Matricial Radius: A Relation of Numerical radius with Matricial Range

DOI10.30495/JME.2021.1550zbMath1483.15013arXiv1911.10748MaRDI QIDQ5027136

Mahdi Dehghani, Mostafa Sattari, Mohsen Kian

Publication date: 3 February 2022

Full work available at URL: https://arxiv.org/abs/1911.10748

zbMATH Keywords

numerical rangenumerical radiuscompletely positive mappingmatricial range

Mathematics Subject Classification ID

Norms of matrices, numerical range, applications of functional analysis to matrix theory (15A60) Numerical range, numerical radius (47A12)

Cites Work

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• \(C^\ast\)-convexity of norm unit balls
• Some lower bounds for the numerical radius of Hilbert space operators
• Some remarks on C*-convexity
• Matricial ranges of quadratic operators
• Another generalization of the numerical radius for Hilbert space operators
• Cartesian decomposition and numerical radius inequalities
• A generalization of the numerical radius
• Subalgebras of C\(^*\)-algebras. II
• Matrical extensions of the numerical range: a brief survey
• Numerical radius inequalities for Hilbert space operators
• Epigraph of operator functions
• Inequalities for the Numerical Radius of Linear Operators in Hilbert Spaces

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