Operator version of the best approximation problem in Hilbert \(C^\ast\)-modules

DOI10.1016/j.jmaa.2013.11.058zbMath1332.46053OpenAlexW2030381182MaRDI QIDQ2019234

Rajna Rajić, Ljiljana Arambašić

Publication date: 27 March 2015

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

Full work available at URL: https://doi.org/10.1016/j.jmaa.2013.11.058

zbMATH Keywords

best approximation\(C^\ast\)-algebraHilbert \(C^\ast\)-moduleBirkhoff-James orthogonalityclosed range operator

Mathematics Subject Classification ID

Linear operator inequalities (47A63) (C^*)-modules (46L08) General theory of (C^*)-algebras (46L05)

Related Items (2)

Distance formulae and best approximation in the space of compact operators ⋮ On best approximations to compact operators

Cites Work

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• A characterization of closed range operators
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• A characterization of Hilbert $C^*$-modules over finite dimensional $C^*$-algebras
• On generalized inverses in C*-algebras
• Positive definite kernels and Hilbert C*-modules
• Algebras of operators and closed range
• On Majorization, Factorization, and Range Inclusion of Operators on Hilbert Space
• Inner Product Modules Over B ∗ -Algebras
• Factorization of Operators on Banach Space
• Modules Over Operator Algebras

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