Greedy algorithm for general biorthogonal systems

被引：129
作者：
Wojtaszczyk, P [1 ]
机构：
[1] Univ Warsaw, Inst Matemat, PL-02097 Warsaw, Poland
来源：
JOURNAL OF APPROXIMATION THEORY | 2000年 / 107卷 / 02期
关键词：
quasi-greedy basis; conditional basis; biorthogonal system; Haar system;
D O I：
10.1006/jath.2000.3512
中图分类号：
O1 [数学];
学科分类号：
0701 ; 070101 ;
摘要：
We consider biorthogonal systems in quasi-Banach spaces such that the greedy algorithm converges for each x is an element of X (quasi-greed systems). We construct quasi-greedy conditional bases ina wide range of Banach spaces. We also compare the greed algorithm for the multidimensional Haar system wit the optimal m-term approximation for this system. This substantiates a conjecture by Temlyakov. (C) 2000 Academic Press.
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页码：293 / 314
页数：22
相关论文
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