Positive linear maps on normal matrices

DOI10.1142/S0129167X1850088XOpenAlexW2894780021MaRDI QIDQ4561471

Jean-Christophe Bourin, Eun-Young Lee

Publication date: 6 December 2018

Published in: International Journal of Mathematics (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/2006.09692

zbMATH Keywords

matrix inequalitiespositive linear mapsunitary orbitsmatrix geometric meanSchur products

Mathematics Subject Classification ID

Norms (inequalities, more than one norm, etc.) of linear operators (47A30) Norms of matrices, numerical range, applications of functional analysis to matrix theory (15A60)

Related Items

On the Russo-Dye theorem for positive linear maps ⋮ Diagonal and off-diagonal blocks of positive definite partitioned matrices ⋮ Positive linear maps on Hilbert space operators and noncommutative Lp spaces

Cites Work

• A Schwarz inequality for positive linear maps on C\(^*\)-algebras
• Positive definite matrices
• A note on unitary operators in \(C^ *\)-algebras
• Matrix inequalities from a two variables functional
• Unitary orbits of Hermitian operators with convex or concave functions
• A Schwarz Inequality for Convex Operator Functions
• Positive Functions on C ∗ -Algebras