{ "id": "math/0211358", "version": "v1", "published": "2002-11-22T16:01:44.000Z", "updated": "2002-11-22T16:01:44.000Z", "title": "Compressions and Pinchings", "authors": [ "Jean-Christophe Bourin" ], "comment": "11 pages", "categories": [ "math.FA" ], "abstract": "There exist operators $A$ such that : for any sequence of contractions $\\{A_n\\}$, there is a total sequence of mutually orthogonal projections $\\{E_n\\}$ such that $\\Sigma E_nAE_n=\\bigoplus A_n$.", "revisions": [ { "version": "v1", "updated": "2002-11-22T16:01:44.000Z" } ], "analyses": { "subjects": [ "47A12", "47A20" ], "keywords": [ "compressions", "mutually orthogonal projections", "total sequence" ], "note": { "typesetting": "TeX", "pages": 11, "language": "en", "license": "arXiv", "status": "editable", "adsabs": "2002math.....11358B" } } }