Non-commutative operator Bohr inequality

DOI10.1016/S0022-247X(03)00185-9zbMath1028.47009MaRDI QIDQ1399858

Omar Hirzallah

Publication date: 30 July 2003

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

zbMATH Keywords

positive operatornormal operatorunitarily invariant normHilbert-Schmidt normoperator Bohr inequality

Mathematics Subject Classification ID

Norms (inequalities, more than one norm, etc.) of linear operators (47A30) Hermitian and normal operators (spectral measures, functional calculus, etc.) (47B15) Positive linear operators and order-bounded operators (47B65)

Related Items (15)

On the Bohr inequality of operators ⋮ On Bohr’s Inequalities ⋮ Bohr's inequalities for Hilbert space operators ⋮ An order-preserving linear map from matrices to Banach \(\ast\)-algebras and applications ⋮ Some results around quadratic maps ⋮ Inequalities for sums and direct sums of Hilbert space operators ⋮ Inequalities for absolute value operators ⋮ On the Bohr and Selberg inequalities in 2-*-inner product spaces ⋮ Eigenvalue extensions of Bohr's inequality ⋮ Generalizations of Bohr's inequality in HilbertC*-modules ⋮ Dunkl-Williams inequality for operators associated with \(p\)-angular distance ⋮ A Dunkl-Williams type inequality for absolute value operators ⋮ Operator Popoviciu's inequality for superquadratic and convex functions of selfadjoint operators in Hilbert spaces ⋮ A new proof of an inequality of Bohr for Hilbert space operators ⋮ Generalizations of Bohr inequality for Hilbert space operators

Cites Work

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• Some inequalities for commutators and an application to spectral variation
• Interpolation zwischen den Klassen 𝔖_p von Operatoren in Hilberträumen
• Analytic Inequalities

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