Multiparameter definiteness conditions II

DOI10.1017/S0308210500031656zbMath0511.47013OpenAlexW4241566750MaRDI QIDQ4748660

Paul A. Binding

Publication date: 1982

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/s0308210500031656

zbMATH Keywords

convex conesmultiparameter eigenvalue problemssemispacesdeterminantal operatorsleft and right definiteness

Mathematics Subject Classification ID

Spectrum, resolvent (47A10) Multilinear algebra, tensor calculus (15A69) Convex sets in (n) dimensions (including convex hypersurfaces) (52A20) (Generalized) eigenfunction expansions of linear operators; rigged Hilbert spaces (47A70)

Related Items (max. 100)

Perturbation theory of multiparameter eigenvalue problems ⋮ On the minimal eigenvalue of a positive definite operator determinant ⋮ On a problem of R. G. D. Richardson ⋮ On the completeness of eigenvectors of right definite multiparameter problems ⋮ Indicial equivalents of multiparameter definiteness conditions in finite dimensions

Cites Work

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• Multiparameter eigenvalue problems. Volume I: Matrices and compact operators
• Comparison cones for multiparameter eigenvalue problems
• On a problem of B. D. Sleeman
• Multiparameter spectral theory in Hilbert space
• A recurring theorem about pairs of quadratic forms and extensions: A survey
• Maximal convex sets
• The structure of semispaces
• Spectral properties of two-parameter eigenvalue problems
• Another positivity result for determinantal operators
• On generalised and quadratic eigenvalue problems
• Multiparameter definiteness conditions
• Existence conditions for two-parameter eigenvalue problems
• 11.— A Left Definite Multiparameter Eigenvalue Problem in Ordinary Differential Equations
• Positivity results for determinantal operators
• Three‐Point Boundary Value Problems in Differential Equations

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