On the Bohr inequality of operators

DOI10.1016/j.jmaa.2006.12.024zbMath1141.47015OpenAlexW2000889805MaRDI QIDQ2370773

Fuzhen Zhang

Publication date: 29 June 2007

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.2006.12.024

zbMATH Keywords

operator inequalitypolar decompositionpositive operatormodulusBohr inequalitymatrix absolute valueoperator absolute value

Mathematics Subject Classification ID

Linear operator inequalities (47A63) Positive linear operators and order-bounded operators (47B65)

Related Items (9)

An order-preserving linear map from matrices to Banach \(\ast\)-algebras and applications ⋮ Inequalities for absolute value operators ⋮ Generalized numerical radius of a bounded linear operator ⋮ On the Bohr and Selberg inequalities in 2-*-inner product spaces ⋮ Eigenvalue extensions of Bohr's inequality ⋮ An operator equality involving a continuous field of operators and its norm inequalities ⋮ Generalizations of Bohr's inequality in HilbertC*-modules ⋮ Operator Popoviciu's inequality for superquadratic and convex functions of selfadjoint operators in Hilbert spaces ⋮ Generalizations of Bohr inequality for Hilbert space operators

Cites Work

• Unnamed Item
• Convex and concave functions of singular values of matrix sums
• Non-commutative operator Bohr inequality
• A quantitative version of the observation that the Hadamard product is a principal submatrix of the Kronecker product
• Triangle inequalities in operator algebras
• Analytic Inequalities
• Matrix theory. Basic results and techniques

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