Journal of East China Normal University(Natural Sc ›› 2014, Vol. 2014 ›› Issue (6): 17-24.doi: 10.3969/j.issn.1000-5641.2014.06.004

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Perturbation of single-valued extension property and its application

 DAI  Lei1, CAO  Xiao-Hong2   

  1. 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:2014-11-25 Published:2015-02-07
  • Contact: 戴磊,男, 博士, 研究方向为算子代数与算子理论

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

CLC Number: