A note on the generalized Bott–Duffin inverse

摘要

By generalizing subspaces T,T found in [G. Chen, G. Liu, Y. Xue, Perturbation analysis of the generalized Bott–Duffin inverse of L-zero matrices, Linear Multilinear Algebra 51 (2003) 11–20] to subspaces T,SCn, for which TS=Cn, we get that if AT∩S=0, is (PT,SAPT,S)+, then S=T, that is to say A is a T-zero matrix (i.e. AT∩T=0).