Positivity of partitioned Hermitian matrices with unitarily invariant norms

DOI10.1007/s11117-014-0306-4zbMath1325.15019arXiv1407.0331OpenAlexW2067233221MaRDI QIDQ496776

Fuzhen Zhang, Chi-Kwong Li

Publication date: 22 September 2015

Published in: Positivity (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1407.0331

zbMATH Keywords

polar decompositionunitarily invariant normtrace normpositive semi-definite matrix

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) Positive matrices and their generalizations; cones of matrices (15B48) Positive linear operators and order-bounded operators (47B65)

Related Items (1)

An inequality for tensor product of positive operators and its applications

Cites Work

• Some aspects of the theory of norms
• Positivity of matrices with generalized matrix functions
• Positive semidefiniteness of a \(3\times 3\) matrix related to partitioning
• Matrices of Schur functions
• Partitioned Hermitian matrices
• Generalizations of Ky Fan's Dominance Theorem

This page was built for publication: Positivity of partitioned Hermitian matrices with unitarily invariant norms