Solutions to the system of operator equations \(A_1 X = C_1\), \(X B_2 = C_2\), and \(A_3 X B_3 = C_3\) on Hilbert \(C^*\)-modules

DOI10.1155/2013/826564zbMath1470.47048OpenAlexW1494408342WikidataQ58917556 ScholiaQ58917556MaRDI QIDQ2319158

Xiao Chun Fang, Enran Hou, Ge Dong

Publication date: 16 August 2019

Published in: Abstract and Applied Analysis (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1155/2013/826564

zbMATH Keywords

Hilbert \(C^{*}\)-modulesadjointable operator equations

Mathematics Subject Classification ID

(C^*)-modules (46L08) Equations involving linear operators, with operator unknowns (47A62)

Related Items (2)

Variational inequalities with multivalued lower order terms and convex functionals in Orlicz-Sobolev spaces ⋮ Existence results for some nonlinear elliptic equations with measure data in Orlicz-Sobolev spaces

Cites Work

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• Solutions to operator equations on Hilbert \(C^*\)-modules. II
• Solutions to operator equations on Hilbert \(C^*\)-modules
• The realization of multiplier Hilbert bimodule on bidual space and Tietze extension theorem
• The induced representation of \(C^*\)-groupoid dynamic systems
• Positive solutions to the equations \(AX=C\) and \(XB=D\) for Hilbert space operators
• On Majorization, Factorization, and Range Inclusion of Operators on Hilbert Space
• Positive solutions to a system of adjointable operator equations over Hilbert \(C^*\)-modules

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