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arXiv · 1007.1085

Operator space structure of JC*-triples and TROs, I

Leslie J. Bunce·Brian Feely·Richard M. Timoney
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Abstract

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.

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Leslie J. Bunce, Brian Feely, Richard M. Timoney. 2010-07-07. Operator space structure of JC*-triples and TROs, I. https://arxiv.org/abs/1007.1085

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