| 一类初等算子的范数等式和奇异值不等式 |
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| 引用本文： | 马伟.一类初等算子的范数等式和奇异值不等式[J].黑龙江科技学院学报,2010,20(1):81-84. |
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| 作者姓名： | 马伟 |
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| 作者单位： | 陕西师范大学,数学与信息科学学院,西安,710062 |
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| 基金项目： | 国家自然科学基金资助项目，陕西省自然科学基础研究计划项目 |
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| 摘 要： | 讨论B（H）上初等算子的范数问题,以复数域上的紧凸子集正规极大数值域为媒介,根据其定义及初等算子范数的性质,推导得到初等算子MA,B、MC,D和的范数的上界的一个充要条件、一些奇异值不等式及初等算子奇异值不等式的一些推论。所得结果推广了2003年M. Barraa和M. Boumazgour的结果。
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| 关 键 词： | 初等算子 范数 奇异值 数值域 |
Norm equalities and singular value inequalities of certain in elementary operators |
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| MA Wei.Norm equalities and singular value inequalities of certain in elementary operators[J].Journal of Heilongjiang Institute of Science and Technology,2010,20(1):81-84. |
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| Authors: | MA Wei |
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| Institution: | MA Wei(College of Mathematics and Information Science,Shaanxi Normal University,Xi＇an 710062,China) |
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| Abstract: | The norm problems for elementary operators on B（H） are discussed in this paper.Some sufficient and necessary conditions for the upper bound of the sum of MA,B and MC,D and several singular value inequalities are obtained by using the definition of normal maximal numerical range,which is a closed convex subset in C,and the character of the norm of elementary operator to compute.Some corollaries about the singular value inequalities of elementary operator are obtained.In addition,the results obtained by M.Barraa and M.Boumazgour in 2003 are generalized. |
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| Keywords: | elementary operator norm singular value numerical range |
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