@article{a8c33cb918ff4e1cbf75b4e85c574b47,
title = "Weight-Almost Greedy Bases",
abstract = "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 a 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.",
author = "Dilworth, {S. J.} and Denka Kutzarova and Vladimir Temlyakov and Ben Wallis",
note = "Funding Information: The first author was supported by the National Science Foundation under grant no. DMS-1361461. The third author was supported by a grant of the Government of the Russian Federation, project no. 14.W03.31.0031. The first and second authors were supported by the Workshop in Analysis and Probability at Texas A&M University in 2017. Thanks to Pablo M. Bern{\'a} for improving Theorem 5.6. Publisher Copyright: {\textcopyright} 2018, Pleiades Publishing, Ltd.",
year = "2018",
month = nov,
day = "1",
doi = "10.1134/S0081543818080102",
language = "English (US)",
volume = "303",
pages = "109--128",
journal = "Proceedings of the Steklov Institute of Mathematics",
issn = "0081-5438",
publisher = "Maik Nauka-Interperiodica Publishing",
number = "1",
}