MATEMATIČKI VESNIK
МАТЕМАТИЧКИ ВЕСНИК



MATEMATIČKI VESNIK
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