Email this article Weight-Almost Greedy Bases
- Authors: Dilworth S.J.1, Kutzarova D.1,2, Temlyakov V.1,3,4, Wallis B.5
-
Affiliations:
- Department of Mathematics
- Institute of Mathematics and Informatics
- Steklov Mathematical Institute of Russian Academy of Sciences
- Faculty of Mechanics and Mathematics
- Department of Mathematical Sciences
- Issue: Vol 303, No 1 (2018)
- Pages: 109-128
- Section: Article
- URL: https://journals.rcsi.science/0081-5438/article/view/175666
- DOI: https://doi.org/10.1134/S0081543818080102
- ID: 175666
Cite item
Open Access
Access granted
Subscription Access
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.
About the authors
S. J. Dilworth
Department of Mathematics
Author for correspondence.
Email: dilworth@math.sc.edu
United States, 1523 Greene St., Columbia, SC, 29208
Denka Kutzarova
Department of Mathematics; Institute of Mathematics and Informatics
Author for correspondence.
Email: denka@math.uiuc.edu
United States, 1409 West Green St., Urbana, IL, 61801; 8 Acad. Georgi Bonchev St., Sofia, 1113
Vladimir Temlyakov
Department of Mathematics; Steklov Mathematical Institute of Russian Academy of Sciences; Faculty of Mechanics and Mathematics
Author for correspondence.
Email: temlyak@math.sc.edu
United States, 1523 Greene St., Columbia, SC, 29208; ul. Gubkina 8, Moscow, 119991; Moscow, 119991
Ben Wallis
Department of Mathematical Sciences
Author for correspondence.
Email: benwallis@live.com
United States, DeKalb, IL, 60115-2888
Supplementary files
