On a problem posed by M. M. Popov

被引：4

作者：

Albiac, F. ^{[1
]}

Ansorena, J. L. ^{[2
]}

机构：

[1] Univ Publ Navarra, Dept Math, Pamplona 31006, Spain

[2] Univ La Rioja, Dept Math & Comp Sci, Logrono 26004, Spain

来源：

STUDIA MATHEMATICA | 2012年 / 211卷 / 03期

关键词：

quasi-Banach space; Riemann integral; Vogt integral; galb of an F-space; CONVEX ORLICZ SPACES; LIPSCHITZ-MAPS;

D O I：

10.4064/sm211-3-6

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

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. M. Popov in this journal.

引用

页码：247 / 258

页数：12