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GAPS OF OPERATORS, II

Published online by Cambridge University Press:  29 November 2005

IL BONG JUNG ,
MI RYEONG LEE  and
PIL SANG LIM
IL BONG JUNG
Affiliation:
Department of Mathematics, Kyungpook National University, Daegu, 702-701, Korea e-mail: ibjung@knu.ac.kr, lmr67@yumail.ac.kr, limath@hanmail.net
MI RYEONG LEE
Affiliation:
Department of Mathematics, Kyungpook National University, Daegu, 702-701, Korea e-mail: ibjung@knu.ac.kr, lmr67@yumail.ac.kr, limath@hanmail.net
PIL SANG LIM
Affiliation:
Department of Mathematics, Kyungpook National University, Daegu, 702-701, Korea e-mail: ibjung@knu.ac.kr, lmr67@yumail.ac.kr, limath@hanmail.net
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Abstract

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In [11] the authors obtained an operator matrix with two variables that distinguishes the classes of $p$-hyponormal operators, $w$-hyponormal, absolute-$p$-paranormal, and normaloid operators on Hilbert spaces. We establish the general model for $n$ variables, which provides many more examples to show that such classes are distinct.

Keywords

47B2047B3747A15
Type
Research Article
Information
Glasgow Mathematical Journal , Volume 47 , Issue 3 , September 2005 , pp. 461 - 469
Copyright
2005 Glasgow Mathematical Journal Trust