Title of article :
Greedy Algorithm for General Biorthogonal Systems Original Research Article
Author/Authors :
P. Wojtaszczyk، نويسنده ,
Issue Information :
روزنامه با شماره پیاپی سال 2000
Abstract :
We consider biorthogonal systems in quasi-Banach spaces such that the greedy algorithm converges for each x∈X (quasi-greedy systems). We construct quasi-greedy conditional bases in a wide range of Banach spaces. We also compare the greedy algorithm for the multidimensional Haar system with the optimal m-term approximation for this system. This substantiates a conjecture by Temlyakov.
Keywords :
* biorthogonal system , * quasi-greedy basis , * conditional basis , * Haar system
Journal title :
Journal of Approximation Theory
Journal title :
Journal of Approximation Theory