Solvability of Sylvester operator equation with bounded subnormal operators in Hilbert spaces

DOI10.11568/kjm.2019.27.2.515OpenAlexW2954361292MaRDI QIDQ5204510

Hariz Bekkar Lourabi, Mansour Abdelouahab

Publication date: 4 December 2019

Full work available at URL: http://journal.kkms.org/index.php/kjm/article/view/768

zbMATH Keywords

Sylvester equationsimilar operatorssubnormal operatorsFuglede-Putnam property

Mathematics Subject Classification ID

Matrix equations and identities (15A24) Equations involving linear operators, with operator unknowns (47A62) Linear operators and ill-posed problems, regularization (47A52)

Cites Work

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• The operator equation AX-XB=C with normal A and B
• On the operator equation \(AXB - XD = E\)
• Explicit solution of the operator equation \(A^{*}X+X^{*}A=B\)
• On a Theorem of Fuglede and Putnam^†
• On Relaxation of Normality in the Fuglede-Putnam Theorem
• How and Why to Solve the Operator Equation AX −XB = Y
• Solution of the Sylvester matrix equation AXB ^T + CXD ^T = E
• The Operator Equation BX - XA = Q with Selfadjoint A and B
• Solution of the Equation $AX + XB = C$ by Inversion of an $M \times M$ or $N \times N$ Matrix
• The Equations AX - YB = C and AX - XB = C in Matrices

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