A NOTE ON WEYL'S THEOREM FOR *-PARANORMAL OPERATORS

Title & Authors
A NOTE ON WEYL'S THEOREM FOR *-PARANORMAL OPERATORS
Kim, An-Hyun;

Abstract
In this note we investigate Weyl's theorem for *-paranormal operators on a separable infinite dimensional Hilbert space. We prove that if T is a *-paranormal operator satisfying Property $\small{(E)-(T-{\lambda}I)H_T(\{{\lambda}\})}$ is closed for each $\small{{\lambda}{\in}{\mathbb{C}}}$, where $\small{H_T(\{{\lambda}\})}$ is a local spectral subspace of T, then Weyl's theorem holds for T.
Keywords
Weyl's theorem;*-paranormal operators;Property (E);
Language
English
Cited by
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