On a problem posed by M. M. Popov

• Autorzy: F. Albiac , J. L. Ansorena
• Języki publikacji: EN

Abstrakty

EN

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.

Kategorie tematyczne

• 46A16: Not locally convex spaces (metrizable topological linear spaces, locally bounded spaces, quasi-Banach spaces, etc.)
• 46G05: Derivatives
• 46G10: Vector-valued measures and integration

• Wydawca: Institute of Mathematics Polish Academy of Sciences
• Czasopismo: Studia Mathematica
• Rocznik: 2012
• Tom: 211
• Numer: 3
• Strony: 247-258

Daty

wydano

2012

Twórcy

autor

F. Albiac

• Mathematics Department, Universidad Pública de Navarra, Pamplona, 31006 Spain

autor

J. L. Ansorena

• Department of Mathematics, and Computer Science, Universidad de La Rioja, Logroño, 26004 Spain

Identyfikatory

DOI

10.4064/sm211-3-6