A note on partially-greedy bases in quasi-Banach spaces

被引：8
|
作者：
Berna, Pablo M. [1 ]
机构：
[1] Univ San Pablo CEU, CEU Univ, Fac Ciencias Econ & Empresariales, Dept Matemat Aplicada & Estadist, Madrid 28003, Spain
来源：
STUDIA MATHEMATICA | 2021年 / 259卷 / 02期
关键词：
quasi-Banach spaces; greedy bases; quasi-greedy bases; greedy algorithm; ALGORITHM;
D O I：
10.4064/sm200402-20-8
中图分类号：
O1 [数学];
学科分类号：
0701 ; 070101 ;
摘要：
We continue the study of greedy-type bases in quasi-Banach spaces started by Albiac et al. [arXiv:1903.11651]. In the present paper, we study partially-greedy bases, focusing on two main results: Characterization of partially-greedy bases in quasi-Banach spaces in terms of quasi-greediness and various conservative-like properties. Given a C-partially-greedy basis in a quasi-Banach space, there exists a "renorming" such that the basis is 1-partially-greedy.
引用
收藏
页码：225 / 239
页数：15
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