It is proved that a separable Fréchet space $E$ is quasinormable if, and only if, every quotient space satisfies the density condition of Heinrich. This answers positively a conjecture of Bonet and Dìaz in the class of separable Fréchet spaces.
The density condition in quotients of quasinormable Fréchet spaces
ALBANESE, Angela Anna
1997-01-01
Abstract
It is proved that a separable Fréchet space $E$ is quasinormable if, and only if, every quotient space satisfies the density condition of Heinrich. This answers positively a conjecture of Bonet and Dìaz in the class of separable Fréchet spaces.File in questo prodotto:
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