The common positive solution to adjointable operator equations with an application
From MaRDI portal
Publication:714082
DOI10.1016/j.jmaa.2012.07.001zbMath1264.47021OpenAlexW2061831763MaRDI QIDQ714082
Qing-Wen Wang, Yu-Ping Zhang, Chang-Zhou Dong
Publication date: 19 October 2012
Published in: Journal of Mathematical Analysis and Applications (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1016/j.jmaa.2012.07.001
positive solutionMoore-Penrose inversesystem of operator equationsHilbert \(C^\ast\)-modulereflexive positive semidefinite solution
Theory of matrix inversion and generalized inverses (15A09) Matrix equations and identities (15A24) (C^*)-modules (46L08) Equations involving linear operators, with operator unknowns (47A62)
Related Items
The general solutions to some systems of matrix equations, Common solutions to some operator equations over HilbertC*–modules and applications, Theη-bihermitian solution to a system of real quaternion matrix equations, The \(\{P, Q, k + 1 \}\)-reflexive solution to system of matrix equations \(A X = C\), \(X B = D\), A system of matrix equations and its applications, On the Hermitian \(R\)-conjugate solution of a system of matrix equations, Optimization of a nonlinear Hermitian matrix expression with application, Solutions to optimization problems on ranks and inertias of a matrix function with applications, A note on majorization and range inclusion of adjointable operators on Hilbert \(C^\ast\)-modules, The \(^*\) congruence class of the solutions to a system of matrix equations
Cites Work
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- On the Hermitian solutions to a system of adjointable operator equations
- Solutions to operator equations on Hilbert \(C^*\)-modules
- Common Hermitian and positive solutions to the adjointable operator equations \(AX = C\), \(XB = D\)
- Equations \(ax = c\) and \(xb = d\) in rings and rings with involution with applications to Hilbert space operators
- The solutions to some operator equations
- The reflexive and anti-reflexive solutions of the matrix equation \(AX=B\).
- The constrained solutions of two matrix equations
- Nonnegative-definite and positive-definite solutions to the matrix equation \(\mathbb{A}\times\mathbb{A}^*=\mathbb{B}\) -- revisited
- Positive solutions to the equations \(AX=C\) and \(XB=D\) for Hilbert space operators
- The general solution to a system of adjointable operator equations over Hilbert C^∗-modules
- Nonnegative definite and positive definite solutions to the matrix equationAXA*=B
- Hermitian and Nonnegative Definite Solutions of Linear Matrix Equations
- Generalized Reflexive Matrices: Special Properties and Applications
- Positive and real-positive solutions to the equationaxa*=cinC*-algebras
- Reflexive solution to a system of matrix equations
- Modules Over Operator Algebras
- Positive solutions to a system of adjointable operator equations over Hilbert \(C^*\)-modules