulpeshov, B.Sh.

Displaying similar documents to “Binarity for $ℵ_{0}$ -categorial weakly o-minimal theories of convexity rank 1.”

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

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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))....