On lineability of sets of continuous functions

被引：97
|
作者：
Gurariy, VI
Quarta, L
机构：
[1] Univ Mons, Inst Math, B-7000 Mons, Belgium
[2] Kent State Univ, Dept Math, Kent, OH 44242 USA
来源：
JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS | 2004年 / 294卷 / 01期
关键词：
lineability; spaceability; linear spaces of continuous functions;
D O I：
10.1016/j.jmaa.2004.01.036
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
We study the existence of vector spaces of dimension at least two of continuous functions on (subsets of) R, every non-zero element of which admits one and only one absolute maximum. (C) 2004 Elsevier Inc. All rights reserved.
引用
收藏
页码：62 / 72
页数：11
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