Idéaux fermés d'une algèbre de Beurling régulière

• Autores: Eric Decreux
• Localización: Publicacions matematiques, ISSN 0214-1493, Vol. 42, Nº 2, 1998, págs. 461-497
• Idioma: francés
• DOI: 10.5565/publmat_42298_12
• Títulos paralelos:
  • Ideales cerrados de un álgebra de Beurling regular
  • Closed ideals of a regular Beurling algebra
• Enlaces
  • Texto completo
• Resumen

  • The structure of closed ideals of a regular algebra containing the classical $A^{\infty}$ is considered. Several division and approximation results are proved and a characterization of those ideals whose intersection with $A^{\infty}$ is not $\{ 0 \}$ is obtained. A complete description of the ideals with countable hull is given, with applications to synthesis of hyperfunctions.