Continuity of positive nonlinear maps between $C^*$-algebras

DOI10.4064/sm200829-5-8zbMath1495.46040OpenAlexW4206207933MaRDI QIDQ5066721

Ali Dadkhah, Mohsen Kian, Mohammad Sal Moslehian

Publication date: 30 March 2022

Published in: Studia Mathematica (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.4064/sm200829-5-8

zbMATH Keywords

monotonicitycontinuitynonlinear mapstrong operator topology\(n\)-positive map

Mathematics Subject Classification ID

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

Related Items (2)

Non-linear traces on the algebra of compact operators and majorization ⋮ Non-linear traces on matrix algebras, majorization, unitarily invariant norms and 2-positivity

Cites Work

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• Complete characterization of Hadamard powers preserving Loewner positivity, monotonicity, and convexity
• A treatment of the Cauchy-Schwarz inequality in \(C^{*}\)-modules
• Rearrangement inequalities for Hermitian matrices
• Monotonicity for entrywise functions of matrices
• Inequalities for some operator and matrix functions
• On fractional Hadamard powers of positive definite matrices
• Operator maps of Jensen-type
• Lieb functions and \(m\)-positivity of norms
• Positivity preserving Hadamard matrix functions
• Positive Linear Maps of Operator Algebras
• Non-linear positive maps between C*-algebras
• Gruess inequality for some types of positive linear maps
• Functions preserving positive definiteness for sparse matrices
• Positive Linear Maps on C^*-Algebras
• Refinements of the operator Jensen-Mercer inequality
• Positive Functions on C ∗ -Algebras
• Analysis 2

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