Indicial equivalents of multiparameter definiteness conditions in finite dimensions

DOI10.1017/S0013091500022410zbMath0572.47007MaRDI QIDQ3689719

Paul A. Binding

Publication date: 1984

Published in: Proceedings of the Edinburgh Mathematical Society (Search for Journal in Brave)

zbMATH Keywords

quadratic formspositive definitenesssmallest eigenvalueminimax principleright definitenessmultiparameter eigenvalue problems

Mathematics Subject Classification ID

Eigenvalues, singular values, and eigenvectors (15A18) Spectrum, resolvent (47A10) Functions whose values are linear operators (operator- and matrix-valued functions, etc., including analytic and meromorphic ones) (47A56) (Generalized) eigenfunction expansions of linear operators; rigged Hilbert spaces (47A70)

Related Items (4)

Existence and uniqueness of index multiparametric eigenvalues ⋮ Two parameter eigenvalue problems for matrices ⋮ Classification of eigentuples for uniformly elliptic multiparameter problems ⋮ On the minimal eigenvalue of a positive definite operator determinant

Cites Work

• Multiparameter eigenvalue problems. Volume I: Matrices and compact operators
• Abstract oscillation theorems for multiparameter eigenvalue problems
• Discrete and continuous boundary problems
• A Variational Approach to Multi-Parameter Eigenvalue Problems in Hilbert Space
• Multiparameter definiteness conditions
• Existence conditions for two-parameter eigenvalue problems
• Multiparameter definiteness conditions II

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