Proceedings of the American Mathematical Society

Author(s): Lin Chen; Yan Zikun
Journal: Proc. Amer. Math. Soc. 128 (2000), 485-493.
MSC (1991): Primary 47B40, 47A10
Posted: May 19, 1999
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Abstract: We analyze the notion of Bishop's property ( $\beta$ ) to obtain some new concepts. We describe some conditions in terms of these concepts for an operator to have its essential spectrum (spectrum) contained in the essential spectrum (spectrum) of every operator quasisimilar to it. A subfamily of such operators is proved to be dense in $L(\mathbf{H})$ .

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Retrieve articles in Proceedings of the American Mathematical Society with MSC (1991): 47B40, 47A10

Lin Chen
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: 10.1090/S0002-9939-99-05047-9
PII: S 0002-9939(99)05047-9
Keywords: Quasisimilarity, essential spectra, subdecomposability
Received by editor(s): March 27, 1998
Posted: May 19, 1999
Additional Notes: This research was supported by the National Natural Science Foundation of China
Communicated by: David R. Larson
Copyright of article: Copyright 1999, American Mathematical Society

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