Geodesic
The Notion of a~Trace on Order-Unit Spaces and the~Space of Integrable Elements
Matematičeskie trudy, Tome 8 (2005) no. 2, pp. 39-48

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Some definitions are given of the notion of a trace on an order-unit space, interrelations of the definitions are studied, and the space of integrable elements is constructed. Using one of the definitions of a trace, we prove that the predual of an order-unit space is isometrically isomorphic to the space of trace-integrable elements. 
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M. A. Berdikulov. The Notion of a~Trace on Order-Unit Spaces and the~Space of Integrable Elements. Matematičeskie trudy, Tome 8 (2005) no. 2, pp. 39-48. http://geodesic.mathdoc.fr/item/MT_2005_8_2_a1/