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arXiv · 1803.05052

The weighted Property (A) and the greedy algorithm

P. M. Berná·S. J. Dilworth·D. Kutzarova·T. Oikhberg·B. Wallis
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Abstract

We investigate various aspects of the "weighted" greedy algorithm with respect to a Schauder basis. For a weight w, we describe w-greedy, w-almost-greedy and w-partially-greedy bases, and show some properties of w-semi-greedy bases. To achieve these goals, we introduce and study the w-Property (A).

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P. M. Berná, S. J. Dilworth, D. Kutzarova, T. Oikhberg, B. Wallis. 2018-03-13. The weighted Property (A) and the greedy algorithm. https://arxiv.org/abs/1803.05052

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