Bulletin of the
Korean Mathematical Society BKMS

ISSN(Print) 1015-8634 ISSN(Online) 2234-3016
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Bull. Korean Math. Soc. 2002; 39(4): 571-575

Printed December 1, 2002

Copyright © The Korean Mathematical Society.

On Weyl spectra of algebraically totally-paranormal operators

Jin Chun Kim

Semyung University

Abstract

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In this paper we show that Weyl's theorem holds for $f(T)$ when an Hilbert space operator $T$ is ``algebraically totally-paranormal" and $f$ is any analytic function on an open neighborhood of the spectrum of $T$.

Keywords: Weyl's theorem, algebraically totally-paranormal operators

MSC numbers: Primary 47A53; Secondary 47B20

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