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.
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页码：247 / 258
页数：12
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