On a problem posed by M. M. Popov

F. Albiac; J. L. Ansorena

Studia Mathematica (2012)

  • Volume: 211, Issue: 3, page 247-258
  • ISSN: 0039-3223

Abstract

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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] → X failing to have a primitive. This answers a twenty year-old question raised by M. Popov in this journal.

How to cite

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F. Albiac, and J. L. Ansorena. "On a problem posed by M. M. Popov." Studia Mathematica 211.3 (2012): 247-258. <http://eudml.org/doc/286272>.

@article{F2012,
abstract = {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] → X failing to have a primitive. This answers a twenty year-old question raised by M. Popov in this journal.},
author = {F. Albiac, J. L. Ansorena},
journal = {Studia Mathematica},
language = {eng},
number = {3},
pages = {247-258},
title = {On a problem posed by M. M. Popov},
url = {http://eudml.org/doc/286272},
volume = {211},
year = {2012},
}

TY - JOUR
AU - F. Albiac
AU - J. L. Ansorena
TI - On a problem posed by M. M. Popov
JO - Studia Mathematica
PY - 2012
VL - 211
IS - 3
SP - 247
EP - 258
AB - 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] → X failing to have a primitive. This answers a twenty year-old question raised by M. Popov in this journal.
LA - eng
UR - http://eudml.org/doc/286272
ER -

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