Greedy algorithm for general biorthogonal systems

[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.

[发布日期] 2000-12-01

[关键词] quasi-greedy basis;conditional basis;biorthogonal system;Haar system