Conditions that the product of operators is an EP operator in Hilbert C*-module

Jalaeian, Maryam; Karizaki, Mehdi Mohammadzadeh; Hassani, Mahmoud

doi:10.1080/03081087.2019.1567673

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Cited by 5 publications

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“…In recent years, Sharifi [10] and Bonakdar [11] studied the reverse order law for Moore-Penrose inverse of operators in Hilbert C *modules. Recent studies, especially [12][13][14][15], motivate us to study the problem in the framework of Hilbert C * -modules.…”

Section: Letmentioning

confidence: 99%

Reverse order law for the Moore-Penrose invertible operators on Hilbert C * -modules

Hong¹

2023

ScienceAsia

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It is well known that an adjointable operator between Hilbert C * -modules admits a Moore-Penrose inverse if and only if it has closed range. In this paper, we give certain necessary and sufficient conditions for the existence of the reverse order law for the Moore-Penrose inverse of closed range adjointable operators in Hilbert C * -module settings. Some new related results are also derived, which can be used to establish connections with the reverse order law in Hilbert C * -modules.

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