✦ LIBER ✦

Almost Completely Isometric Embeddings between Preduals of von Neumann Algebras

✍ Scribed by Narutaka Ozawa

Publisher: Elsevier Science
Year: 2001
Tongue: English
Weight: 191 KB
Volume: 186
Category: Article
ISSN: 0022-1236
DOI: 10.1006/jfan.2001.3796

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✦ Synopsis

We will prove that if the predual of an injective von Neumann algebra is embedded in the predual of another von Neumann algebra almost completely isometrically, then it is complemented almost completely contractively. This result is the operator space analogue of Dor's theorem.