On von Neumann algebras which are complemented subspaces of B(H)

1992/12/14 by Erik Christensen, Christensen, Erik, Allan M. Sinclair +1
Mathematics · #Advanced Banach Space Theory #Advanced Operator Algebra Research #Advanced Topics in Algebra #FOS: Mathematics #Functional Analysis (math.FA) #Operator Algebras (math.OA)

paper · pdf · doi:10.48550/arxiv.funct-an/9212002

openalex publication_date 1992/12/14 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

Abstract

If there exists a completely bounded projection of B(H) onto a von Neumann algebra M on H, then M is injective. If there exists a bounded projection and M is properly infinite, the same conclusion holds.

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