On solution of \(AX+{\alpha{}}XB=A\), range inclusion and parallel sum

DOI10.1016/0022-247X(92)90092-RzbMath0785.47019OpenAlexW2088854743MaRDI QIDQ1209506

Mohammad Khadivi

Publication date: 16 May 1993

Published in: Journal of Mathematical Analysis and Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/0022-247x(92)90092-r

zbMATH Keywords

parallel sumsrange inclusions of bounded linear operators on Hilbert spacesolvability of certerin operator equations

Mathematics Subject Classification ID

Linear operator inequalities (47A63) Equations involving linear operators, with operator unknowns (47A62)

Cites Work

• Parallel sums and norm convergence
• Pairs of operators with trivial range intersection
• Range inclusion and the UUP-property
• On operator ranges
• Operator means, fixed points, and the norm convergence of monotone approximants.
• Shorted Operators. II
• On Majorization, Factorization, and Range Inclusion of Operators on Hilbert Space
• Shorted Operators

This page was built for publication: On solution of \(AX+{\alpha{}}XB=A\), range inclusion and parallel sum