Some convexity theorems for the generalized numerical ranges

DOI10.1080/03081089608818441zbMath0869.15017OpenAlexW2058615463MaRDI QIDQ3124869

Chi-Kwong Li

Publication date: 31 August 1997

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

Full work available at URL: https://doi.org/10.1080/03081089608818441

zbMATH Keywords

convexity\(q\)-numerical range\(C\)-numerical range

Mathematics Subject Classification ID

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

Related Items (11)

Grüss inequality for completely bounded maps ⋮ The q-numerical range and the Davis-Wielandt shell of reducible 3 × 3 matrices ⋮ Multiplicative Preservers of C-Numerical Ranges and Radii ⋮ The \(q\)-numerical range of a reducible matrix via a normal operator ⋮ Isometries of a generalized numerical radius ⋮ q-numerical ranges of normal and convex matrices ⋮ Some Results on the q-Numerical ⋮ Three observations on the determinantal range ⋮ Davis-Wielandt shell and \(q\)-numerical range ⋮ A range associated with skew symmetric matrix ⋮ The boundary of theq-numerical range of a reducible matrix

Cites Work

• The constrained bilinear form and the C-numerical range
• Elementary inclusion relations for generalized numerical ranges
• Constrained extrema of bilinear functionals
• C-numerical ranges andC-numerical radii

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