Denseness of the generalized eigenvectors of an H-S discrete operator

DOI10.1016/0022-1236(89)90074-8zbMath0679.47014OpenAlexW1971027498MaRDI QIDQ1822743

John Locker, Patrick M. Lang

Publication date: 1989

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

Full work available at URL: https://doi.org/10.1016/0022-1236(89)90074-8

zbMATH Keywords

resolventdifferential operatorascentgeneralized eigenspaceirregular boundary conditionsclosed densely defined linear operator in a Hilbert spaceH-S discrete operatorHilbert-Schmidt discrete operatorHilbert-Schmidt oprator

Mathematics Subject Classification ID

Linear operators belonging to operator ideals (nuclear, (p)-summing, in the Schatten-von Neumann classes, etc.) (47B10) (Semi-) Fredholm operators; index theories (47A53) Ordinary differential operators (34L99) (Generalized) eigenfunction expansions of linear operators; rigged Hilbert spaces (47A70)

Related Items (9)

The spectral theory of second order two-point differential operators. IV: The associated projections and the subspace \(S_ \infty(L)\) ⋮ Spectral representation of the resolvent of a discrete operator ⋮ The spectral theory of second order two-point differential operators: I. A priori estimates for the eigenvalues and completeness ⋮ Spectral theory for a differential operator: Characteristic determinant and Green's function ⋮ Spectral theory of two-point differential operators determined by \(-D^ 2\). I: Spectral properties ⋮ The completeness of generalized eigenfunctions of a discrete operator ⋮ Spectral theory of two-point differential operators determined by \(-D^ 2\). II: Analysis of cases ⋮ The spectral theory of second order two-point differential operators. III: The eigenvalues and their asymptotic formulas ⋮ Density of generalized eigenvectors of a class of compact nonselfadjoint operators and applications

Cites Work

• Spectral theory of two-point differential operators determined by \(-D^ 2\). I: Spectral properties
• Spectral theory for Fredholm operators
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