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  • P-ISSN1226-0657
  • E-ISSN2287-6081
  • KCI

ISSN : 1226-0657

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Vol.7 No.2

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Journal of the Korean Society of Mathematical Education Series B: The Pure and Applied Mathematics / Journal of the Korean Society of Mathematical Education Series B: The Pure and Applied Mathematics, (P)1226-0657; (E)2287-6081
2000, v.7 no.2, pp.79-86
Cha, Hyung-Koo
Shin, Kyo-Il
Kim, Jae-Hee
Cha,, H. , Shin,, K. , & Kim,, J. (2000). . Journal of the Korean Society of Mathematical Education Series B: The Pure and Applied Mathematics, 7(2), 79-86.

Abstract

In this paper, we introduce the classes H(p,q,k),K(p;k) of operators determined by the Heinz-Kato-Furuta inequality and Holer-McCarthy inequality. We characterize relationship between p-quasihyponormal, <TEX>$\kappa$</TEX>-quasihyponormal and <TEX>$\kappa$</TEX>-p-quasihyponormal operators. And it is proved that every operator in K(p;1) for some <TEX>$0<p{\leq}1$</TEX> is paranormal.

keywords
quasihyponormal operator, class K(p) operaors, class K(p, k) of operaors

Journal of the Korean Society of Mathematical Education Series B: The Pure and Applied Mathematics

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