| On the three-space-problem for dF spaces and their duals |
| Zoran Kadelburg and Stojan Radenović |
Abstract It is shown that dF spaces of K. Brauner behave more regularly than DF spaces in connection with the three-space-problem. In particular, this problem has a positive answer in the class of Fréchet spaces for the property of being the strong dual of a barrelled dF space. Thus, a partial positive answer to a question of D. Vogt is obtained.
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Keywords: Three-space-problem, DF space, dF space, dual Fréchet space. |
MSC: 46A03, 46A04 |
Pages: 111$-$115 |
Volume 54 , Issue 3$-$4 , 2002 |
