Journal of East China Normal University(Natural Science) >

2014 , Vol. 2014 >Issue 6: 17 - 24

DOI: https://doi.org/10.3969/j.issn.1000-5641.2014.06.004

Article

Perturbation of single-valued extension property and its application

  • DAI Lei ,
  • CAO Xiao-Hong
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  • 1. College of Mathematics and Information Science, Weinan Normal University, Weinan Shuanxi 714099, China; 2. College of Mathematics and Information Science, Shaanxi Normal University, Xi’an 710062, China

Online published: 2015-02-07

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Abstract

A new spectral set was defined on the basis of being consistent in Fredholm and index. By applying the new spectral set and a variant of the essential approximate point spectrum, the compact perturbation of the single-valued extension property was studied. Also, the equivalent characterization of the generalized property (ω) was proposed.

Key words： single-valued extension property; compact perturbations; consistent in Fredholm and index

Cite this article

DAI Lei , CAO Xiao-Hong . Perturbation of single-valued extension property and its application[J]. Journal of East China Normal University(Natural Science), 2014 , 2014(6) : 17 -24 . DOI: 10.3969/j.issn.1000-5641.2014.06.004

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