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Spectral and structuralproperties of log-hyponormal operators

Published online by Cambridge University Press:  08 November 2000

Muneo Chō ,
InHo Jeon  and
Jun Ik Lee
Muneo Chō
Affiliation:
Department of Mathematics, Kanagawa University, Yokohama 221-8686, Japan. E-mail: chiyom01@kanagawa-u.ac.jp
InHo Jeon
Affiliation:
Department of Mathematics, Sungkyunkwan University, Suwon 440-764, Korea. E-mail: jih@math.skku.ac.kr, jilee@math.skuu.ac.kr
Jun Ik Lee
Affiliation:
Department of Mathematics, Sungkyunkwan University, Suwon 440-764, Korea. E-mail: jih@math.skku.ac.kr, jilee@math.skuu.ac.kr
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Abstract

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In this paperwe study fundamental properties of spectra of log-hyponormal operators on a Hilbert space. Inparticular we show that log-hyponormal operators are normaloid and quasi-similar log-hyponormaloperators have the same spectra and essential spectra.

Information

Type
Research Article
Information
Glasgow Mathematical Journal , Volume 42 , Issue 3 , September 2000 , pp. 345 - 350
Copyright
2000 Glasgow Mathematical Journal Trust