{ "id": "0904.3120", "version": "v2", "published": "2009-04-20T21:33:56.000Z", "updated": "2009-07-26T22:41:06.000Z", "title": "Commutators on $\\ell_{\\infty}$", "authors": [ "Detelin Dosev", "William B. Johnson" ], "comment": "15 pages. Submitted to the Bulletin of the London Mathematical Society The proof of Theorem 3.3 was corrected. Other minor changes were made", "categories": [ "math.FA" ], "abstract": "The operators on $\\ell_{\\infty}$ which are commutators are those not of the form $\\lambda I + S$ with $\\lambda\\neq 0$ and $S$ strictly singular.", "revisions": [ { "version": "v2", "updated": "2009-07-26T22:41:06.000Z" } ], "analyses": { "subjects": [ "47B47" ], "keywords": [ "commutators" ], "note": { "typesetting": "TeX", "pages": 15, "language": "en", "license": "arXiv", "status": "editable", "adsabs": "2009arXiv0904.3120D" } } }