Weight-Almost Greedy Bases

S. J. Dilworth, Denka Nikolova Kutzarova-Ford, Vladimir Temlyakov, Ben Wallis

Research output: Contribution to journalArticle

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 languageEnglish (US)
Pages (from-to)109-128
Number of pages20
JournalProceedings of the Steklov Institute of Mathematics
Volume303
Issue number1
DOIs
StatePublished - Nov 1 2018

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ASJC Scopus subject areas

  • Mathematics (miscellaneous)

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