The \(J\)-numerical range of a \(J\)-Hermitian matrix and related inequalities

DOI10.1016/j.laa.2008.01.027zbMath1144.15020OpenAlexW2150501627MaRDI QIDQ924371

João da Providência, Hiroshi Nakazato, Natália Bebiano

Publication date: 15 May 2008

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

Full work available at URL: https://doi.org/10.1016/j.laa.2008.01.027

zbMATH Keywords

Schur inequalityKrein spaceKy Fan inequality\(J\)-Hermitian matrix\(J\)-numerical range

Mathematics Subject Classification ID

Norms of matrices, numerical range, applications of functional analysis to matrix theory (15A60) Numerical range, numerical radius (47A12) Miscellaneous inequalities involving matrices (15A45) Spaces with indefinite inner product (Kre?n spaces, Pontryagin spaces, etc.) (46C20)

Related Items (5)

The numerical range of non-negative operators in Krein spaces ⋮ Analogs of Cauchy-Poincaré and Fan-Pall interlacing theorems for \(J\)-Hermitian and \(J\)-normal matrices ⋮ Indefinite higher-rank numerical ranges ⋮ Indefinite numerical range of 3 × 3 matrices ⋮ On the Courant--Fischer theory for Krein spaces

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