Inequalities involving the numerical radius

DOI10.1080/03081089408818310zbMath0814.15017OpenAlexW1987888977MaRDI QIDQ4322506

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Publication date: 9 February 1995

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

Full work available at URL: https://doi.org/10.1080/03081089408818310

zbMATH Keywords

inequalitiespolynomialsnumerical radius

Mathematics Subject Classification ID

Norms of matrices, numerical range, applications of functional analysis to matrix theory (15A60) Miscellaneous inequalities involving matrices (15A45)

Related Items (6)

Some aspects of the theory of norms ⋮ Scalar approximants of quadratic operators with applications ⋮ Numerical radius inequalities via convexity ⋮ On the characterization of \(2\times 2\) \(\rho\)-contraction matrices ⋮ Applications of polar decompositions of idempotent and 2-nilpotent operators ⋮ A new approach to numerical radius of quadratic operators

Cites Work

• Numerical radii of zero-one matrices
• The Field of Values of a Complex Matrix, an Explicit Description in the $2 \times 2$ Case
• The numerical range of certain 0,1-matrices^†
• Some mapping theorems for the numerical range

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