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arXiv · 1803.02932

Weight-almost greedy bases

Stephen J. Dilworth·Denka Kutzarova·Vladimir Temlyakov·Ben Wallis
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Abstract

We introduce the notion of a \textit{weight-almost greedy} basis and show that a basis for a real Banach space is $w$-almost greedy if and only if it is both quasi-greedy and $w$-democratic. We also introduce the notion of \textit{weight-semi-greedy} basis and show that a $w$-almost greedy basis is $w$-semi-greedy and that the converse holds if the Banach space has finite cotype.

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BibTeXRIS

Stephen J. Dilworth, Denka Kutzarova, Vladimir Temlyakov, Ben Wallis. 2018-03-08. Weight-almost greedy bases. https://arxiv.org/abs/1803.02932

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