Operator matrices in class \(C_{\rho }\)

DOI10.1016/j.laa.2006.08.001zbMath1109.47008OpenAlexW2154135100MaRDI QIDQ860997

El Hassan Zerouali, Gilles Cassier

Publication date: 9 January 2007

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

Full work available at URL: https://doi.org/10.1016/j.laa.2006.08.001

zbMATH Keywords

invariant subspacesoperator matrices\(\rho\)-kernelstrict \(\rho\)-contraction

Mathematics Subject Classification ID

Norms of matrices, numerical range, applications of functional analysis to matrix theory (15A60) Numerical range, numerical radius (47A12) Invariant subspaces of linear operators (47A15) Dilations, extensions, compressions of linear operators (47A20)

Related Items

Asymptotic behaviours and generalized Toeplitz operators

Cites Work

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• \(\rho\)-contraction and \(2\times 2\) matrix
• Contractions in von Neumann algebras
• Convexity properties of operator radii associated with unitary \(p\)-dilations
• Mapping theorems and Harnack ordering for \rho-contractions
• On Majorization, Factorization, and Range Inclusion of Operators on Hilbert Space
• On the characterization of \(2\times 2\) \(\rho\)-contraction matrices
• Generalized Schur complements and oblique projections