{ "id": "math/0003095", "version": "v1", "published": "2000-03-16T12:44:35.000Z", "updated": "2000-03-16T12:44:35.000Z", "title": "The uniqueness of the solution to inverse problems of interpolation of positive operators in Banach lattices", "authors": [ "O. E. Tikhonov", "L. V. Veselova" ], "comment": "3 pages", "categories": [ "math.FA" ], "abstract": "We prove that an interpolation pair of Banach lattices is uniquely determined by the collection of intermediate spaces with the property that these are interpolation spaces for positive operators. A correspondent result for exact interpolation is also presented.", "revisions": [ { "version": "v1", "updated": "2000-03-16T12:44:35.000Z" } ], "analyses": { "subjects": [ "46B42", "46B70" ], "keywords": [ "banach lattices", "positive operators", "inverse problems", "uniqueness", "exact interpolation" ], "note": { "typesetting": "TeX", "pages": 3, "language": "en", "license": "arXiv", "status": "editable", "adsabs": "2000math......3095T" } } }