ON THE LATTICE GENERATED BY HAMEL FUNCTIONS

被引：0
|
作者：
Matusik, Grzegorz [1 ]
机构：
[1] Univ Gdansk, Dept Math, Wita Stwosza 57, PL-80952 Gdansk, Poland
来源：
REAL ANALYSIS EXCHANGE | 2010年 / 36卷 / 01期
关键词：
additive function; Hamel function; Hamel basis; linearly independent function; lattice;
D O I：
暂无
中图分类号：
O1 [数学];
学科分类号：
0701 ; 070101 ;
摘要：
We say that f : R -> R is LIF if it is linearly independent over Q as a subset of R-2 and that it is a Hamel function (HF) if it is a Hamel basis of R-2. In this paper we present a discussion on the lattices generated by the classes HF and LIF. We also investigate extensions of partial LIF functions to HF and LIF functions defined on whole R.
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页码：65 / 78
页数：14
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