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)|
|Number of pages||20|
|Journal||Proceedings of the Steklov Institute of Mathematics|
|State||Published - Nov 1 2018|
ASJC Scopus subject areas
- Mathematics (miscellaneous)