Grüss inequality for completely bounded maps

DOI10.1016/j.laa.2004.04.028zbMath1063.46042OpenAlexW1980503954MaRDI QIDQ1886539

Rajna Rajić, Ivan Perić

Publication date: 18 November 2004

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

Full work available at URL: https://doi.org/10.1016/j.laa.2004.04.028

zbMATH Keywords

\(C^*\)-algebracompletely bounded mapcompletely positive mapGrüss inequalitygeneralized numerical range\(q\)-numerical range\(q\)-numerical radius

Mathematics Subject Classification ID

Numerical range, numerical radius (47A12) Operator spaces and completely bounded maps (46L07) Inequalities for sums, series and integrals (26D15)

Related Items (10)

Discrete Grüss type inequality on fractional calculus ⋮ Combined dynamic Grüss inequalities on time scales ⋮ Nabla discrete fractional Grüss type inequality ⋮ Grüss type inequalities in normed spaces ⋮ Some remarks on the Chebyshev functional ⋮ A Grüss inequality for \(n\)-positive linear maps ⋮ Translation-invariant maps and applications ⋮ Grüss type inequalities for positive linear maps on C^∗-algebras ⋮ The orthogonal projections and several inequalities ⋮ Pre-Grüss and Grüss-Ostrowski like inequalities in Banach spaces

Cites Work

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• Similarity problems and completely bounded maps
• Growth conitions and the numerical range in a Banach algebra
• Some convexity theorems for the generalized numerical ranges
• A generalized numerical range: the range of a constrained sesquilinear form
• ON THE DIAMETER OF THE GENERALIZED NUMERICAL RANGE
• Positive Functions on C ∗ -Algebras
• A matrix formulation of Grüss inequality

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