@Article{NM-15-113,
author = {Q. Huang and Z. Fang},
title = {Approximation theorems of Moore-Penrose inverse by outer inverses},
journal = {Numerical Mathematics, a Journal of Chinese Universities},
year = {2006},
volume = {15},
number = {2},
pages = {113--119},
abstract = {
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.
},
issn = {},
doi = {https://doi.org/},
url = {http://global-sci.org/intro/article_detail/nm/8020.html}
}