Abstract:For a Banach space
X
X
defined in terms of a big-
O
O
condition and its subspace x defined by the corresponding little-
o
o
condition, the biduality property (generalizing the concept of reflexivity) asserts that the bidual of x is naturally isometrically isomorphic to
X
X
. The property is known for pairs of many classical function spaces (such as
(
ℓ
∞
,
c
0
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