A criteria of completeness for compact operators in Hilbert space

  • Julio Alcántara Bode Pontificia Universidad Católica del Perú
Palabras clave: espacios de Hilbert, operadores

Resumen

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.

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Cómo citar
Alcántara Bode, J. (2004). A criteria of completeness for compact operators in Hilbert space. Pro Mathematica, 18(35-36), 47-54. Recuperado a partir de https://revistas.pucp.edu.pe/index.php/promathematica/article/view/10218