k-TH ROOTS OF p-HYPONORMAL OPERATORS

Title & Authors
k-TH ROOTS OF p-HYPONORMAL OPERATORS
DUGGAL BHAGWATI P.; JEON IN Ho; KO AND EUNGIL;

Abstract
In this paper we prove that if T is a k-th root of a p­hyponormal operator when T is compact or T$\small{^{n}}$ 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 $\small{\sigma}$(T) is contained in an angle < 2$\small{\pi}$/k with vertex in the origin, then T is subscalar.
Keywords
k-th roots of p-hyponormal operator;subscalar operator;
Language
English
Cited by
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