Weight-Almost Greedy Bases

被引：0
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作者：
S. J. Dilworth
Denka Kutzarova
Vladimir Temlyakov
Ben Wallis
机构：
[1] University of South Carolina,Department of Mathematics
[2] University of Illinois at Urbana-Champaign,Department of Mathematics
[3] Bulgarian Academy of Sciences,Institute of Mathematics and Informatics
[4] Steklov Mathematical Institute of Russian Academy of Sciences,Faculty of Mechanics and Mathematics
[5] Moscow State University,Department of Mathematical Sciences
[6] Northern Illinois University,undefined
来源：
Proceedings of the Steklov Institute of Mathematics | 2018年 / 303卷
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摘要：
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.
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页码：109 / 128
页数：19
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