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Banach spaces which are M-ideals in their bidual have property (u). (English) Zbl 0659.46014

We show that every Banach space which is an M-ideal in its bidual has the property (u) of Pelczynski. Several consequences are mentioned.
Reviewer: G.Godefroy

MSC:

46B10 Duality and reflexivity in normed linear and Banach spaces
46B20 Geometry and structure of normed linear spaces
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