Left Definite Multiparameter Eigenvalue Problems

DOI10.2307/1998708zbMath0494.47017OpenAlexW3143633436MaRDI QIDQ3957494

Paul A. Binding

Publication date: 1982

Full work available at URL: https://doi.org/10.2307/1998708

zbMATH Keywords

commuting operatorsself-adjoint extensionsdeterminantal operatorseigenvector expansionsleft definite multiparameter eigenvalue problems

Mathematics Subject Classification ID

Eigenvalues, singular values, and eigenvectors (15A18) Spectrum, resolvent (47A10) Linear symmetric and selfadjoint operators (unbounded) (47B25) Multilinear algebra, tensor calculus (15A69) Convex sets and cones of operators (47L07)

Related Items (15)

Elliptic multiparameter eigenvalue problems ⋮ Perturbation theory of multiparameter eigenvalue problems ⋮ Uniform convergence of multiparameter eigenfunction expansions ⋮ Classification of eigentuples for uniformly elliptic multiparameter problems ⋮ Multiparameter root vectors ⋮ Second Root Vectors for Multiparameter Eigenvalue Problems of Fredholm Type ⋮ On a problem of B. D. Sleeman ⋮ Spectral decomposition of uniformly elliptic multiparameter eigenvalue problems ⋮ Sensitivity and Backward Perturbation Analysis of Multiparameter Eigenvalue Problems ⋮ Multiparameter Sturm-Liouville problems with eigenparameter dependent boundary conditions ⋮ Root vectors for geometrically simple two-parameter eigenvalues ⋮ On root vectors of self-adjoint pencils ⋮ Inverse spectral problem for Sturm - Liouville operator with prescribed partial trace ⋮ Erratum to ``On a problem of B. D. Sleeman ⋮ Dual variational approaches to multiparameter eigenvalue problems

Cites Work

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• Multiparameter eigenvalue problems. Volume I: Matrices and compact operators
• Sturm-Liouville problems with several parameters
• On multiparameter theory
• Solvability of a linear operator system
• Abstract multiparameter theory. I
• Abstract multiparameter theory. II
• Multiparameter spectral theory
• Multiparameter spectral theory in Hilbert space
• The completeness and expansion theorems associated with the multi- parameter eigenvalue problem in ordinary differential equations
• A multi-parameter eigenvalue problem
• Another positivity result for determinantal operators
• On generalised and quadratic eigenvalue problems

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