{ "id": "2005.01023", "version": "v1", "published": "2020-05-03T09:04:34.000Z", "updated": "2020-05-03T09:04:34.000Z", "title": "A project about chains of spaces, regarding topological and algebraic genericity and spaceability", "authors": [ "Vassili Nestoridis" ], "comment": "Except the l^p spaces we give results on Hardy spaces on the unit disc", "categories": [ "math.FA", "math.CV" ], "abstract": "We present the example of l^p spaces, where we examine results of topological and algebraic genericity and spaceability. At the end of the paper we include a project with other chains of spaces, mainly of holomorphic functions, where a similar investigation can be done.", "revisions": [ { "version": "v1", "updated": "2020-05-03T09:04:34.000Z" } ], "analyses": { "subjects": [ "15A03", "46E10", "46E15", "30H10", "30H20", "30H35", "15A03", "46E10", "46E15", "30H10", "30H20", "30H35" ], "keywords": [ "algebraic genericity", "regarding topological", "spaceability", "holomorphic functions" ], "note": { "typesetting": "TeX", "pages": 0, "language": "en", "license": "arXiv", "status": "editable" } } }