Common Hermitian and positive solutions to the adjointable operator equations \(AX = C\), \(XB = D\)
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Publication:927741
DOI10.1016/j.laa.2008.01.030zbMath1153.47012OpenAlexW1968328641MaRDI QIDQ927741
Publication date: 9 June 2008
Published in: Linear Algebra and its Applications (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1016/j.laa.2008.01.030
Theory of matrix inversion and generalized inverses (15A09) Matrix equations and identities (15A24) (C^*)-modules (46L08) Equations involving linear operators, with operator unknowns (47A62)
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Cites Work
- On the symmetric solutions of a linear matrix equation
- Symmetric solutions of linear matrix equations by matrix decompositions
- Positive solutions to the equations \(AX=C\) and \(XB=D\) for Hilbert space operators
- Positive semi-definite matrices of adjointable operators on Hilbert \(C^{*}\)-modules
- Hermitian and Nonnegative Definite Solutions of Linear Matrix Equations
- Positive and real-positive solutions to the equationaxa*=cinC*-algebras
- Unnamed Item
- Unnamed Item
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