Duality results for order precompact sets in locally solid Riesz spaces (Q1174831)

Let \(X\) be an Archimedean Riesz space. A subset \(A\) in \(E\) is called Riesz precompact whenever, for every solid neighbourhood \(N\) of zero in \(X\), there exists an order bounded subset \(B\) of \(A\) such that \(A\subset B+ N\). The author establishes duality results of Schauder's type for order bounded operators sending solid bounded sets onto Riesz precompact sets.