{ "id": "1805.06778", "version": "v1", "published": "2018-05-17T13:57:01.000Z", "updated": "2018-05-17T13:57:01.000Z", "title": "Characterizations of almost greedy and partially greedy bases", "authors": [ "S. J. Dilworth", "Divya Khurana" ], "comment": "18 pages", "categories": [ "math.FA" ], "abstract": "We shall present new characterizations of partially greedy and almost greedy bases. A new class of basis (which we call reverse partially greedy basis) arises naturally from these characterizations of partially greedy bases. We also give characterizations for $1$-partially greedy and $1$-reverse partially greedy bases.", "revisions": [ { "version": "v1", "updated": "2018-05-17T13:57:01.000Z" } ], "analyses": { "subjects": [ "46B15", "41A65" ], "keywords": [ "characterizations", "reverse partially greedy basis" ], "note": { "typesetting": "TeX", "pages": 18, "language": "en", "license": "arXiv", "status": "editable" } } }