Hilbert空间中算子广义逆的共变性质  

On the Covariance of Generalized Inverses in Hilbert Space

作　　者：靳宏伟[1] 

机构地区：[1]广西民族大学理学院,南宁530006

出　　处：《广西民族大学学报（自然科学版）》2012年第2期61-63,共3页Journal of Guangxi Minzu University ：Natural Science Edition

基　　金：国家自然科学基金资助项目(11061005)

摘　　要：主要研究了Hilbert空间中算子的共变性质,给出了共变条件的充要条件;此外,考虑了EP算子的共变性质,并且证明了相同值域空间的EP算子具有相同的共变.This paper mainly studies the covariance set of elements having closed range in Hilbert space, which the sufficient and necessary conditions of the covariance set are given. Moreover, we consider the properties of covariance of the EP operators and prove that EP operators with common range space have the same covariance.

关 键 词：MOORE-PENROSE逆 共变 EP算子 

分 类 号：O151[理学—数学]