Operator space structure of JC*-triples and TROs, I
Autor: | Bunce, Leslie J., Feely, Brian, Timoney, Richard M. |
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Rok vydání: | 2010 |
Předmět: | |
Druh dokumentu: | Working Paper |
Popis: | We embark upon a systematic investigation of operator space structure of JC*-triples via a study of the TROs (ternary rings of operators) they generate. Our approach is to introduce and develop a variety of universal objects, including universal TROs, by which means we are able to describe all possible operator space structures of a JC*-triple. Via the concept of reversibility we obtain characterisations of universal TROs over a wide range of examples. We apply our results to obtain explicit descriptions of operator space structures of Cartan factors regardless of dimension. Comment: 27 pages |
Databáze: | arXiv |
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