Characterization of greedy bases in Banach spaces

JOURNAL OF APPROXIMATION THEORY

卷:215

Article

Berna, Pablo M.¹  Blasco, Oscar² 

[1] Univ Politecn Valencia, Inst Matemat Pura & Aplicada, E-46022 Valencia, Spain

[2] Univ Valencia, Dept Anal Matemat, Campus Burjassot, E-46100 Valencia, Spain

关键词: Thresholding greedy algorithm;    Unconditional basis;    Property (A);   

DOI  :  10.1016/j.jat.2016.11.008

来源: Elsevier

【 摘 要 】

We shall present a new characterization of greedy bases and 1-greedy bases in terms of certain functionals defined using distances to one dimensional subspaces generated by the basis. We also introduce a new property that unifies the notions of unconditionality and democracy and allows us to recover a better dependence on the constants. (C) 2016 Elsevier Inc. All rights reserved.

【 授权许可】

Free