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http://dx.doi.org/10.5666/KMJ.2015.55.4.885

Finite Operators and Weyl Type Theorems for Quasi-*-n-Paranormal Operators  

ZUO, FEI (College of Mathematics and Information Science, Henan Normal University)
YAN, WEI (College of Mathematics and Information Science, Henan Normal University)
Publication Information
Kyungpook Mathematical Journal / v.55, no.4, 2015 , pp. 885-892 More about this Journal
Abstract
In this paper, we mainly obtain the following assertions: (1) If T is a quasi-*-n-paranormal operator, then T is finite and simply polaroid. (2) If T or $T^*$ is a quasi-*-n-paranormal operator, then Weyl's theorem holds for f(T), where f is an analytic function on ${\sigma}(T)$ and is not constant on each connected component of the open set U containing ${\sigma}(T)$. (3) If E is the Riesz idempotent for a nonzero isolated point ${\lambda}$ of the spectrum of a quasi-*-n-paranormal operator, then E is self-adjoint and $EH=N(T-{\lambda})=N(T-{\lambda})^*$.
Keywords
Quasi-*-n-paranormal operator; finite; polaroid; Weyl's theorem; Riesz idempotent;
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Times Cited By KSCI : 1  (Citation Analysis)
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