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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

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✍ Narutaka Ozawa 📂 Article 📅 2001 🏛 Elsevier Science 🌐 English ⚖ 191 KB

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.