Abstract
We prove that if either T or T ∗ has the single-valued extension property, then the spectral mapping theorem holds for B-Weyl spectrum. If, moreover T is isoloid, and generalized Weyl's theorem holds for T, then generalized Weyl's theorem holds for f ( T ) for every f ∈ H ( σ ( T ) ) . An application is given for algebraically paranormal operators.
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