A study of orthogonality of bounded linear operators
Sign Up to like & getrecommendations! Published in 2020 at "Banach Journal of Mathematical Analysis"
DOI: 10.1007/s43037-019-00050-0
Abstract: We study Birkhoff-James orthogonality and isosceles orthogonality of bounded linear operators between Hilbert spaces and Banach spaces. We explore Birkhoff-James orthogonality of bounded linear operators in light of a new notion introduced by us and… read more here.
Keywords: linear operators; bounded linear; orthogonality bounded; birkhoff james ... See more keywords
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