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
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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.