On root vectors of self-adjoint pencils

DOI10.1016/0022-1236(87)90126-1zbMath0613.47018OpenAlexW2047545831MaRDI QIDQ1819340

Karim Seddighi, Paul A. Binding

Publication date: 1987

Published in: Journal of Functional Analysis (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/0022-1236(87)90126-1

zbMATH Keywords

root vectorsPontryagin spacegeneralised eigenvalue problem

Mathematics Subject Classification ID

Functions whose values are linear operators (operator- and matrix-valued functions, etc., including analytic and meromorphic ones) (47A56) Linear operators on spaces with an indefinite metric (47B50) (Generalized) eigenfunction expansions of linear operators; rigged Hilbert spaces (47A70)

Related Items (7)

Multiparameter root vectors ⋮ Spectral decomposition of uniformly elliptic multiparameter eigenvalue problems ⋮ Oscillation theory for indefinite Sturm-Liouville problems with eigenparameter-dependent boundary conditions ⋮ Some General Local Variational Principles ⋮ On commuting compact self-adjoint operators on a Pontryagin space ⋮ Elliptic Problems Involving an Indefinite Weight ⋮ Strongly definitizable linear pencils in Hilbert space

Cites Work

• Multiparameter eigenvalue problems. Volume I: Matrices and compact operators
• Matrices and indefinite scalar products
• Double unconditional bases associated with a quadratic characteristic parameter problem
• Elliptic multiparameter eigenvalue problems
• Left Definite Multiparameter Eigenvalue Problems
• Interpolation zwischen den Klassen 𝔖_p von Operatoren in Hilberträumen
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