A criteria of completeness for compact operators in Hilbert space

A necessary and sufficient condition is given for completeness of the set of eigenfunctions and generalized eigenfunctions associated to the non zero eigenvalues of a compact operator on a Hilbert Space.

Autor Principal: Alcántara Bode, Julio
Formato: Artículo
Idioma: spa
Publicado: Pontificia Universidad Católica del Perú 2014
Materias:
Acceso en línea: http://revistas.pucp.edu.pe/index.php/promathematica/article/view/10218/10663
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Sumario: A necessary and sufficient condition is given for completeness of the set of eigenfunctions and generalized eigenfunctions associated to the non zero eigenvalues of a compact operator on a Hilbert Space.