Spaces of functions with values in a Banach algebra
Spaces of functions with values in a Banach algebra
Introduction. In the following pages certain spaces of abstract-valued functions are examined. Throughout the paper A will denote a commutative Banach algebra. In analogy to the group algebra L'(G) of a locally compact Abelian group G, that is, the space of absolutely integrable complex-valued functions on G, we form the …