| ALGEBRAIC EXTENSION OF ＊-A OPERATOR |
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| 引用本文： | 左红亮,左飞.ALGEBRAIC EXTENSION OF ＊-A OPERATOR[J].数学物理学报(B辑英文版),2014(6):1885-1891. |
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| 作者姓名： | 左红亮 左飞 |
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| 基金项目： | partially supported by the NNSF（11201126）; the Basic Science and Technological Frontier Project of Henan Province（142300410167）; the Natural Science Foundation of the Department of Education,Henan Province（14B110008）; the Youth Science Foundation of Henan Normal University（2013QK01） |
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| 摘 要： | In this paper, we study various properties of algebraic extension of *-A operator.Specifically, we show that every algebraic extension of *-A operator has SVEP and is isoloid.And if T is an algebraic extension of *-A operator, then Weyl's theorem holds for f(T), where f is an analytic functions on some neighborhood of σ(T) and not constant on each of the components of its domain.
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| 关 键 词： | 代数扩张 Weyl定理 解析函数 运营商 操作者 |
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