A Saito-Tomita-Lusin theorem for JB*-triples and applications
Bunce, L. J., Fernandez-Polo, F. J., Moreno, J. M. and Peralta, A. M. (2006) A Saito-Tomita-Lusin theorem for JB*-triples and applications. Quarterly Journal of Mathematics, 57. pp. 37-48. ISSN 0033-5606
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A theorem of Lusin is proved in the non-ordered context of JB*-triples. This is applied to obtain versions of a general transitivity theorem and to deduce refinements of facial structure in closed unit ballls of JB*-triples and duals.