Hadamard products and Golden-Thompson type inequalities

DOI10.1016/0024-3795(95)00094-1zbMath0860.15019OpenAlexW2066886162MaRDI QIDQ1923144

Yanyan Li

Publication date: 28 April 1997

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

Full work available at URL: https://doi.org/10.1016/0024-3795(95)00094-1

zbMATH Keywords

Hermitian matricesHadamard productsunitarily invariant normGolden-Thompson type inequalitiesupper and lower bounds of Golden-Thompson type

Mathematics Subject Classification ID

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

Related Items (2)

An extended Lie--Trotter formula and its applications ⋮ Specht's ratio and complementary inequalities to Golden-Thompson type inequalities on the Hadamard product

Cites Work

• Majorization, doubly stochastic matrices, and comparison of eigenvalues
• Concavity of certain maps on positive definite matrices and applications to Hadamard products
• The Golden-Thompson trace inequality is complemented
• Log majorization and complementary Golden-Thompson type inequalities
• Convex trace functions and the Wigner-Yanase-Dyson conjecture
• Inequalities: theory of majorization and its applications

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