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TENSOR PRODUCTS OF LOG-HYPONORMAL AND OF CLASS $A(s,t)$ OPERATORS

Published online by Cambridge University Press:  15 January 2004

KÔTARÔ TANAHASHI  and
MUNEO CHŌ
KÔTARÔ TANAHASHI
Affiliation:
Department of Mathematics, Tohoku Pharmaceutical University, Sendai 981-8558, Japan e-mail: tanahasi@tohoku-pharm.ac.jp
MUNEO CHŌ
Affiliation:
Department of Mathematics, Kanagawa University, Yokohama 221-8686, Japan e-mail: chiyom01@kanagawa-u.ac.jp
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Abstract

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Let $A$ (resp. $B$) be a bounded linear operator on a complex Hilbert space $ {\mathcal H}$ (resp. $ {\mathcal K}$). We show that the tensor product $ A \otimes B $ is log-hyponormal if and only if $A$ and $B$ are log-hyponormal, and that a similar result holds for class $A(s,t)$ operators.

Keywords

47A8047B20
Type
Research Article
Information
Glasgow Mathematical Journal , Volume 46 , Issue 1 , January 2004 , pp. 91 - 95
Copyright
2004 Glasgow Mathematical Journal Trust