摘要
提出了S-不变子空间的概念,它是不变子空间的推广.首先给出了S-不变子空间的若干性质,讨论了线性变换在向量空间任意基下的矩阵是分块对角矩阵的充分必要条件.进而,考虑了S-不变子空间的直和及直和分解.
We propose the definition of S-invariant subspace,which was a generalization of invariant subspace. We also give some properties of S-invariant subspace and the necessary and sufficient conditions for a linear transformation is a partitioned diagonal matrix under arbitrary basis of a vector space. In the end,we discuss the direct sum and direct sum decomposition of S-invariant subspace.
出处
《宁夏师范学院学报》
2018年第1期17-20,共4页
Journal of Ningxia Normal University
基金
甘肃省教育厅研究生导师项目(0801-03)
陇南师范高等专科学校校级科研项目(2016LSZK02002)
陇南师范高等专科学校教学改革项目(JXGG201714)
