Greedy approximation with regard to non-greedy bases

@article{Temlyakov2011GreedyAW,
title={Greedy approximation with regard to non-greedy bases},
author={Vladimir N. Temlyakov and Mingrui Yang and Peixin Ye},
journal={Adv. Comput. Math.},
year={2011},
volume={34},
pages={319-337}
}

Peixin Ye Nankai University, China yepx@nankai.edu.cn In this talk we discuss which properties of a basis are important for certain direct and inverse theorems in nonlinear approximation. We study greedy approximation with regard to bases with different properties. We consider bases that are tensor products of univariate greedy bases. Some results known for unconditional bases, such as Lebesgue-type inequality, are extended to the case of quasi-greedy bases.