Integral and limit representations of the outer inverse in Banach space

We consider the various representations of the outer inverse of an operator A on Banach spaces.

[1]  B. Barnes.  Common operator properties of the linear operators $RS$ and $SR$ , 1998 .

[2]  Hebing Wu,et al.  (T,S) splitting methods for computing the generalized inverse and rectangular systems , 2001, Int. J. Comput. Math..

[3]  Yimin Wei,et al.  A note on computing the generalized inverse A T,S (2) of a matrix A , 2002 .

[4]  Yimin Wei,et al.  A note on the representation and approximation of the outer inverse AT, S(2) of a matrix A , 2004, Appl. Math. Comput..

[5]  Yimin Wei,et al.  On integral representation of the generalized inverse AT, S(2) , 2003, Appl. Math. Comput..

[6]  Yimin Wei,et al.  ON INTEGRAL REPRESENTATIONS OF THE DRAZIN INVERSE IN BANACH ALGEBRAS , 2002, Proceedings of the Edinburgh Mathematical Society.

[7]  J. J. Koliha.  A generalized Drazin inverse , 1996, Glasgow Mathematical Journal.

[8]  Stephen L. Campbell,et al.  Recent applications of generalized inverses , 1982 .

[9]  Yimin Wei,et al.  The Representation and Computational Procedures for the Generalized Inverse of an Operator A in Hilbert Spaces , 2009 .

[10]  Jerry J. Koliha,et al.  Perturbation of the Drazin inverse for closed linear operators , 2000 .

[11]  Yimin Wei.  The representation and approximation for the weighted Moore-Penrose inverse in Hilbert space , 2003, Appl. Math. Comput..

[12]  M. Nashed.  Inner, outer, and generalized inverses in banach and hilbert spaces , 1987 .

[13]  Hebing Wu,et al.  On the perturbation and subproper splittings for the generalized inverse AT,S(2) of rectangular matrix A , 2001 .

[14]  A. Dajić,et al.  The Weighted g-drazin inverse for operators , 2006, Journal of the Australian Mathematical Society.

[15]  Yimin Wei,et al.  A characterization and representation of the generalized inverse A(2)T,S and its applications , 1998 .

[16]  Yimin Wei,et al.  The representation and approximation of the W-weighted Drazin inverse of linear operators in Hilbert space , 2003, Appl. Math. Comput..

[17]  C. W. Groetsch,et al.  Generalized inverses of linear operators : representation and approximation , 1977 .

[18]  D. Djordjevic,et al.  Splittings of operators and generalized inverses , 2001, Publicationes Mathematicae Debrecen.

[19]  S. R. Caradus,et al.  Generalized inverses and operator theory , 1978 .

[20]  Yong-Lin Chen,et al.  Representation and approximation of the outer inverse AT,S(2) of a matrix A , 2000 .

[21]  Predrag S. Stanimirovic,et al.  On the Generalized Drazin Inverse and Generalized Resolvent , 2001 .