Weight-Almost Greedy Bases

被引：0

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.

引用

页码：109 / 128

页数：19

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