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  • P-ISSN3059-0604
  • E-ISSN3059-1309
  • KCI

ISSN : 3059-0604

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Vol.7 No.2

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ON THE SUPERCLASSES OF QUASIHYPONORMAL OPERATIORS

한국수학교육학회지시리즈B:순수및응용수학 / Journal of the Korean Society of Mathematical Education Series B: Theoretical Mathematics and Pedagogical Mathematics, (P)3059-0604; (E)3059-1309
2000, v.7 no.2, pp.79-86
Cha, Hyung-Koo (Department of Mathematics, Hanyang University)
Shin, Kyo-Il (Department of Mathematics, Hanyang University)
Kim, Jae-Hee (Department of Mathematics, Hanyang University)
Cha, Hyung-Koo, Shin, Kyo-Il, & Kim, Jae-Hee. (2000). ON THE SUPERCLASSES OF QUASIHYPONORMAL OPERATIORS, 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, $\kappa$-quasihyponormal and $\kappa$-p-quasihyponormal operators. And it is proved that every operator in K(p;1) for some $0 is paranormal.

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

한국수학교육학회지시리즈B:순수및응용수학

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