{ "id": "1804.04200", "version": "v1", "published": "2018-04-11T20:12:18.000Z", "updated": "2018-04-11T20:12:18.000Z", "title": "On power bounded operators that are quasiaffine tranforms of singular unitaries", "authors": [ "Maria F. Gamal'" ], "comment": "Acta Sci. Math. (Szeged), 77(2011), 589-606. A misprint in the formulation of Theorem 2.5 is corrected", "categories": [ "math.FA" ], "abstract": "In [9] a question is raised: if a power bounded operator is quasisimilar to a singular unitary operator, is it similar to this unitary operator? For polynomially bounded operators, a positive answer to this question is known [1], [13]. In this paper a positive answer is given in some particular cases, but in general an answer remains unknown.", "revisions": [ { "version": "v1", "updated": "2018-04-11T20:12:18.000Z" } ], "analyses": { "subjects": [ "47A05", "47B99", "47B15" ], "keywords": [ "power bounded operator", "quasiaffine tranforms", "singular unitary operator", "positive answer", "answer remains unknown" ], "note": { "typesetting": "TeX", "pages": 0, "language": "en", "license": "arXiv", "status": "editable" } } }