Geodesic
A Question of Valdivia on Quasinormable Fréchet Spaces
Canadian mathematical bulletin, Tome 34 (1991) no. 3, pp. 301-304

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DOI

It is proved that a Fréchet space is quasinormable if and only if every null sequence in the strong dual converges equicontinuously to the origin. This answers positively a question raised by Valdivia. As a consequence a positive answer to a problem of Jarchow on Fréchet Schwartz spaces is obtained.
DOI : 10.4153/CMB-1991-049-7
Mots-clés : 46A06, 46A12 
Bonet, José. A Question of Valdivia on Quasinormable Fréchet Spaces. Canadian mathematical bulletin, Tome 34 (1991) no. 3, pp. 301-304. doi: 10.4153/CMB-1991-049-7
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     title = {A {Question} of {Valdivia} on {Quasinormable} {Fr\'echet} {Spaces}},
     journal = {Canadian mathematical bulletin},
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     year = {1991},
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     doi = {10.4153/CMB-1991-049-7},
     url = {http://geodesic.mathdoc.fr/articles/10.4153/CMB-1991-049-7/}
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