English

The weighted Property (A) and the greedy algorithm

Functional Analysis 2018-06-19 v2

Abstract

We investigate various aspects of the "weighted" greedy algorithm with respect to a Schauder basis. For a weight w, we describe w-greedy, w-almost-greedy and w-partially-greedy bases, and show some properties of w-semi-greedy bases. To achieve these goals, we introduce and study the w-Property (A).

Keywords

Cite

@article{arxiv.1803.05052,
  title  = {The weighted Property (A) and the greedy algorithm},
  author = {P. M. Berná and S. J. Dilworth and D. Kutzarova and T. Oikhberg and B. Wallis},
  journal= {arXiv preprint arXiv:1803.05052},
  year   = {2018}
}

Comments

23 pages

R2 v1 2026-06-23T00:52:17.215Z