Weight-Almost Greedy Bases

S. J. Dilworth; Denka Kutzarova; Vladimir Temlyakov; Ben Wallis

doi:10.1134/S0081543818080102

Weight-Almost Greedy Bases

S. J. Dilworth, Denka Kutzarova, Vladimir Temlyakov, Ben Wallis

Mathematics

Research output: Contribution to journal › Article › peer-review

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.

Original language	English (US)
Pages (from-to)	109-128
Number of pages	20
Journal	Proceedings of the Steklov Institute of Mathematics
Volume	303
Issue number	1
DOIs	https://doi.org/10.1134/S0081543818080102
State	Published - Nov 1 2018

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Mathematics (miscellaneous)

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10.1134/S0081543818080102

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Weight-Almost Greedy Bases

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