A separable L-embedded Banach space has property (X) and is therefore the unique predual of its dual

Details A separable L-embedded Banach space has property (X) and is therefore the unique predual of its dual A separable L-embedded Banach space has property (X) and is therefore the unique predual of its dual

2005-07-18

arxiv.org/abs/math/0507354v1

Mathematics

Functional Analysis

Scientific paper

In this note the following is proved. Separable L-embedded spaces - that is
separable Banach spaces which are complemented in their biduals such that the
norm between the two complementary subspaces is additive - have property (X)
which, by a result of Godefroy and Talagrand, entails uniqueness of the space
as a predual.

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