We show that in the dual of Weak L 1 the subspace of all rearrangement invariant continuous linear functionals is lattice isometric to a space L 1(μ) and is the linear hull of the maximal elements of the dual unit ball. We also show that the dual of Weak L 1 contains a norm closed weak* dense ideal which is lattice isometric to an ℓ 1-sum of spaces of type C(K).
Positivity – Springer Journals
Published: Oct 29, 2007
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