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对称矩阵空间上秩1非增长的加法映射
作者姓名:Ming-Huat  Lim
作者单位:Malaya大学 数学科学学院,KualaLumpur 50603,马来西亚
基金项目:Supported in part by an IRPA research grant from the Ministry of Science,Technology and Innovation ofMalaysia
摘    要:刻划了特征不为2及3的域上所有从一个第二对称积空间到另一个的保形如λu·u(u是向量且λ是纯量)的可分解元素的加法映射.

关 键 词:加法映射  对称矩阵  

Rank-one nonincreasing additive mappings on symmetric matrices
Ming-Huat Lim.Rank-one nonincreasing additive mappings on symmetric matrices[J].Journal of Natural Science of Heilongjiang University,2004,21(4):35-36.
Authors:Ming-Huat Lim
Abstract:The author describes those additive mappings from a second symmetric product space to another, over a field of characteristic not 2 or 3, which preserve decomposable elements of the form λu·u where u is a vector and λis a scalar.
Keywords:additive mappings  symmetric matrices  rank
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