关于两幂等变换值域与核的一点注记

Two Idempotent Transformation Value and Core

幂等变换的值域与核与其所定义的线性空间之间有着非常密切的关系.对已知两幂等变换的值域与核分别相等的充分必要条件进行分析,把该结论的充分性推广到p次幂等变换,并得到一个新的必要条件,两者结合,最终将原充分必要条件推广到了p次幂等变换的值域与核上来.

Idempotent transformation value and core are closely connected with the linear space defined by them. The necessary conditions for two equal idempotent values and cores have been analyzed, whose conclusion has been further ap- plied to P idempotent transformation to achieve a new necessary condition. The two being combined will make the original necessary condition extend to p idempotent transformation value and core.