It is proved that a Fréchet space is quasinormable if, and only if, every quotient space satisfies the density condition of Heinrich. This answers positively a conjecture of Bonet and Díaz
@article{urn:eudml:doc:44426,
title = {The density condition in quotients of quasinormable Fr\'echet spaces, II.},
journal = {Revista Matem\'atica de la Universidad Complutense de Madrid},
volume = {12},
year = {1999},
pages = {73-84},
zbl = {0949.46001},
mrnumber = {MR1698899},
language = {en},
url = {http://dml.mathdoc.fr/item/urn:eudml:doc:44426}
}
Albanese, Angela A. The density condition in quotients of quasinormable Fréchet spaces, II.. Revista Matemática de la Universidad Complutense de Madrid, Tome 12 (1999) pp. 73-84. http://gdmltest.u-ga.fr/item/urn:eudml:doc:44426/