2018/03/08 by Dilworth, Stephen J., Kutzarova, Denka, Temlyakov, Vladimir +1
#FOS: Mathematics #Functional Analysis (math.FA)
paper · doi:10.48550/arxiv.1803.02932
We introduce the notion of a 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 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.