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2013 | OriginalPaper | Buchkapitel

Moore–Penrose Inverse of Perturbed Operators on Hilbert Spaces

verfasst von : Shani Jose, K. C. Sivakumar

Erschienen in: Combinatorial Matrix Theory and Generalized Inverses of Matrices

Verlag: Springer India

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Abstract

Rank-one perturbations of closed range bounded linear operators on Hilbert space are considered. The Moore–Penrose inverses of these operators are obtained. The results are generalized to obtain the Moore–Penrose inverse of operators of the form \(A+V_{1}GV_{2}^{*}\). Applications to nonnegativity of the Moore–Penrose inverse and operator partial orders are considered.

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Metadaten
Titel
Moore–Penrose Inverse of Perturbed Operators on Hilbert Spaces
verfasst von
Shani Jose
K. C. Sivakumar
Copyright-Jahr
2013
Verlag
Springer India
DOI
https://doi.org/10.1007/978-81-322-1053-5_10