English

A note on partially-greedy bases in quasi-Banach spaces

Functional Analysis 2020-04-03 v1

Abstract

We continue with the study of greedy-type bases in quasi-Banach spaces started in [3]. In this paper, we study partially-greedy bases focusing our attention in two main results: -Characterization of partially-greedy bases in quasi-Banach spaces in terms of quasi-greediness and different conservative-like properties. -Given a CC-partially-greedy basis in a quasi-Banach space, there exists a "renorming" such that the basis is 11-partially-greedy.

Keywords

Cite

@article{arxiv.2004.01128,
  title  = {A note on partially-greedy bases in quasi-Banach spaces},
  author = {Pablo M. Berná},
  journal= {arXiv preprint arXiv:2004.01128},
  year   = {2020}
}