On summands of closed bounded convex sets (Q1811420)

For closed, bounded convex sets \(A\), \(B\) in a Hausdorff topological vector space \(X\), the sum is defined by \(A\dot+ B:=\overline{A+B}\), where the bar denotes closure, and the difference is defined by \(A\dot- B:=\{x\in X: x+ B\subset A\}\). This paper collects a number of properties of these two operations (known in the finite-dimensional case) and then derives four criteria for summands of closed bounded (or compact) convex sets.