| Property (ω) and Its Perturbations |
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| 基金项目： | Supported by the Fundamental Research Funds for the Central Universities (Grant No. GK200901015) |
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| 摘 要： | In the note,we establish for a bounded linear operator defined on a Hilbert space the necessary and sufficient conditions for the stability of property(ω) by means of the variant of the essential approximate point spectrum and the induced spectrum of consistency in Fredholm and index.In addition,the stability of property(ω) for H(P) operators is considered.
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| 关 键 词： | property(ω) perturbation consistency in Fredholm and index. |
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