期刊文献+

对称矩阵空间上秩1非增长的加法映射(英文) 被引量:1

Rank-one nonincreasing additive mappings on symmetric matrices
下载PDF
导出
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. The author describes those additive mappings from a second symmetric product space to another, over a ?eld of characteristic not 2 or 3, which preserve decomposable elements of the form λu · u where u is a vector and λ is a scalar.
作者 Ming-Huat Lim
出处 《黑龙江大学自然科学学报》 CAS 2004年第4期35-36,共2页 Journal of Natural Science of Heilongjiang University
基金 Supported in part by an IRPA research grant from the Ministry of Science Technology and Innovation ofMalaysia
关键词 加法映射 对称矩阵 additive mappings symmetric matrices rank
  • 相关文献

参考文献4

  • 1BEASLEY L B,LOEWY R. Rank preservers on spaces of symmetric matrices[J]. Linear and Multilinear Algebra, 1997,43:63-86.
  • 2CAO C G ,ZHANG X. Additive rank-one preserving surjections on symmetric matrix spaces[J]. Linear Algebra Appl, 2003,362:145-151.
  • 3LIM M H. Linear transformations on symmetric matrices[J]. Linear and Multilinear Algebra, 1979,7:47-57.
  • 4LIM M H. Linear mappings on second symmetric product spaces that preserve rank less than or equal to one[J]. Linear and Multilinear Algebra, 1990,26:187-193.

同被引文献1

引证文献1

相关作者

内容加载中请稍等...

相关机构

内容加载中请稍等...

相关主题

内容加载中请稍等...

浏览历史

内容加载中请稍等...
;
使用帮助 返回顶部