Property ( ω) and topological uniform descent

We give the necessary and sufficient condition for a bounded linear operator with property ( ω) by means of the induced spectrum of topological uniform descent, and investigate the permanence of property ( ω) under some commuting perturbations by power finite rank operators. In addition, the theory...

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Bibliographic Details
Published in:Frontiers of mathematics in China 2014-12, Vol.9 (6), p.1411-1426
Main Authors: XIN, Qiaoling, JIANG, Lining
Format: Article
Language:English
Subjects:
Algebra
China
consistent in Fredholm and index
Descent
International
Linear operators
Mathematical analysis
Mathematics
Mathematics and Statistics
Operators
Perturbation methods
Property
property ( ω)
Research Article
Studies
Theorems
Topological uniform descent
Topology
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Summary:We give the necessary and sufficient condition for a bounded linear operator with property ( ω) by means of the induced spectrum of topological uniform descent, and investigate the permanence of property ( ω) under some commuting perturbations by power finite rank operators. In addition, the theory is exemplified in the case of algebraically paranormal operators.
ISSN:1673-3452
1673-3576
DOI:10.1007/s11464-014-0373-7