华东师范大学学报(自然科学版) ›› 2014, Vol. 2014 ›› Issue (6): 17-24.doi: 10.3969/j.issn.1000-5641.2014.06.004

• 应用数学与基础数学 • 上一篇    下一篇

单值延拓性质的摄动及其应用

戴磊1，曹小红2   

  1. 1. 渭南师范学院 数学与信息科学学院,陕西 渭南 714099 2. 陕西师范大学 数学与信息科学学院, 西安 710062
  • 出版日期:2014-11-25 发布日期:2015-02-07
  • 基金资助:

    高等学校博士学科点专项科研基金(20110202110002); 陕西省自然科学基础研究基金(2014JQ1015);渭南市科技计划项目(2013KYJ-1);渭南师范学院科研计划项目(14YKP007)

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 E-mail:leidai@yeah.net

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摘要： 根据一致Fredholm指标算子定义出一种新的谱集,利用该谱集及变化的本质逼近点谱, 研究了单值延拓性质的紧摄动;并给出了广义(ω)性质摄动的等价刻画.

关键词: 单值延拓性质, 紧摄动, 一致Fredholm指标算子

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

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