Fréchet interpolation spaces and Grothendieck operator ideals.

@article{FernándezCastillo1991,
abstract = {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.},
author = {Fernández Castillo, Jesús M.},
journal = {Collectanea Mathematica},
keywords = {Espacios de Frechet; Espacios de Banach; Algebra de operadores; Espacio de Grothendieck; Ideal de operadores; Espacios de interpolación; continuous injection; reduced projective limit of the real interpolation spaces; operator ideal},
language = {eng},
number = {2},
pages = {147-156},
title = {Fréchet interpolation spaces and Grothendieck operator ideals.},
url = {http://eudml.org/doc/42466},
volume = {42},
year = {1991},
}

TY - JOUR
AU - Fernández Castillo, Jesús M.
TI - Fréchet interpolation spaces and Grothendieck operator ideals.
JO - Collectanea Mathematica
PY - 1991
VL - 42
IS - 2
SP - 147
EP - 156
AB - 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.
LA - eng
KW - Espacios de Frechet; Espacios de Banach; Algebra de operadores; Espacio de Grothendieck; Ideal de operadores; Espacios de interpolación; continuous injection; reduced projective limit of the real interpolation spaces; operator ideal
UR - http://eudml.org/doc/42466
ER -