{ "id": "1903.11378", "version": "v1", "published": "2019-03-25T19:02:06.000Z", "updated": "2019-03-25T19:02:06.000Z", "title": "On the intersection of principal ideals in function spaces", "authors": [ "Bulat Khabibullin", "Enzhe Khabibullina" ], "comment": "5 pages, in Russian", "categories": [ "math.FA" ], "abstract": "We give a method for constructing principal ideals in spaces of real functions whose intersection is not a finitely generated ideal. This problem is also discussed for spaces of holomorphic functions.", "revisions": [ { "version": "v1", "updated": "2019-03-25T19:02:06.000Z" } ], "analyses": { "subjects": [ "13A15", "30H50" ], "keywords": [ "function spaces", "intersection", "real functions", "holomorphic functions" ], "note": { "typesetting": "TeX", "pages": 5, "language": "ru", "license": "arXiv", "status": "editable" } } }