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

页码：225 / 239

页数：15