Open AccessA note on the perturbation bounds of W-weighted Drazin inverse of linear operator in Banach space
Author(s) -
Xuezhong Wang,
Haifeng Ma,
Marija Cvetković
Publication year - 2017
Publication title -
filomat
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.449
H-Index - 34
eISSN - 2406-0933
pISSN - 0354-5180
DOI - 10.2298/fil1702505w
Subject(s) - mathematics , drazin inverse , banach space , bounded operator , linear operators , bounded function , inverse , finite rank operator , bounded inverse theorem , pure mathematics , linear map , perturbation (astronomy) , operator (biology) , mathematical analysis , geometry , physics , biochemistry , chemistry , repressor , quantum mechanics , transcription factor , gene
We investigate the perturbation bound of the W-weighted Drazin inverse for bounded linear operators between Banach spaces and present two explicit expressions for the W-weighted Drazin inverse of bounded linear operators in Banach space, which extend the results in Chin. Anna. Math., 21C:1 (2000) 39-44 by Wei.