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ON QUASISIMILARITY FOR LOG-HYPONORMAL OPERATORS

Published online by Cambridge University Press:  15 January 2004

I. H. JEON ,
K. TANAHASHI  and
A. UCHIYAMA
I. H. JEON
Affiliation:
Department of Mathematics, Ewha Women's University, Seoul 120-750, Korea e-mail: jihmath@ewha.ac.kr
K. TANAHASHI
Affiliation:
Department of Mathematics, Tohoku Pharmaceutical University, Sendai 981-8558, Japan e-mail: tanahasi@tohoku-pharm.ac.jp
A. UCHIYAMA
Affiliation:
Sendai National College of Technology, Sendai 989-3128, Japan e-mail: uchiyama@cc.sendai-ct.ac.jp
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Abstract

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In this paper we show that the normal parts of quasisimilar log-hyponormal operators are unitarily equivalent. A Fuglede-Putnam type theorem for log-hyponormal operators is proved. Also, it is shown that a log-hyponormal operator that is quasisimilar to an isometry is unitary and that a log-hyponormal spectral operator is normal.

Keywords

47B20
Type
Research Article
Information
Glasgow Mathematical Journal , Volume 46 , Issue 1 , January 2004 , pp. 169 - 176
Copyright
2004 Glasgow Mathematical Journal Trust