• Title, Summary, Keyword: k-th roots of p-hyponormal operator

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k-TH ROOTS OF p-HYPONORMAL OPERATORS

  • DUGGAL BHAGWATI P.;JEON IN Ho;KO AND EUNGIL
    • Bulletin of the Korean Mathematical Society
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    • v.42 no.3
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    • pp.571-577
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    • 2005
  • 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.