On Banach Lattice Algebras

Abstract

Abstract. In this paper we investigate a characterization of a Banach lattice algebra with unit to be represented as an AM -f -algebra. We also consider, for a locally compact Hausdorff topological space L and a Banach lattice space A, the identification of C b (L, Z(A)) with the center Z(C 0 (L, A)) of C 0 (L, A).