Hadamard and conventional submultiplicativity for unitarily invariant norms on matrices

DOI10.1080/03081088708817746zbMath0605.15017OpenAlexW2001721116MaRDI QIDQ3743441

Charles R. Johnson, Roger A. Horn

Publication date: 1987

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

Full work available at URL: https://doi.org/10.1080/03081088708817746

zbMATH Keywords

matrix normsingular valueHadamard submultiplicativespectrally dominantunitarily invariant vector norm

Mathematics Subject Classification ID

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

Related Items

Monotonicity for entrywise functions of matrices ⋮ On the spectral radius, energy and Estrada index of the arithmetic–geometric matrix of a graph ⋮ Inequalities for unitarily invariant norms and bilinear matrix products ⋮ Unitarily invariant norm submultiplicativity ⋮ Converse to a singular value inequality common to the hadamard and conventional products ⋮ The singular values of a Hadamard product: a basic inequality ⋮ Another proof of a singular value inequality concerning Hadamard products of matrices ⋮ Submultiplicativity vs subadditivity for unitarily invariant norms. ⋮ Hadamard product submultiplicativity of certain induced norms ⋮ Majorzation and singular values ⋮ A quantitative version of the observation that the Hadamard product is a principal submatrix of the Kronecker product ⋮ High, low, and quantitative roads in linear algebra ⋮ Some singular value inequalities via convexity ⋮ Cases of equality for a singular value inequality for the Hadamard product ⋮ G-majorization inequalities for linear maps, II ⋮ A fixed point theorem and a norm inequality for operator means ⋮ Faces of the unit ball of a unitarily invariant norm ⋮ Majorizations and inequalities in matrix theory

Cites Work

• On the Schur multiplier norm of matrices
• The norm of the Schur product operation
• Unitarily invariant generalized matrix norms and hadamard products
• Matrix Analysis
• Hadamard products of matrices
• Inequalities between the Two Kinds of Eigenvalues of a Linear Transformation
• On the Singular Values of a Product of Completely Continuous Operators
• Maximum Properties and Inequalities for the Eigenvalues of Completely Continuous Operators