On the three-space property: non-containment of lp, 1 ≤ p < ∞, or c0 subspaces.
Díaz Alcaide, Juan Carlos
Publicacions Matemàtiques, Tome 37 (1993), p. 127-132 / Harvested from Biblioteca Digital de Matemáticas

The main result in this paper is the following: Let E be a Fréchet space having a normable subspace X isomorphic to lp, 1 ≤ p < ∞, or to c0. Let F be a closed subspace of E. Then either F or E/F has a subspace isomorphic to X.

Publié le : 1993-01-01
DMLE-ID : 4036
@article{urn:eudml:doc:41525,
     title = {On the three-space property: non-containment of lp, 1 $\leq$ p \&lt; $\infty$, or c0 subspaces.},
     journal = {Publicacions Matem\`atiques},
     volume = {37},
     year = {1993},
     pages = {127-132},
     mrnumber = {MR1240928},
     language = {en},
     url = {http://dml.mathdoc.fr/item/urn:eudml:doc:41525}
}
Díaz Alcaide, Juan Carlos. On the three-space property: non-containment of lp, 1 ≤ p < ∞, or c0 subspaces.. Publicacions Matemàtiques, Tome 37 (1993) pp. 127-132. http://gdmltest.u-ga.fr/item/urn:eudml:doc:41525/