C *-module operators which satisfy the generalized Cauchy–Schwarz type inequality

DOI10.1080/03081087.2022.2160862arXiv2205.05164OpenAlexW4313396983MaRDI QIDQ6198695

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Publication date: 23 February 2024

Published in: Linear and Multilinear Algebra (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/2205.05164

zbMATH Keywords

operator inequalityhyponormal operatorsHilbert \(C^*\)-moduleCauchy-Schwarz inequality

Mathematics Subject Classification ID

Linear operator inequalities (47A63) (C^*)-modules (46L08)

Related Items (2)

Refinements of the Cauchy-Schwarz inequality in pre-Hilbert \(C^\ast\)-modules and their applications ⋮ \(A\)-spectral permanence property for \(C^\ast\)-algebras

Cites Work

• A treatment of the Cauchy-Schwarz inequality in \(C^{*}\)-modules
• Operator-valued inner product and operator inequalities
• A Schwarz inequality for positive linear maps on C\(^*\)-algebras
• Operators characterized by certain Cauchy-Schwarz type inequalities
• Closed range and nonclosed range adjointable operators on Hilbert \(C^*\)-modules
• The polar decomposition for adjointable operators on Hilbert \(C^*\)-modules and centered operators
• A Cauchy-Schwarz inequality for operators with applications
• Advances in operator Cauchy-Schwarz inequalities and their reverses
• On the Cauchy-Schwarz inequality and its reverse in semi-inner product \(C^*\)-modules
• On majorization and range inclusion of operators on Hilbert C*-modules
• On operators satisfying the generalized Cauchy-Schwarz inequality
• Operator inequalities on Hilbert C^*-modules via the Cauchy-Schwarz inequality
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