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Multilinear maps and tensor norms on operator systems. (English) Zbl 0644.46037
Authors’ abstract: “We extend work of Christensen and Sinclair on completely bounded multilinear forms to the case of subspaces of C * algebras, and obtain a representation theorem and a Hahn-Banach extension theorem for such maps. In the second part of the paper the Haagerup norms on tensor products are investigated, and we obtain new characterizations of these quantities.”
Reviewer: C.H.Brans

MSC:
46L05 General theory of \(C^*\)-algebras
46M05 Tensor products in functional analysis
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