Convex Solid Subsets of L0(X, μ)
- Cite this article as:
- Schep, A.R. Positivity (2005) 9: 491. doi:10.1007/s11117-005-3188-7
If A⊂ L0(X, μ) is a convex solid subset of L0(X, μ), then there exist disjoint X0 and X1 with X = X0∪ X1 such that A| X_0 is dense in L0(X0, μ) and A|X_1 is bounded in measure in L0(X1, μ).