New identities for Moore-Penrose inverses of some operator products and their reverse-order laws

DOI10.1007/s10114-023-1645-5OpenAlexW4389445028MaRDI QIDQ6186465

Mehdi Mohammadzadeh Karizaki, Javad Farokhi Ostad

Publication date: 9 January 2024

Published in: Acta Mathematica Sinica. English Series (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s10114-023-1645-5

zbMATH Keywords

Moore-Penrose inversereverse-order law

Mathematics Subject Classification ID

Hilbert and pre-Hilbert spaces: geometry and topology (including spaces with semidefinite inner product) (46C05) General (adjoints, conjugates, products, inverses, domains, ranges, etc.) (47A05)

Cites Work

• Reverse order law for the Moore-Penrose inverse
• The reverse order law revisited
• The product of operators with closed range and an extension of the reverse order law
• The polar decomposition for adjointable operators on Hilbert \(C^*\)-modules and centered operators
• The reverse order law for Moore-Penrose inverses of operators on Hilbert \(C^*\)-modules
• The product of operators and their the Moore-Penrose inverses on Hilbert C^*-modules
• Some identities for Moore–Penrose inverses of matrix products
• Conditions that the product of operators is an EP operator in Hilbert C*-module
• Moore-Penrose inverse of product operators in Hilbert C*- modules
• Note on the Generalized Inverse of a Matrix Product
• The Pseudo-Inverse of a Product

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