Solving the operator equation \(AX-XB = C\) with closed \(A\) and \(B\)
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Publication:1990887
DOI10.1007/s00020-018-2473-3OpenAlexW2883479668MaRDI QIDQ1990887
Nebojša Č. Dinčić, Bogdan D. Djordjević
Publication date: 26 October 2018
Published in: Integral Equations and Operator Theory (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1007/s00020-018-2473-3
Sturm-Liouville theory (34B24) Equations involving linear operators, with operator unknowns (47A62) Matrix and operator functional equations (39B42)
Related Items (7)
On a singular Sylvester equation with unbounded self-adjoint \(A\) and \(B\) ⋮ Yang-Baxter-Like Matrix Equation: A Road Less Taken ⋮ Singular Lyapunov operator equations: applications to \(C^*\)-algebras, Fréchet derivatives and abstract Cauchy problems ⋮ Singular Sylvester equation in Banach spaces and its applications: Fredholm theory approach ⋮ Operator algebra generated by an element from the module \(\mathcal {B}(V_1,V_2)\) ⋮ On the intrinsic structure of the solution set to the Yang-Baxter-like matrix equation ⋮ Classification and approximation of solutions to Sylvester matrix equation
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