The density condition in quotients of quasinormable Fréchet spaces
Studia Mathematica, Tome 125 (1997) no. 2, pp. 131-141
Voir la notice de l'article provenant de la source Institute of Mathematics Polish Academy of Sciences
It is proved that a separable 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 Dí az in the class of separable Fréchet spaces.
@article{10_4064_sm_125_2_131_141,
author = {Angela A. Albanese},
title = {The density condition in quotients of quasinormable {Fr\'echet} spaces},
journal = {Studia Mathematica},
pages = {131--141},
publisher = {mathdoc},
volume = {125},
number = {2},
year = {1997},
doi = {10.4064/sm-125-2-131-141},
language = {fr},
url = {http://geodesic.mathdoc.fr/articles/10.4064/sm-125-2-131-141/}
}
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%0 Journal Article %A Angela A. Albanese %T The density condition in quotients of quasinormable Fréchet spaces %J Studia Mathematica %D 1997 %P 131-141 %V 125 %N 2 %I mathdoc %U http://geodesic.mathdoc.fr/articles/10.4064/sm-125-2-131-141/ %R 10.4064/sm-125-2-131-141 %G fr %F 10_4064_sm_125_2_131_141
Angela A. Albanese. The density condition in quotients of quasinormable Fréchet spaces. Studia Mathematica, Tome 125 (1997) no. 2, pp. 131-141. doi: 10.4064/sm-125-2-131-141
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