{ "id": "2004.01128", "version": "v1", "published": "2020-04-02T16:56:37.000Z", "updated": "2020-04-02T16:56:37.000Z", "title": "A note on partially-greedy bases in quasi-Banach spaces", "authors": [ "Pablo M. BernĂ¡" ], "categories": [ "math.FA" ], "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 $C$-partially-greedy basis in a quasi-Banach space, there exists a \"renorming\" such that the basis is $1$-partially-greedy.", "revisions": [ { "version": "v1", "updated": "2020-04-02T16:56:37.000Z" } ], "analyses": { "keywords": [ "quasi-banach space", "partially-greedy basis", "study partially-greedy bases focusing", "greedy-type bases", "main results" ], "note": { "typesetting": "TeX", "pages": 0, "language": "en", "license": "arXiv", "status": "editable" } } }