Property (ω) and topological uniform descent

Qiaoling Xin; Lining Jiang

doi:10.1007/s11464-014-0373-7

Property (ω) and topological uniform descent

Qiaoling Xin^*, Lining Jiang

^*Corresponding author for this work

School of Mathematics and Statistics

Beijing Institute of Technology

Research output: Contribution to journal › Article › peer-review

4 Citations (Scopus)

Abstract

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.

Original language	English
Pages (from-to)	1411-1426
Number of pages	16
Journal	Frontiers of Mathematics in China
Volume	9
Issue number	6
DOIs	https://doi.org/10.1007/s11464-014-0373-7
Publication status	Published - 1 Dec 2014

Keywords

Topological uniform descent
consistent in Fredholm and index
property (ω)

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10.1007/s11464-014-0373-7

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AB - 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.

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Property (ω) and topological uniform descent

Abstract

Keywords

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