THE DENSITY CONDITION IN QUOTIENTS OF QUASINORMABLE FRECHET SPACES

Authors
ALBANESE AA
Citation
Aa. Albanese, THE DENSITY CONDITION IN QUOTIENTS OF QUASINORMABLE FRECHET SPACES, Studia Mathematica, 125(2), 1997, pp. 131-141
Citations number
14
Categorie Soggetti
Mathematics, General",Mathematics
Journal title
Studia Mathematica → ACNP
ISSN journal
00393223
Volume
125
Issue
2
Year of publication
1997
Pages
131 - 141
Database
ISI
SICI code
0039-3223(1997)125:2<131:TDCIQO>2.0.ZU;2-M
Abstract
It is proved that a separable Frechet space is quasinormable if, and o nly if, every quotient space satisfies the density condition of Heinri ch. This answers positively a conjecture of Bonet and Diaz in the clas s of separable Frechet spaces.