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http://dx.doi.org/10.4134/CKMS.2012.27.3.565

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

Kim, An-Hyun (Department of Mathematics Changwon National University)

Publication Information

Communications of the Korean Mathematical Society / v.27, no.3, 2012 , pp. 565-570 More about this Journal

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 $(E)-(T-{\lambda}I)H_T(\{{\lambda}\})$ is closed for each ${\lambda}{\in}{\mathbb{C}}$ , where $H_T(\{{\lambda}\})$ is a local spectral subspace of T, then Weyl's theorem holds for T.

Keywords

Weyl's theorem; *-paranormal operators; Property (E);

Citations & Related Records

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