Geodesic
On a problem posed by M. M. Popov
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
Studia Mathematica, Tome 211 (2012) no. 3, pp. 247-258 Cet article a éte moissonné depuis la source Institute of Mathematics Polish Academy of Sciences

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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.
DOI : 10.4064/sm211-3-6
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

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

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