On a problem posed by M. M. Popov
Tom 211 / 2012
Studia Mathematica 211 (2012), 247-258
MSC: 46A16, 46G05, 46G10.
DOI: 10.4064/sm211-3-6
Streszczenie
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.