A class of normal dilation matrices affirming the Marcus-de Oliveira conjecture

DOI10.7153/oam-2021-15-09zbMath1480.15009arXiv2006.14846OpenAlexW3140336642WikidataQ123135764 ScholiaQ123135764MaRDI QIDQ3383853

Kijti Rodtes

Publication date: 16 December 2021

Published in: Operators and Matrices (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/2006.14846

zbMATH Keywords

normal matricesnormal dilationMarcus de Oliveira conjecture

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) Hermitian, skew-Hermitian, and related matrices (15B57) Linear preserver problems (15A86)

Cites Work

• Unnamed Item
• Some notes on de Oliveira's determinantal conjecture
• OMC for scalar multiples of unitaries
• On symmetric functions of the eigenvalues of the sum of two Hermitian matrices
• On the determinantal conjecture of Marcus and de Oliveira
• The validity of the Marcus-de Oliveira conjecture for essentially Hermitian matrices
• Essentially Hermitian matrices revisited
• On a conjecture of G. N. de Oliveira on determinants
• Bounds for the Determinant of the Sum of Hermitian Matrices

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