Submultiplicativity vs subadditivity for unitarily invariant norms.

DOI10.1016/j.laa.2003.08.006zbMath1040.15021OpenAlexW1982691344MaRDI QIDQ1418973

Xingzhi Zhan, Fumio Hiai

Publication date: 14 January 2004

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

Full work available at URL: https://doi.org/10.1016/j.laa.2003.08.006

zbMATH Keywords

Hadamard productSubadditivityMajorizationPositive semidefinite matrixMatrix Young inequalityParallel sumSubmultiplicativityUnitarily invariant norm

Mathematics Subject Classification ID

Norms of matrices, numerical range, applications of functional analysis to matrix theory (15A60) Miscellaneous inequalities involving matrices (15A45)

Cites Work

• Unnamed Item
• On an inequality of Lieb and Thirring
• Concavity of certain maps on positive definite matrices and applications to Hadamard products
• Log majorization and complementary Golden-Thompson type inequalities
• Majorization relations for Hadamard products
• Norm inequalities related to operator monotone functions
• On the Singular Values of a Product of Operators
• Hadamard and conventional submultiplicativity for unitarily invariant norms on matrices
• Matrix inequalities
• Inequalities involving unitarily invariant norms and operator monotone functions

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