Weighted CMP inverse of an operator between Hilbert spaces

Mosić, Dijana; Kolundžija, Milica Z.

doi:10.1007/s13398-018-0603-z

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Cited by 18 publications

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“…Interesting results including different kinds of weighted generalized inverses can be found in [14,15,16].…”

Section: Introductionmentioning

confidence: 99%

The W -weighted BT inverse

Ferreyra

Thome

Torigino

2022

Quaestiones Mathematicae

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The core-EP and BT inverses for rectangular matrices were studied recently in the literature.The main aim of this paper is to unify both concepts by means of a new kind of generalized inverse called W -weighted q-BT inverse. We analyze its existence and uniqueness by considering an adequate matrix system. Basic properties and some interesting characterizations are proved for this new weighted generalized inverse. Also, we give a canonical form of the W -weighted q-BT inverse by means of the weighted core-EP decomposition.

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“…Interesting results including different kinds of weighted generalized inverses can be found in [14,15,16].…”

Section: Introductionmentioning

confidence: 99%