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平移凸算子的谱性质
引用本文:郑成忠.平移凸算子的谱性质[J].南平师专学报,2008,27(5):15-17.
作者姓名:郑成忠
作者单位:宁德职业技术学院,福建福安355019
摘    要:引进凸算子的概念,证明了两个稠值域相似的平移凸算子有相同的谱,把Clary定理推广到更广泛的一类算子:平移凸算子类。

关 键 词:Hilbert空间  拟相似  稠值域相似  平移凸算子  亚正常算子

On the Property of Spectra of a Translational Convex Operator
ZHENG Chengzhong.On the Property of Spectra of a Translational Convex Operator[J].Journal of Nanping Teachers College,2008,27(5):15-17.
Authors:ZHENG Chengzhong
Institution:ZHENG Chengzhong (Ningde Vocational College ,Fuan,Fujian 355019)
Abstract:This paper gives the concept of a convex operator,proves that two translational convex operators have the same spectrum under the sense of dense range similarity,and extends the Clary theorem to a more extensive class of operators:translational convex operators.
Keywords:Hilbert space  quasisimilarity  dense range similarity  translational convex operator  hyponormal operator
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