| k-拟-*-A算子的性质 |
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| 引用本文： | 左红亮,左飞,申俊丽.k-拟-*-A算子的性质[J].河南师范大学学报(自然科学版),2010,38(6). |
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| 作者姓名： | 左红亮 左飞 申俊丽 |
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| 基金项目： | 国家自然科学基金天元青年专项基金 |
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| 摘 要： | 主要引入了一类新的算子k-拟-*-A算子,它是*-A类算子的推广,继而研究了一些它的重要性质,诸如若T是一个k-拟-*-A算子,则T在它的不变子空间M上的限制T|M也是k-拟-*-A算子;若T是一个k-拟-*-A算子且λ≠0,则N(T-λ)■N(T-λ)*.
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| 关 键 词： | *-A算子 k-拟-*-A算子 不变子空间 核空间 |
The Properties of k-quasi-*-A operator |
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| ZUO Hong-liang,ZUO Fei,SHEN Jun-li.The Properties of k-quasi-*-A operator[J].Journal of Henan Normal University(Natural Science),2010,38(6). |
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| Authors: | ZUO Hong-liang ZUO Fei SHEN Jun-li |
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| Abstract: | This paper introduces a new class of operators,class of k-quasi-*-A operator which is a development of *-A operator.The research we gives its some imprtant properties,such as if T is a k-quasi-*-A operator and M is its invariant subspace,then the restriction T|M of T to M is also a k-quasi-*-A operator;If T is a k-quasi-*-A operator and λ≠0,then N(T-λ)■N(T-λ)*. |
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| Keywords: | *-A operator k-quasi-*-A operator invariant subspace kernal space |
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