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Remark 2 A proof based on similar arguments to those in the previous theorem allows us to represent p-convex Banach lattices (with p-convexity constant equal to 1) having the σ-Fatou property and such that E a is super order dense in E. In this case, E is order isometric to [ L p ] σ -F for some vector measure ν defined on a δ-ring.
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