Factorization of completely bounded bilinear operators and injectivity Academic Article

abstract

• A completely bounded bilinear operator:MMM on a von Neumann algebra M is said to have a factorization in M if there exist completely bounded linear operatorsj, j:MM such that(x, y)=sum;jj(x)j(y),x, yM,where convergence of the sum is made precise below. The main result of the paper is that all completely bounded bilinear operators:MMM have factorizations in M if and only if M is injective. 1998 Academic Press.

authors

• Smith, Roger

published proceedings

• JOURNAL OF FUNCTIONAL ANALYSIS

author list (cited authors)

• Sinclair, A. M., & Smith, R. R.

citation count

• 2

complete list of authors

• Sinclair, AM||Smith, RR

publication date

• January 1998

publisher

• Elsevier  Publisher

published in

• Journal of Functional Analysis  Journal

Digital Object Identifier (DOI)

• 10.1006/jfan.1998.3260

start page

• 62

end page

• 87

volume

• 157

issue

• 1

URL

• http%3A%2F%2Fdx.doi.org%2F10.1006%2Fjfan.1998.3260