On numerical range and numerical radius of convex function operators

DOI10.11568/kjm.2019.27.4.879zbMath1504.47016OpenAlexW2997787500MaRDI QIDQ5221081

Zaiz Khaoula, Mansour Abdelouahab

Publication date: 24 March 2020

Full work available at URL: https://doi.org/10.11568/kjm.2019.27.4.879

zbMATH Keywords

numerical rangeself-adjoint operatornumerical radiusconvex operator function

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) Numerical range, numerical radius (47A12)

Related Items (1)

Extended spectrum of the Aluthge transformation

Cites Work

• Hermite-Hadamard's type inequalities for convex functions of selfadjoint operators in Hilbert spaces
• Convex functions, monotone operators and differentiability.
• Notes on some inequalities for Hilbert space operators
• Jensen's inequality for operators and Loewner's theorem
• Numerical range and accretivity of operator products
• The numerical range of a product. II
• Matrix Analysis: Matrix Monotone Functions, Matrix Means, and Majorization
• Unitarily Invariant Operator Norms
• Numerical radius inequalities for Hilbert space operators
• Inequalities for the Numerical Radius of Linear Operators in Hilbert Spaces
• Multiplicative properties of the numerical radius in operator theory.
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