Isomorphisms of Cartesian products and smallness up to a complemented Banach subspace property

Cupples I Room 218

Let $(X_i,Y_i), i=1,2$ be pairs of locally convex spaces satisfying $X_1 \times X_2 \cong Y_1 \times Y_2$. Int his talk we discuss some conditions under which $X_1 \cong Y_1$ and $X_2 \cong Y_2$. We also mention about the property of smallness up to a complemented Banach subspace and its stability under topological tensor products.