A Further Result on the Cyclic Subspace

• 作者: Huailei Wang
• 来源期刊: 线性代数与矩阵理论研究进展(英文)
• 学科: 数学
• 关键词: POWER KERNEL POWER Image CYCLIC SUBSPACE JORDAN Block Matrix Linear Map
• 年，卷（期）: 2014,（2）
• 页码范围: 96-99
• 页数: 4页
• 分类号: O1

摘要

Based on the geometric theories of vector space, a Cross-Identity theorem is proved for the relationship between the power kernels and power images of linear map on its cyclic subspace. By this result, a new approach of proof is found for the fact that a square matrix with only one eigenvalue and one-dimensional eigenspace is similar to a Jordan block matrix.