{ "id": "1405.5735", "version": "v1", "published": "2014-05-22T12:58:59.000Z", "updated": "2014-05-22T12:58:59.000Z", "title": "A note on complex interpolation and Calderón product of quasi-Banach spaces", "authors": [ "Wen Yuan" ], "comment": "8 pages", "categories": [ "math.CA" ], "abstract": "In this paper, we prove that the inner complex interpolation of two quasi-Banach lattices coincides with the closure of their intersection in their Calder\\'on product. This generalizes a classical result by Shestakov in 1974 for Banach lattices.", "revisions": [ { "version": "v1", "updated": "2014-05-22T12:58:59.000Z" } ], "analyses": { "subjects": [ "46B70" ], "keywords": [ "calderón product", "quasi-banach spaces", "inner complex interpolation", "quasi-banach lattices coincides", "calderon product" ], "note": { "typesetting": "TeX", "pages": 8, "language": "en", "license": "arXiv", "status": "editable", "adsabs": "2014arXiv1405.5735Y" } } }