## Characterization of 1-greedy bases.(English)Zbl 1087.65048

The authors investigate 1-greedy bases for a real Banach space, i.e., bases for which the greedy algorithm provides the best $$m$$-term approximation. A characterization of 1-greediness is studied. The authors also give a list of open problems that arise from this article.

### MSC:

 65J05 General theory of numerical analysis in abstract spaces 41A65 Abstract approximation theory (approximation in normed linear spaces and other abstract spaces)
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### References:

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