A further result on the cyclic subspace
Huailei Wang
Abstract: 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.
原文链接: http://www.oalib.com/paper/3109946#.X0fE1X7ithE
