The n-inverses of a matrix

DOI10.2298/FIL1712801GzbMath1488.15004OpenAlexW2569356301MaRDI QIDQ5162035

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Publication date: 1 November 2021

Published in: Filomat (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.2298/fil1712801g

zbMATH Keywords

generalized inversematrix equationnilpotent matrix\(n\)-inverse of a matrix

Mathematics Subject Classification ID

Theory of matrix inversion and generalized inverses (15A09) Matrix equations and identities (15A24) General (adjoints, conjugates, products, inverses, domains, ranges, etc.) (47A05)

Cites Work

• Unnamed Item
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• Tensor product of \(n\)-isometries
• On the second parameter of an \((m, p)\)-isometry
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• Classification of hereditary matrices
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• Some properties of \(m\)-isometries and \(m\)-invertible operators on Banach spaces
• Products of \(m\)-isometries
• \(m\)-isometries, \(n\)-symmetries and other linear transformations which are hereditary roots
• An isometry plus a nilpotent operator is an \(m\)-isometry. Applications
• The \((m,q)\)-isometric weighted shifts on \(l_{p}\) spaces
• Elementary operators which are \(m\)-isometries
• Invertible weighted shift operators which are 𝑚-isometries
• Tensor-splitting properties of $n$-inverse pairs of operators
• m-isometries on Banach spaces
• Powers of m-isometries
• A Representation Theorem for Cyclic Analytic Two-Isometries
• Tensor product of left n-invertible operators
• Structures of left n-invertible operators and their applications

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