Non-linear positive maps between C*-algebras

DOI10.1080/03081087.2018.1547357OpenAlexW2900128421WikidataQ114641336 ScholiaQ114641336MaRDI QIDQ5122477

Ali Dadkhah, Mohammad Sal Moslehian

Publication date: 23 September 2020

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

Full work available at URL: https://arxiv.org/abs/1811.03128

zbMATH Keywords

\(C^*\)-algebranonlinear mapsuperadditive\(n\)-positive mapLieb map

Mathematics Subject Classification ID

Linear operator inequalities (47A63) General theory of (C^*)-algebras (46L05) Linear operators on Banach algebras (47B48)

Related Items (4)

Continuity of positive nonlinear maps between $C^*$-algebras ⋮ Non-linear traces on the algebra of compact operators and majorization ⋮ Non-linear traces on matrix algebras, majorization, unitarily invariant norms and 2-positivity ⋮ Superadditivity of convex integral transform for positive operators in Hilbert spaces

Cites Work

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• Perspectives and completely positive maps
• Rearrangement inequalities for Hermitian matrices
• Monotonicity for entrywise functions of matrices
• A Schwarz inequality for positive linear maps on C\(^*\)-algebras
• Inequalities for some operator and matrix functions
• Positive map as difference of two completely positive or super-positive maps
• Lieb functions and \(m\)-positivity of norms
• Superadditivity inequalities
• Some function classes related to the class of convex functions
• Matrix Analysis
• Inequalities of generalized matrix functions via tensor products

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