On the three-space property: non-containment of lp, 1 ≤ p < ∞, or c0 subspaces.

Díaz Alcaide, Juan Carlos. "On the three-space property: non-containment of lp, 1 ≤ p &lt; ∞, or c0 subspaces.." Publicacions Matemàtiques 37.1 (1993): 127-132. <http://eudml.org/doc/41525>.

@article{DíazAlcaide1993,
abstract = {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 &lt; ∞, or to c0. Let F be a closed subspace of E. Then either F or E/F has a subspace isomorphic to X.},
author = {Díaz Alcaide, Juan Carlos},
journal = {Publicacions Matemàtiques},
keywords = {Espacios lineales topológicos; Espacios de Fréchet; Subespacios; Espacio de sucesiones; normable subspace isomorphic to ; Fréchet space},
language = {eng},
number = {1},
pages = {127-132},
title = {On the three-space property: non-containment of lp, 1 ≤ p &lt; ∞, or c0 subspaces.},
url = {http://eudml.org/doc/41525},
volume = {37},
year = {1993},
}

TY - JOUR
AU - Díaz Alcaide, Juan Carlos
TI - On the three-space property: non-containment of lp, 1 ≤ p &lt; ∞, or c0 subspaces.
JO - Publicacions Matemàtiques
PY - 1993
VL - 37
IS - 1
SP - 127
EP - 132
AB - 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 &lt; ∞, or to c0. Let F be a closed subspace of E. Then either F or E/F has a subspace isomorphic to X.
LA - eng
KW - Espacios lineales topológicos; Espacios de Fréchet; Subespacios; Espacio de sucesiones; normable subspace isomorphic to ; Fréchet space
UR - http://eudml.org/doc/41525
ER -