Filomat 2010 Volume 24, Issue 3, Pages: 83-93
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Local spectral properties for the Helton class of an operator

Han Min Young, Lee Eun Ji

In this paper we study some local spectral properties of the Helton class of an operator. In particular, we show that the Helton class of an operator preserves the property (Q) under some condition. Also, we prove that if R has SVEP, S ∈ Heltonk (R), and T Á S then a-Browder's theorem holds for f (T) for each f ∈ H (σ(T )).

Keywords: Helton class, a-Browder's theorem, property (Q), SVEP

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