Fréchet interpolation spaces and Grothendieck operator ideals.
Fernández Castillo, Jesús M.
Collectanea Mathematica, Tome 42 (1991), p. 147-156 / Harvested from Biblioteca Digital de Matemáticas
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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.

Publié le : 1991-01-01
DMLE-ID : 494 
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     title = {Fr\'echet interpolation spaces and Grothendieck operator ideals.},
     journal = {Collectanea Mathematica},
     volume = {42},
     year = {1991},
     pages = {147-156},
     zbl = {0772.46042},
     mrnumber = {MR1203394},
     language = {en},
     url = {http://dml.mathdoc.fr/item/urn:eudml:doc:42466}
}

Fernández Castillo, Jesús M. Fréchet interpolation spaces and Grothendieck operator ideals.. Collectanea Mathematica, Tome 42 (1991) pp. 147-156. http://gdmltest.u-ga.fr/item/urn:eudml:doc:42466/