Browse Journals

[1] J. Cao and Y. Xue, The characterizations and representations for the generalized inverses with prescribed idempotents in Banach algebras, (submitted).

[2] G. Chen, Y. Wei and Y. Xue, Perturbation analysis of the least square solution in Hilbert spaces, Linear Algebra Appl. 244 (1996), 69-80.

[3] G. Chen and Y. Xue, Perturbation analysis for the operator equation  in Banach spaces, J. Math. Anal. Appl. 212 (1997), 107-125.

[4] G. Chen and Y. Xue, The expression of the generalized inverse of the perturbed operator under type I perturbation in Hilbert spaces, Linear Algebra Appl. 285 (1998), 1-6.

[5] D. Cvetkovic-Ilić, X. Liu and J. Zhong, On the  generalized inverse in Banach Algebras, Appl. Math. Comput. 209(2) (2009), 191-196.

[6] D. S. Djordjević and Y. Wei, Outer generalized inverses in rings, Comm. Algebra 33 (2005), 3051-3060.

[7] F. Du and Y. Xue, Perturbation analysis of  on Banach spaces, Electronic J. Linear Algebra 23 (2012), 586-598.

[8] F. Du and Y. Xue, The perturbation of the group inverse under the stable perturbation in a unital ring, Filomat 27 (2013), 61-70.

[9] T. Kato, Perturbation Theory for Linear Operators, Springer-Verlag, New York, 1984.

[10] V. Müller, Spectral Theory of Linear Operators and Spectral Systems in Banach Algebras, 2nd Edition, Birkhäuser Verlag AG, 2007.

[11] M. Z. Nashed, Inner, outer and generalized inverses in Banach and Hilbert spaces, Numer. Funct. Anal. Optim. 9 (1987), 261-325.

[12] Y. Xue, Stable perturbation in Banach spaces, J. Aust. Math. Soc. 83 (2007), 1-14.

[13] Y. Xue, Stable Perturbations of Operators and Related Topics, World Scientific, 2012.

[14] Y. Xue and G. Chen, Some equivalent conditions of stable perturbation of operators in Hilbert spaces, Appl. Math. Comput. 147 (2004), 765-772.

[15] Q. Xu, Y. Wei and Y. Gu, Sharp norm-estimation for Moore-Penrose inverses of stable perturbations of Hilbert operators, SIAM J. Numer. Anal. 47 (2010), 4735-4758.