Weighted binary relations for operators on Banach spaces

DOI10.1007/s00010-016-0413-3zbMath1361.47001OpenAlexW2289600981MaRDI QIDQ304022

Dijana Mosić

Publication date: 23 August 2016

Published in: Aequationes Mathematicae (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s00010-016-0413-3

zbMATH Keywords

generalized Drazin pre-orderminus partial ordersharp orderWg-Drazin inverse

Mathematics Subject Classification ID

Theory of matrix inversion and generalized inverses (15A09) General (adjoints, conjugates, products, inverses, domains, ranges, etc.) (47A05) General theory of linear operators (47A99)

Related Items (10)

The CMP inverse for rectangular matrices ⋮ On the minus partial order in control systems ⋮ Weighted pre-orders in a Banach algebra ⋮ Weighted G-Outer Inverse of Banach Spaces Operators ⋮ Weighted G-Drazin inverses and a new pre-order on rectangular matrices ⋮ Orders in rings based on the core-nilpotent decomposition ⋮ Weighted core–EP inverse of an operator between Hilbert spaces ⋮ Left and right generalized Drazin invertible operators on Banach spaces and applications ⋮ Weighted extended \(g\)-Drazin inverse ⋮ Nilpotent matrices and the minus partial order

Cites Work

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• Weighted binary relations involving the Drazin inverse
• Weighted pre-orders involving the generalized Drazin inverse
• On some new pre-orders defined by weighted Drazin inverses
• Space pre-order and minus partial order for operators on Banach spaces
• The weighted g-Drazin inverse for operators
• A generalized Drazin inverse
• New additive results for the g-Drazin inverse

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