Primary products of Banach spaces

摘要

A Frechct space E is called primary if whenever E=FOG, then either F or G is isomorphic to E. It is known that w, (cQf and (Pf, with 1 g p g oo, are primary Frechet spaces without continuous norm (see [4], [6]). However, it is unknown whether there are other countable products of Banach spaces which are primary. For examples of primary Frechel spaces with a continuous norm we refer to [1], [3] and [7].