Journal of the Korean Society of Mathematical Education Series B: Theoretical Mathematics and Pedagogical Mathematics / 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
Shin, Kyo-Il
Kim, Jae-Hee
Cha,,
H.
, Shin,,
K.
, &
Kim,,
J.
(2000). , 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
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quasihyponormal operator,
class K(p) operaors,
class K(p,
k) of operaors