On lineability of sets of continuous functions

被引：100

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

页码：62 / 72

页数：11

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