A note on the equation \(A X B = B = B X A\)

DOI10.1016/j.aml.2018.02.007zbMath1503.15013OpenAlexW2792149256MaRDI QIDQ1749471

Chujian Lin, Xiaoli Deng, Chun-Yuan Deng

Publication date: 16 May 2018

Published in: Applied Mathematics Letters (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.aml.2018.02.007

zbMATH Keywords

operator equationregular operatorcommon selfadjoint solution

Mathematics Subject Classification ID

Variational and other types of inequalities involving nonlinear operators (general) (47J20) Matrix equations and identities (15A24) Equations involving linear operators, with operator unknowns (47A62)

Related Items (2)

Note on the assumptions in working with generalized inverses ⋮ The commuting inverse along an element in semigroups

Cites Work

• The supremum of linear operators for the *-order
• Common Hermitian and positive solutions to the adjointable operator equations \(AX = C\), \(XB = D\)
• The minus partial order and the shorted matrix
• Positive solutions to the equations \(AX=C\) and \(XB=D\) for Hilbert space operators
• Hermitian and Nonnegative Definite Solutions of Linear Matrix Equations
• Natural structures on semigroups with involution
• Solutions of the system of operator equations $BXA=B=AXB$ via the *-order
• On Majorization, Factorization, and Range Inclusion of Operators on Hilbert Space
• Unnamed Item
• Unnamed Item

This page was built for publication: A note on the equation \(A X B = B = B X A\)