Geršgorin theory and the definiteness of determinantal operators

DOI10.1017/S0308210500018151zbMath0643.47018OpenAlexW2315181269MaRDI QIDQ3785435

Patrick J. Browne, Douglas R. Farenick

Publication date: 1987

Published in: Proceedings of the Royal Society of Edinburgh: Section A Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1017/s0308210500018151

zbMATH Keywords

tensor product spacedeterminantal operatorbounded Hermitian operatorsstrongly diagonally dominantuniform right-definiteness

Mathematics Subject Classification ID

Hermitian and normal operators (spectral measures, functional calculus, etc.) (47B15) (Generalized) eigenfunction expansions of linear operators; rigged Hilbert spaces (47A70)

Cites Work

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• Multiparameter eigenvalue problems. Volume I: Matrices and compact operators
• Minimal Gerschgorin sets
• Minimal Gerschgorin sets. III
• Limits for the characteristic roots of a matrix. II
• Another positivity result for determinantal operators
• A Recurring Theorem on Determinants