{ "id": "2505.02200", "version": "v1", "published": "2025-05-04T17:37:37.000Z", "updated": "2025-05-04T17:37:37.000Z", "title": "Automatic boundedness of some operators between ordered and topological vector spaces", "authors": [ "Eduard Emelyanov" ], "categories": [ "math.FA" ], "abstract": "We study topological boundedness of order-to-topology bounded and order-to-topology continuous operators from ordered vector spaces to topological vector spaces. The uniform boundedness principle for such operators is investigated.", "revisions": [ { "version": "v1", "updated": "2025-05-04T17:37:37.000Z" } ], "analyses": { "subjects": [ "46A40", "47B60", "47B65" ], "keywords": [ "topological vector spaces", "automatic boundedness", "uniform boundedness principle", "study topological boundedness", "order-to-topology continuous operators" ], "note": { "typesetting": "TeX", "pages": 0, "language": "en", "license": "arXiv", "status": "editable" } } }