The ultimate estimate of the upper norm bound for the summation of operators

DOI10.1016/j.jfa.2005.07.001zbMath1116.47011OpenAlexW1967673811MaRDI QIDQ820066

Chi-Kwong Li, Man-Duen Choi

Publication date: 6 April 2006

Published in: Journal of Functional Analysis (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.jfa.2005.07.001

zbMATH Keywords

triangle inequalityoperator normunitarily invariant normnormal dilationsspectral circles

Mathematics Subject Classification ID

Norms (inequalities, more than one norm, etc.) of linear operators (47A30) Norms of matrices, numerical range, applications of functional analysis to matrix theory (15A60) Numerical range, numerical radius (47A12) Commutators, derivations, elementary operators, etc. (47B47) Dilations, extensions, compressions of linear operators (47A20) Spectral sets of linear operators (47A25)

Related Items (12)

Solutions to operator equations on Hilbert \(C^*\)-modules. II ⋮ Leibniz seminorms and best approximation from \(C^*\)-subalgebras ⋮ Compatibility and Schur complements of operators on Hilbert \(C^*\)-module ⋮ Norm Equalities for Derivations ⋮ Notes on the norm estimates for the sum of two matrices ⋮ Norm bounds for summation of two normal matrices. ⋮ Unitary orbits in 1-dimensional NCCW complexes ⋮ On the existence of unitarily invariant norm under some conditions ⋮ Norm estimates of the partial transpose map on the tensor products of matrices ⋮ Norms of elementary operators ⋮ Ranks and determinants of the sum of matrices from unitary orbits ⋮ Spectra, norms and numerical ranges of generalized quadratic operators

Cites Work

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• Orthogonality of matrices and some distance problems
• Norm bounds for summation of two normal matrices.
• The norm of a derivation
• Some Metric Inequalities in the Space of Matrices
• Inequalities and equalities for the Cartesian decomposition of complex matrices

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