Generalized Inverses of a Bordered Matrix of Operators
Frank J. Hall · SIAM Journal on Applied Mathematics · 1975
The results of Hall and Meyer in [2] are extended to (1)-inverses of a matrix of bounded linear operators. The blocks of $(1,3)$- and $(1,4)$-inverses of the matrix are completely characterized and are shown to be independent of each other. A form for the Moore–Penrose inverse of the matrix and related results are also obtained.