Resumen de Fréchet interpolation spaces and Grothendieck operator ideals

Jesús María Fernández Castillo

• 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.