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Skew Spectrum of the Cartesian Product of an Oriented Graph with an Oriented Hypercube Read chapter Read first chapter

2013 | OriginalPaper | Chapter

Moore–Penrose Inverse of Perturbed Operators on Hilbert Spaces

Authors : Shani Jose, K. C. Sivakumar

Published in: Combinatorial Matrix Theory and Generalized Inverses of Matrices

Publisher: 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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previous chapter On the Entries of Orthogonal Projection Matrices
next chapter The Reverse Order Law in Indefinite Inner Product Spaces
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Metadata
Title
Moore–Penrose Inverse of Perturbed Operators on Hilbert Spaces
Authors
Shani Jose
K. C. Sivakumar
Copyright Year
2013
Publisher
Springer India
Book
Combinatorial Matrix Theory and Generalized Inverses of Matrices

Print ISBN: 978-81-322-1052-8

Electronic ISBN: 978-81-322-1053-5

Copyright Year: 2013

DOI
https://doi.org/10.1007/978-81-322-1053-5_10

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