{ "id": "2207.04243", "version": "v1", "published": "2022-07-09T10:49:50.000Z", "updated": "2022-07-09T10:49:50.000Z", "title": "On Geometric properties of Henstock-Orlicz spaces", "authors": [ "Hemanta Kalita", "Salvador Sánchez Perales", "Bipan Hazarika" ], "comment": "16 pages", "categories": [ "math.FA" ], "abstract": "In this paper we extend the theory of Henstock-Orlicz spaces with respect to vector measure. We study the integral representation of operators. Lastly we study Uniformly convexity, reflexivity and the Radon-Nikodym property of the Henstock-Orlicz spaces", "revisions": [ { "version": "v1", "updated": "2022-07-09T10:49:50.000Z" } ], "analyses": { "subjects": [ "46E30", "46B20", "46B22", "46A80" ], "keywords": [ "henstock-orlicz spaces", "geometric properties", "vector measure", "integral representation", "study uniformly convexity" ], "note": { "typesetting": "TeX", "pages": 16, "language": "en", "license": "arXiv", "status": "editable" } } }