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保线性算子q次数值域的线性映射 被引量：1

Linear Maps Preserving q Numerical Range of Linear Operator
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摘要 研究保线性算子数值域的线性映射,在一定条件下分别给出了作用在块对角矩阵、块上三角矩阵及一般分块矩阵上的保q次数值域线性映射的一般形式. The linear maps preserving numerical range of linear operators were considered,and under certain conditions,the forms of linear maps preserving q numerical range on block diagonal matrices,block upper triangular matrices,and general block matrices were given,respectively.
作者 刘畔畔 张树功 李庆春
机构地区 吉林大学数学研究所 北华大学数学与统计学院
出处 《吉林大学学报（理学版）》 CAS CSCD 北大核心 2013年第6期979-983,共5页 Journal of Jilin University:Science Edition
基金 国家自然科学基金(批准号:11171133)
关键词 广义数值域 q次数值域 线性保持问题 块算子矩阵 generalized numerical range q numerical range linear preserver problem block operator matrix
分类号 O177.1 [理学—基础数学]
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参考文献10

  • 1I.anger H, Tretter C. Spectral Decomposition of Some Nonselfadjoint Block Operator Matrices [J]. Journal of Operator Theory, 1998, 39: 339-359.
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  • 3Tretter C, Wagenhofer M. The Block Numerical Range of an n × n Block Operator Matrix [J]. SIAM Journal on Matrix Analysis and Applications, 2003, 24: 1003-1017.
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同被引文献8

  • 1Song S Z,Park K R,Hernandez E L. Extreme Preservers of Maximal Column Rank Inequalities of MatrixMultiplications over Semirings [J]. J Korean Math Soc,2010,47(1) . 71-81.
  • 2Hwang S G,Kim S J,Song S Z. Linear Operators That Preserve Maximal Column Rank of Boolean Matrices [J].Linear and Multilinear Algebra, 1994, 36(4) : 305-313.
  • 3Beasley L B,Pullman N J. Boolean-Rank-Preserving Operators and Boolean-Rank-1 Spaces [J]. Linear AlgebraAppl, 1984, 59; 55-77.
  • 4Song S Z,Kang K T, Beasley L B. Linear Operators That Preserve Perimeters of Matrices over Semirings [J].J Korean Math Soc, 2009, 46(1) : 113-123.
  • 5Song S Z,Beasley L B,Cheon G S,et al. Rank and Perimeter Preservers of Boolean Rank-1 Matrices [J].J Korean Math Soc, 2004, 41(2) : 397-406.
  • 6Beasley L B, Guterman A E. Rank Inequalities over Semirings [J]. J Korean Math Soc, 2005,42(2) ; 223-241.
  • 7李栋梁,任苗苗,刘建华,李斌.半环上保持矩阵{1}-逆的线性算子[J].纯粹数学与应用数学,2013,29(2):185-189. 被引量：1
  • 8张廷海,甘爱萍.Min-Algebra上矩阵的μ值[J].江西师范大学学报（自然科学版）,2013,37(3):225-228. 被引量：2

引证文献1

吉林大学学报（理学版）
2013年 第6期

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