Fréchet interpolation spaces and Grothendieck operator ideals

• Autores: Jesús María Fernández Castillo
• Localización: Collectanea mathematica, ISSN 0010-0757, Vol. 42, Fasc. 2, 1991, págs. 147-156
• Idioma: inglés
• Títulos paralelos:
  • Espacios de interpolación de Fréchet e ideales de operadores de Grothendieck
• Enlaces
  • Texto completo
• Resumen

  • Starting with a continuous injection I: X ? Y between Banach spaces, we are interested in the Fréchet (non Banach) space obtained as the reduced projective limit of the real interpolation spaces. We study relationships among the pertenence of I to an operator ideal and the pertenence of the given interpolation space to the Grothendieck class generated by that ideal.