Composition of weakly uniformly continuous functions.

Abstract

Let E and F be Banach spaces and let Cwu(E) be the Fréchet algebra of real-valued functions on E which are uniformly weakly continuous when restricted to any bounded subset of E. Homomorphisms, and properties of such homomorphisms, between Cwu(E) and Cwu(F) are characterised in terms of mappings from F” to E”.