On the operator equation \(AX-XB=C\) with unbounded operators \(A\), \(B\), and \(C\)

DOI10.1155/S1085337501000665zbMath1004.34044OpenAlexW1967380437MaRDI QIDQ1599600

Thanh Lan Nguyen

Publication date: 5 June 2002

Published in: Abstract and Applied Analysis (Search for Journal in Brave)

Full work available at URL: https://eudml.org/doc/49717

zbMATH Keywords

regularityexistenceunbounded operatorsbounded solutionoperator equationnonhomogeneous Cauchy problem

Mathematics Subject Classification ID

One-parameter semigroups and linear evolution equations (47D06) Linear functional-differential equations (34K06) Linear differential equations in abstract spaces (34G10)

Related Items (6)

On a singular Sylvester equation with unbounded self-adjoint \(A\) and \(B\) ⋮ Singular Lyapunov operator equations: applications to \(C^*\)-algebras, Fréchet derivatives and abstract Cauchy problems ⋮ Solving the operator equation \(AX-XB = C\) with closed \(A\) and \(B\) ⋮ Singular Sylvester equation in Banach spaces and its applications: Fredholm theory approach ⋮ Analytic functional calculus for two operators ⋮ Classification and approximation of solutions to Sylvester matrix equation

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