Developing Reverse Order Law for the Moore–Penrose Inverse with the Product of Three Linear Operators

In this paper, we study the reverse order law for the Moore–Penrose inverse of the product of three bounded linear operators in Hilbert spaces. We first present some equivalent conditions for the existence of the reverse order law ABC†=C†B†A†. Moreover, several equivalent statements of ℛAA∗ABC=ℛABC...

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Détails bibliographiques
Auteurs principaux: Yang Qi, Liu Xiaoji, Yu Yaoming
Format: article
Langue:EN
Publié: Hindawi Limited 2021
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Accès en ligne:https://doaj.org/article/7ecd1b2a961b480db7420aa7604fc1aa
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