Critères de complétude des vecteurs propres généralisés d'une classe d'opérateurs non auto-adjoints compacts ou à résolvante compacte et applications

DOI10.2977/prims/1195162962zbMath0879.47009OpenAlexW2022997142MaRDI QIDQ1922288

Marie-Thérèse Aimar, Abdelkader Intissar, Jean-Martin Paoli

Publication date: 5 January 1998

Published in: Publications of the Research Institute for Mathematical Sciences, Kyoto University (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.2977/prims/1195162962

zbMATH Keywords

field theory compact resolvent self adjoint operators abstract second order differential equations denseness of the generalized eigenvectors

Mathematics Subject Classification ID

Completeness of eigenfunctions and eigenfunction expansions in context of PDEs (35P10) Linear operators defined by compactness properties (47B07) Linear operators belonging to operator ideals (nuclear, (p)-summing, in the Schatten-von Neumann classes, etc.) (47B10) Spectrum, resolvent (47A10) Eigenvalue problems for linear operators (47A75) Linear symmetric and selfadjoint operators (unbounded) (47B25) General theory of partial differential operators (47F05) (Generalized) eigenfunction expansions of linear operators; rigged Hilbert spaces (47A70)

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