{ "id": "1305.6739", "version": "v1", "published": "2013-05-29T09:37:45.000Z", "updated": "2013-05-29T09:37:45.000Z", "title": "Commutation relations for truncated Toeplitz operators", "authors": [ "Isabelle Chalendar", "Dan Timotin" ], "categories": [ "math.FA" ], "abstract": "For truncated Toeplitz operators, which are compressions of multiplication operators to model subspaces of the Hardy space $H^2$, we obtain criteria for commutation relations. The results show an analogy to the case of Toeplitz matrices, and they extend the theory of Sedlock algebras.", "revisions": [ { "version": "v1", "updated": "2013-05-29T09:37:45.000Z" } ], "analyses": { "subjects": [ "47B32", "47B35", "47B37" ], "keywords": [ "truncated toeplitz operators", "commutation relations", "multiplication operators", "model subspaces", "hardy space" ], "note": { "typesetting": "TeX", "pages": 0, "language": "en", "license": "arXiv", "status": "editable", "adsabs": "2013arXiv1305.6739C" } } }