Weyl’s theorem holds for algebraically hyponormal operators

By Y. Han, Woo-Young Lee. 2000

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Weyl's and Browder's theorems for operators satisfying the SVEP (2004, background): “In [15], [13] (see also [9]), it was established that if T is algebraically totally paranormal or algebraically hyponormal, then Weyl’s theorem holds for f(T ), for every f ∈ H(σ(T )).”
Weyl’s Theorem for Algebraically Paranormal Operators (2003, background): “Lee [ HanLe ] showed that Weyl’s theorem holds for algebraically hyponormal operators.”
Classes of operators satisfying a-Weyl's theorem (2005, background): “The next result improves Corollary 4 of [23] and Theorem 2.”