| A Note on Property(ω) |
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| 作者单位： | Ji Rong WANG(Department of Mathematics,Yuncheng University,Shanxi 044000,P.R.China);Xiao Hong CAO(College of Mathematics and Information Science,Shaanxi Normal University,Shaanxi 710062,P.R.China) |
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| 基金项目： | the Fundamental Research Funds for the Central Universities，the Support Plan of the New Century Talented Person of Ministry of Education，P.R.China and by Major Subject Foundation of Shanxi |
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| 摘 要： | In this note we study the property(ω),a variant of Weyl's theorem introduced by Rakoevic,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.
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| 关 键 词： | approximate Weyl's theorem property(ω) Browder operator. |
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