Factorization of completely bounded bilinear operators and injectivity

1998/04/06 by Allan M. Sinclair, Sinclair, Allan M., Roger R. Smith +1
Mathematics · #46L05 #Advanced Banach Space Theory #Advanced Operator Algebra Research #FOS: Mathematics #Holomorphic and Operator Theory #Operator Algebras (math.OA) #math.OA #msc:46L05

paper · pdf · doi:10.48550/arxiv.math/9804026

32 pages. See also http://www.math.tamu.edu/~roger.smith/ preprints.html

arxiv created 1998/04/06 · openalex publication_date 1998/04/06 · arxiv updated 2009/11/30 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

Abstract

We characterize injectivity of von Neumann algebras in terms of factoring bilinear maps as products of linear maps.

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