1Mathematics Department Universidad Pública de Navarra Pamplona, 31006 Spain 2Department of Mathematics and Computer Science Universidad de La Rioja Logroño, 26004 Spain
Studia Mathematica, Tome 211 (2012) no. 3, pp. 247-258
We show that if $X$ is a non-locally convex quasi-Banach space with a rich dual, there exists a continuous function $f:[0,1]\to X$ failing to have a primitive. This answers a twenty year-old question raised by M. Popov in this journal.
Keywords:
non locally convex quasi banach space rich dual there exists continuous function failing have primitive answers twenty year old question raised nbsp popov journal
Affiliations des auteurs :
F. Albiac 
1
;
J. L. Ansorena 
2
1
Mathematics Department Universidad Pública de Navarra Pamplona, 31006 Spain
2
Department of Mathematics and Computer Science Universidad de La Rioja Logroño, 26004 Spain
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F. Albiac; J. L. Ansorena. On a problem posed by M. M. Popov. Studia Mathematica, Tome 211 (2012) no. 3, pp. 247-258. doi: 10.4064/sm211-3-6