Weight-almost greedy bases
Functional Analysis
2018-03-09 v1
Abstract
We introduce the notion of a \textit{weight-almost greedy} basis and show that a basis for a real Banach space is -almost greedy if and only if it is both quasi-greedy and -democratic. We also introduce the notion of \textit{weight-semi-greedy} basis and show that a -almost greedy basis is -semi-greedy and that the converse holds if the Banach space has finite cotype.
Keywords
Cite
@article{arxiv.1803.02932,
title = {Weight-almost greedy bases},
author = {Stephen J. Dilworth and Denka Kutzarova and Vladimir Temlyakov and Ben Wallis},
journal= {arXiv preprint arXiv:1803.02932},
year = {2018}
}