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Geometric description of the preduals of atomic commutative von Neumann algebras

✍ Scribed by M. M. Ibragimov, K. K. Kudaybergenov, S. Zh. Tleumuratov…

Book ID
120748089
Publisher
SP MAIK Nauka/Interperiodica
Year
2013
Tongue
English
Weight
558 KB
Volume
93
Category
Article
ISSN
0001-4346

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Almost Completely Isometric Embeddings between Preduals of von Neumann Algebras
✍ 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.