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

Autor:	Bunce, Leslie J., Feely, Brian, Timoney, Richard M.
Rok vydání:	2010
Předmět:	Mathematics - Operator Algebras Mathematics - Functional Analysis 47L25 17C65 46L70
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
Externí odkaz:	http://arxiv.org/abs/1007.1085 Zobrazit plný text záznamu View this record from Arxiv