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Hereditarily normaloid operators. (English) Zbl 1097.47005
Among the established permanence properties of completely hereditarily normaloid operators, the author shows that if $$T$$ is an operator in this class, then both $$T$$ and $$T^*$$ have the single-valued extension property at all points which are not in the Weyl spectrum of $$T$$. He then exploits this property to study a-Weyl’s theorem and a-Browder’s theorem for operators in this class.

##### MSC:
 47A10 Spectrum, resolvent 47A11 Local spectral properties of linear operators
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