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On the geometry of von Neumann algebra preduals

✍ Scribed by Martín, Miguel; Ueda, Yoshimichi

Book ID: 121609929
Publisher: Springer
Year: 2013
Tongue: English
Weight: 246 KB
Volume: 18
Category: Article
ISSN: 1385-1292
DOI: 10.1007/s11117-013-0259-z

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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.

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