Honam Mathematical Journal (호남수학학술지)

The Honam Mathematical Society (호남수학회)
권호 표지

ON THE CLASS OF κTH ROOTS OF PARANORMAL OPERATORS

  • YANG, YOUNG OH (Department of Mathematics Cheju National University)
  • Received : 2004.04.23
  • Published : 2004.06.25
Download PDF
⟨ Previous Next ⟩

Abstract

we shall study some properties of a new class ($\sqrt[\kappa]{P}$) (defined below). Also we show that T may not be normaloid when $T{\in}(\sqrt[\kappa]{P})$, and that the class ($\sqrt{H}$) may not have the translation-invariant propety.

Keywords

References

  1. Acta Sci. Math. v.33 Operators with a norm condition Ando, T.
  2. Publications De L'Institut Mathematique v.29 no.43 M-hyponormal operators Arora, S.C.;Kumar, R.
  3. Proc. Japan Acad. v.43 On the class of paranormal operators Furuta, T.
  4. A Hilbert space problem book Halmos, P.R.
  5. Tohoku Math. Journ. v.18 no.4 On a class of operators Istratescu, V.;Saito, T.;Yoshino, T.
  6. Bull. Korean Math. Soc. v.40 no.4 Properties of kth root of a hyponormal operator Ko, E.
  7. Lectures on hyponormal operators, Operator Theory Martin, M.;Putinar, M.
  8. Mathematica Japonicae v.19 no.1 On paranormal operators Shah, N.C.;Sheth, I.H.
  9. Rev. Roum. Math. Pures, et Appl. v.15 Some results on hyponormal operators Sheth, I.H.
  10. Far East J. math. Sci(FJMS) v.11 no.1 On generalized roots of hyponormal operators Yang, Y.;Kim, D.