Three observations on the determinantal range

DOI10.1016/j.laa.2004.06.006zbMath1074.15032OpenAlexW2038952276MaRDI QIDQ1779394

Graça Soares, Natália Bebiano

Publication date: 1 June 2005

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

Full work available at URL: https://doi.org/10.1016/j.laa.2004.06.006

zbMATH Keywords

linear preservercross ratiodeterminantal range

Mathematics Subject Classification ID

Determinants, permanents, traces, other special matrix functions (15A15) Norms of matrices, numerical range, applications of functional analysis to matrix theory (15A60)

Related Items (4)

On the determinantal range of matrix products ⋮ On the \(C\)-determinantal range for special classes of matrices ⋮ Ranks and determinants of the sum of matrices from unitary orbits ⋮ Extremal case in Marcus–Oliveira conjecture and beyond

Cites Work

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• Some notes on de Oliveira's determinantal conjecture
• Conditions for the generalized numerical range to be real
• Some analogies between the c-numerical range and a certain variation on this concept
• Some remarks on a conjecture of de Oliveira
• On the determinantal conjecture of Marcus and de Oliveira
• Elementary inclusion relations for generalized numerical ranges
• Some further notes on the Marcus-de Oliveira determinantal conjecture
• The validity of the Marcus-de Oliveira conjecture for essentially Hermitian matrices
• On a conjecture of Marcus and de Oliveira
• Positive operators and an inertia theorem
• Some convexity theorems for the generalized numerical ranges
• Bounds for the Determinant of the Sum of Hermitian Matrices

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