Hölder-type norm inequalities for Schur products of matrices

DOI10.1016/0024-3795(87)90057-7zbMath0633.15013OpenAlexW2074062249MaRDI QIDQ1095991

B. George

Publication date: 1987

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

Full work available at URL: https://doi.org/10.1016/0024-3795(87)90057-7

zbMATH Keywords

Schur productunitarily invariant normsHölder-type inequalitiesoperator radiussymmetric gauge functions

Mathematics Subject Classification ID

Norms of matrices, numerical range, applications of functional analysis to matrix theory (15A60) Miscellaneous inequalities involving matrices (15A45) Conditioning of matrices (15A12)

Related Items (19)

Monotonicity for entrywise functions of matrices ⋮ A Cauchy-Schwarz type norm inequality ⋮ A Cauchy-Schwarz inequality for operators with applications ⋮ Invariant of the hypergeometric group associated to the quantum cohomology of the projective space ⋮ A softer, stronger Lidskii theorem ⋮ Unitarily invariant norm submultiplicativity ⋮ Linear operators preserving unitary similarity invariant norms ⋮ Norms that are invariant under unitary similarities and theC-numerical radii ⋮ A quantitative version of the observation that the Hadamard product is a principal submatrix of the Kronecker product ⋮ Höder–type inequalities associated with operator radii and schur products^† ⋮ Some singular value inequalities via convexity ⋮ Cases of equality for a singular value inequality for the Hadamard product ⋮ Norm of Schur Multiplication for Schatten Norm ⋮ Cauchy-Schwarz inequalities associated with positive semidefinite matrices ⋮ Monotonicity properties of norms ⋮ Induced norms of the Schur multiplier operator ⋮ G-majorization inequalities for linear maps, II ⋮ Faces of the unit ball of a unitarily invariant norm ⋮ Majorizations and inequalities in matrix theory

Cites Work

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• Concavity of certain maps on positive definite matrices and applications to Hadamard products
• A note on unitary operators in \(C^ *\)-algebras
• Convexity properties of operator radii associated with unitary \(p\)-dilations
• Unitarily invariant generalized matrix norms and hadamard products
• Matrix Analysis
• Inequalities: theory of majorization and its applications

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