The Operator Equation BX - XA = Q with Selfadjoint A and B
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Publication:5554648
DOI10.2307/2035971zbMath0167.42801OpenAlexW4235553706MaRDI QIDQ5554648
Publication date: 1969
Published in: Proceedings of the American Mathematical Society (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.2307/2035971
Related Items (16)
On the solvability of generalized Sylvester operator equations ⋮ On the equations \(Ax=q\) and \(SX-XT=Q\) ⋮ The linear bi-spatial tensor equation \(\varphi_{ij}A^iXB^j=C\) ⋮ On a singular Sylvester equation with unbounded self-adjoint \(A\) and \(B\) ⋮ On (k,n) power quasinormal operators ⋮ Spectral and topological properties of linear operators on a Hilbert space ⋮ On the generalized Sylvester operator equation AX − Y B = C ⋮ Simultaneous solutions of matrix equations and simultaneous equivalence of matrices ⋮ Unnamed Item ⋮ Existence of solution of the operator equation \(AX-XB=Q\) with possibly unbounded A,B,Q ⋮ Transmutation Operators and Their Applications ⋮ Roth's solvability criteria for the matrix equations \(AX-\hat{X}B=C\) and \(X-A\hat{X}B=C\) over the skew field of quaternions with an involutive automorphism \(q \mapsto \hat{q}\) ⋮ 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 ⋮ The operator equation \(AX-XB=C\) with unbounded operators \(A\) and \(B\) and related abstract Cauchy problems ⋮ Solvability of Sylvester operator equation with bounded subnormal operators in Hilbert spaces
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