A Note on Property(ω)

作     者：Ji Rong WANG Xiao Hong CAO 

作者机构：Department of Mathematics Yuncheng University Shanxi 044000 P. R. China College of Mathematics and Information Science Shaanxi Normal University Shaanxi 710062 P. R. China 

出 版 物：《Journal of Mathematical Research and Exposition》 (数学研究与评论（英文版）)

年 卷 期：2011年第31卷第1期

页      面：100-108页

学科分类：07[理学] 070104[理学-应用数学] 0701[理学-数学] 

基　　金：Supported by the Fundamental Research Funds for the Central Universities (Grant No.GK200901015) the Support Plan of the New Century Talented Person of Ministry of Education (2006) P.R. China and by Major Subject Foundation of Shanxi 

主　　题：approximate Weyl's theorem property (ω) Browder operator. 

摘      要：In this note we study the property （ω）, a variant of Weyl＇s theorem introduced by Rakocevic, by means of the new spectrum. We establish for a bounded linear operator defined on a Banach space a necessary and sufficient condition for which both property （ω） and approximate Weyl＇s theorem hold. As a consequence of the main result, we study the property （ω） and approximate Weyl＇s theorem for a class of operators which we call the λ-weak-H（p） operators.