Bulletin of the
Korean Mathematical Society BKMS

ISSN(Print) 1015-8634 ISSN(Online) 2234-3016
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Bull. Korean Math. Soc. 2005; 42(2): 269-277

Printed June 1, 2005

Copyright © The Korean Mathematical Society.

Tensor products of log-hyponormal operators

In Hyoun Kim

Kyungpook National University

Abstract

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The tensor product $A\otimes B$ of Hilbert space operators $A$ and $B$ will be shown to be log-hyponormal if and only if $A$ and $B$ are log-hyponormal. Some general comments about generalized hyponormality are also made.

Keywords: tensor product, log-hyponormal, $w$-hyponormal, $p$-quasi-hyponormal

MSC numbers: Primary 47A80; Secondary 47B20

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