Fréchet interpolation spaces and Grothendieck operator ideals.
Jesús M. Fernández Castillo (1991)
Collectanea Mathematica
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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.