Translation-invariant maps and applications

DOI10.1016/j.jmaa.2008.12.041zbMath1167.15021OpenAlexW1989143351MaRDI QIDQ1018165

Marek Niezgoda

Publication date: 13 May 2009

Published in: Journal of Mathematical Analysis and Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.jmaa.2008.12.041

zbMATH Keywords

eigenvaluepreordercommutatornumerical radiussingular valuenorm boundsGrüss type inequalityG-contractive mapG-ma\-jo\-ri\-za\-tionG(c)-rangetranslation-invariant mapvectorial interval

Mathematics Subject Classification ID

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

Related Items

Commutators and accretive operators ⋮ Weighted quadrature rules via Grüss type inequalities for weighted \(L^{p}\) spaces ⋮ Majorization and relative concavity ⋮ Grüss type inequalities in normed spaces ⋮ Grüss and Ostrowski type inequalities ⋮ A new inequality of Ostrowski-Grüss type and applications to some numerical quadrature rules ⋮ Estimates on the gap in Bullen's inequality ⋮ The orthogonal projections and several inequalities ⋮ Pre-Grüss and Grüss-Ostrowski like inequalities in Banach spaces

Cites Work

• G-invariant norms and G(c)-radii
• Inequalities for commutators of positive operators
• Group-invariant analogues of Hadamard's inequality
• Inequalities on the singular values of an off-diagonal block of a Hermitian matrix
• A generalization of Grüss's inequality in inner product spaces and applications
• Group majorization and Schur type inequalities
• Convex analysis on Cartan subspaces.
• A Grüss type discrete inequality in inner product spaces and applications
• Grüss inequality for completely bounded maps
• G-majorization with applications to matrix orderings
• Norm inequalities for commutators of positive operators and applications
• Some remarks on normal maps with applications to eigenvalues and singular values of matrices
• Norms of commutators of self-adjoint operators
• Unitarily invariant norms related to the numerical radius
• Extensions of inequalities involving Kantorovich constant
• Commutators, pinchings, and spectral variation
• On the Chebyshev functional
• An inequality for the trace of the product of two symmetric matrices
• An extension of a result of Lewis
• C-numerical ranges andC-numerical radii
• Group majorization, eaton triples and numerical range^∗
• Group Invariance and Convex Matrix Analysis
• Inequalities: theory of majorization and its applications
• A matrix formulation of Grüss inequality
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item