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Best Approximations in Preduals of Von Neumann Algebras

✍ Scribed by Arias, A.; Mascioni, V.


Book ID
120094885
Publisher
Oxford University Press
Year
1992
Tongue
English
Weight
180 KB
Volume
s2-46
Category
Article
ISSN
0024-6107

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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.