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The following classes of operator spaces are completely locally
reflexive [EJR98, 6.1, 6.2],
[EH85, Prop. 5.4]:
- reflexive operator spaces (e.g. finite dimensional
operator spaces
),
- nuclear
- algebras (e.g.
or
commutative
-
algebras),54
- preduals of von Neumann algebras, especially duals
of
-algebras (e.g.
).
Footnotes
- ...54
- a survey of the theory of nuclear
-algebras is e.g. to be found in
[Mur90] and [Pat88].
Prof. Gerd Wittstock
2001-01-07