TY - JOUR
T1 - Approximation theorems of Moore-Penrose inverse by outer inverses
AU - Q. Huang & Z. Fang
JO - Numerical Mathematics, a Journal of Chinese Universities
VL - 2
SP - 113
EP - 119
PY - 2006
DA - 2006/05
SN - 15
DO - http://doi.org/
UR - https://global-sci.org/intro/article_detail/nm/8020.html
KW - 
AB - 
Let $X$ and $Y$ be Hilbert spaces and $T$
a bounded linear operator from $X$ into $Y$ with a separable
range. In this note, we prove, without assuming the closeness of the range
of $T$, that the Moore-Penrose inverse $T^+$ of $T$ can
be approximated by its bounded outer inverses $T_n^{\#}$
with finite ranks.