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http://dx.doi.org/10.4134/BKMS.2005.42.3.571

k-TH ROOTS OF p-HYPONORMAL OPERATORS  

DUGGAL BHAGWATI P. (REDWOOD GROVE)
JEON IN Ho (DEPARTMENT OF MATHMATHICS, EWHA WOMEN'S UNIVERSITY)
KO AND EUNGIL (DEPARTMENT OF MATHMATHICS, EWHA WOMEN'S UNIVERSITY)
Publication Information
Bulletin of the Korean Mathematical Society / v.42, no.3, 2005 , pp. 571-577 More about this Journal
Abstract
In this paper we prove that if T is a k-th root of a p­hyponormal operator when T is compact or T$^{n}$ is normal for some integer n > k, then T is (generalized) scalar, and that if T is a k-th root of a semi-hyponormal operator and have the property $\sigma$(T) is contained in an angle < 2$\pi$/k with vertex in the origin, then T is subscalar.
Keywords
k-th roots of p-hyponormal operator; subscalar operator;
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