A NEW PERTURBATION THEOREM FOR MOORE-PENROSE METRIC GENERALIZED INVERSE OF BOUNDED LINEAR OPERATORS IN BANACH SPACES
Sign Up to like & getrecommendations! Published in 2017 at "Acta Mathematica Scientia"
DOI: 10.1016/s0252-9602(17)30095-4
Abstract: Abstract In this paper, we investigate a new perturbation theorem for the Moore-Penrose metric generalized inverses of a bounded linear operator in Banach space. The main tool in this paper is “the generalized Neumann lemma”… read more here.
Keywords: moore penrose; penrose metric; bounded linear; perturbation ... See more keywords
Perturbation of the Moore–Penrose Metric generalized inverse with applications to the best approximate solution problem in Lp(Ω, μ)
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DOI: 10.1080/00207160.2018.1435866
Abstract: ABSTRACT Let (), let with closed range. In this paper, utilizing the gap between closed subspaces and the perturbation bounds of metric projections, we present some new perturbation results of the Moore–Penrose metric generalized inverse.… read more here.
Keywords: moore penrose; penrose metric; generalized inverse; inverse applications ... See more keywords