The operator equation AX-XB=C with normal A and B

DOI10.2140/pjm.1982.102.447zbMath0524.47012OpenAlexW1967922680MaRDI QIDQ584701

Allen Schweinsberg

Publication date: 1982

Published in: Pacific Journal of Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.2140/pjm.1982.102.447

zbMATH Keywords

operator equation

Mathematics Subject Classification ID

Hermitian and normal operators (spectral measures, functional calculus, etc.) (47B15) Equations involving linear operators, with operator unknowns (47A62)

Related Items (7)

On the solvability of generalized Sylvester operator equations ⋮ Perturbation of spectra of operator matrices and local spectral theory ⋮ Spectral and topological properties of linear operators on a Hilbert space ⋮ On the generalized Sylvester operator equation AX − Y B  =  C ⋮ On the operator equation \(AXB - XD = E\) ⋮ Unnamed Item ⋮ Solvability of Sylvester operator equation with bounded subnormal operators in Hilbert spaces

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