{ "id": "1507.01993", "version": "v1", "published": "2015-07-07T23:59:30.000Z", "updated": "2015-07-07T23:59:30.000Z", "title": "An alternate description of the Szlenk index with applications", "authors": [ "Ryan M. Causey" ], "categories": [ "math.FA" ], "abstract": "We discuss an alternate method for computing the Szlenk index of an arbitrary $w^*$ compact subset of the dual of a Banach space. We discuss consequences of this method as well as offer simple, alternative proofs of a number of results already found in the literature.", "revisions": [ { "version": "v1", "updated": "2015-07-07T23:59:30.000Z" } ], "analyses": { "keywords": [ "szlenk index", "alternate description", "applications", "compact subset", "offer simple" ], "note": { "typesetting": "TeX", "pages": 0, "language": "en", "license": "arXiv", "status": "editable", "adsabs": "2015arXiv150701993C" } } }