TY - JOUR
T1 - Representation for the W-weighted Drazin inverse of linear operators
AU - Liu, Xiaoji
AU - Zhong, Jin
AU - Yu, Yaoming
PY - 2010
Y1 - 2010
N2 - In this paper we study the W-weighted Drazin inverse of the bounded linear operators between Banach spaces and its representation theorem. Based on this representation, utilizing the spectral theory of Banach space operators, we derive an approximating expression of the W-weighted Drazin inverse and an error bound. Also, a perturbation theorem for the W-weighted Drazin inverse is uniformly obtained from the representation theorem.
AB - In this paper we study the W-weighted Drazin inverse of the bounded linear operators between Banach spaces and its representation theorem. Based on this representation, utilizing the spectral theory of Banach space operators, we derive an approximating expression of the W-weighted Drazin inverse and an error bound. Also, a perturbation theorem for the W-weighted Drazin inverse is uniformly obtained from the representation theorem.
UR - http://www.springerlink.com/content/411866v274298632/fulltext.pdf
UR - https://www.scopus.com/pages/publications/77956619798
U2 - 10.1007/s12190-009-0323-9
DO - 10.1007/s12190-009-0323-9
M3 - Article
SN - 1598-5865
VL - 34
SP - 317
EP - 328
JO - Journal of Applied Mathematics and Computing
JF - Journal of Applied Mathematics and Computing
IS - 1-2
ER -