## The thresholding greedy algorithm, greedy bases and duality

**A 2001 Preprint by
S. Dilworth,
N. Kalton,
D. Kutzarova, and
V. Temlyakov
**

- 2001:23
Some new conditions that arise naturally in the study of the Thresholding Greedy Algorithm are introduced for bases of Banach spaces. We relate these conditions to best n-term approximation and we study their duality theory. In particular, we obtain a complete duality theory for greedy bases.