关于若当标准形存在性的推导

To Derive Existing of Jordan Form

本文首先定义 σ-子空间 ,接着给出了复数域上有限维线性空间关于线性变换 σ的若当分解定理的一个简单证明。利用若当分解定理证明了若当标准形的存在性。

ln this paper, frist, to define σ-cyclic subspace.To give a simple and short proof of the existence of the Jordan Decomposition of operator an a finite dimensional vector space over the complex numbers.Following ,using Jordan Decomposition Theory, given a proof about existing of Jordan Form.