Frontiers of Mathematics in China >

2014 , Vol. 9 >Issue 6: 1411 - 1426

DOI: https://doi.org/10.1007/s11464-014-0373-7

RESEARCH ARTICLE

Property (ω) and topological uniform descent

  • Qiaoling XIN ,
  • Lining JIANG
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  • School of Mathematics and Statistics, Beijing Institute of Technology, Beijing 100081, China

Received date: 13 Dec 2013

Accepted date: 27 Mar 2014

Published date: 29 Oct 2014

Copyright

2014 Higher Education Press and Springer-Verlag Berlin Heidelberg
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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.

Key words： Topological uniform descent; consistent in Fredholm and index; property (ω)

Cite this article

Qiaoling XIN , Lining JIANG . Property (ω) and topological uniform descent[J]. Frontiers of Mathematics in China, 2014 , 9(6) : 1411 -1426 . DOI: 10.1007/s11464-014-0373-7

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