scientific article; zbMATH DE number 7012613

zbMath1412.47009MaRDI QIDQ4618390

Mehdi Mohammadzadeh Karizaki, Mahmoud Hassani

Publication date: 5 February 2019

Full work available at URL: http://jlta.iauctb.ac.ir/article_513813.html

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zbMATH Keywords

closed rangeHilbert \(C^*\)-modulecomplemented submodule

Mathematics Subject Classification ID

Matrix equations and identities (15A24) (C^*)-modules (46L08) Equations involving linear operators, with operator unknowns (47A62)

Cites Work

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• Explicit solution of the operator equation \(A^{*}X+X^{*}A=B\)
• The solutions to some operator equations
• Maps preserving semi-Fredholm operators on Hilbert \(C^*\)-modules
• Reverse order law for the Moore-Penrose inverse
• Geometrical aspects of Hilbert \(C^*\)-modules
• Self-duality and \(C^*\)-reflexivity of Hilbert \(C^*\)-moduli
• The reverse order law for Moore-Penrose inverses of operators on Hilbert \(C^*\)-modules
• Positive semi-definite matrices of adjointable operators on Hilbert \(C^{*}\)-modules
• The solutions to the operator equation $TXS^* -SX^*T^*=A$ in Hilbert $C^*$-modules
• The Equations A^TX\pm X^TA=B
• Operator matrix of Moore–Penrose inverse operators on Hilbert C^*-modules

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