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Proceedings of the American Mathematical Society
Proceedings of the American Mathematical Society
ISSN 1088-6826(online) ISSN 0002-9939(print)

 

Spectral structure and subdecomposability
of $p$-hyponormal operators


Authors: Ruan Yingbin and Yan Zikun
Journal: Proc. Amer. Math. Soc. 128 (2000), 2069-2074
MSC (1991): Primary 47B99, 47A10
Published electronically: October 29, 1999
MathSciNet review: 1654104
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Abstract | References | Similar Articles | Additional Information

Abstract: We prove that for every $p$-hyponormal operator $A, 0<p\le 1,$ there corresponds a hyponormal operator $\tilde A$ such that $A$ and $\tilde A$ have ``equal spectral structure". We also prove that every $p$-hyponormal operator $A,0<p\le 1,$ is subdecomposable. Then some relevant quasisimilarity results are obtained, including that two quasisimilar $p$-hyponormal operators have equal essential spectra.


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Additional Information

Ruan Yingbin
Affiliation: Department of Mathematics, Fujian Normal University, Fuzhou, 350007, The People’s Republic of China
Email: xhyan@fjtu.edu.cn

Yan Zikun
Affiliation: Department of Mathematics, Fujian Normal University, Fuzhou, 350007, The People’s Republic of China

DOI: http://dx.doi.org/10.1090/S0002-9939-99-05257-0
PII: S 0002-9939(99)05257-0
Keywords: Spectra, subdecomposability, $p$-hyponormal, quasisimilarity
Received by editor(s): August 27, 1998
Published electronically: October 29, 1999
Additional Notes: This research was supported by the National Natural Science Foundation of China
Communicated by: David R. Larson
Article copyright: © Copyright 2000 American Mathematical Society