MULTILINEAR MAPS AND TENSOR NORMS ON OPERATOR SYSTEMS Academic Article

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. 1987.

authors

• Smith, Roger

published proceedings

• JOURNAL OF FUNCTIONAL ANALYSIS

author list (cited authors)

• PAULSEN, V. I., & SMITH, R. R.

citation count

• 52

complete list of authors

• PAULSEN, VI||SMITH, RR

publication date

• January 1987

publisher

• Elsevier  Publisher

published in

• Journal of Functional Analysis  Journal

Digital Object Identifier (DOI)

• 10.1016/0022-1236(87)90068-1

start page

• 258

end page

• 276

volume

• 73

issue

• 2

URL

• http%3A%2F%2Fdx.doi.org%2F10.1016%2F0022-1236%2887%2990068-1