| Article ID | Journal | Published Year | Pages | File Type |
|---|---|---|---|---|
| 4618988 | Journal of Mathematical Analysis and Applications | 2010 | 9 Pages |
Abstract
We give a complete characterization of 2π-periodic matrix weights W for which the vector-valued trigonometric system forms a Schauder basis for the matrix weighted space Lp(T;W). Then trigonometric quasi-greedy bases for Lp(T;W) are considered. Quasi-greedy bases are systems for which the simple thresholding approximation algorithm converges in norm. It is proved that such a trigonometric basis can be quasi-greedy only for p=2, and whenever the system forms a quasi-greedy basis, the basis must actually be a Riesz basis.
Related Topics
Physical Sciences and Engineering
Mathematics
Analysis
