{ "id": "math/0505524", "version": "v1", "published": "2005-05-25T01:57:40.000Z", "updated": "2005-05-25T01:57:40.000Z", "title": "Reverses of the Triangle Inequality in Banach Spaces", "authors": [ "Sever Silvestru Dragomir" ], "comment": "48 pages", "categories": [ "math.CA", "math.FA" ], "abstract": "Recent reverses for the discrete generalised triangle inequality and its continuous version for vector-valued integrals in Banach spaces are surveyed. New results are also obtained. Particular instances of interest in Hilbert spaces and for complex numbers and functions are pointed out as well.", "revisions": [ { "version": "v1", "updated": "2005-05-25T01:57:40.000Z" } ], "analyses": { "subjects": [ "26D15", "46B05", "46C05" ], "keywords": [ "banach spaces", "discrete generalised triangle inequality", "complex numbers", "hilbert spaces", "vector-valued integrals" ], "note": { "typesetting": "TeX", "pages": 48, "language": "en", "license": "arXiv", "status": "editable", "adsabs": "2005math......5524S" } } }