Characterizing n-multipliers on Banach algebras through zero products

Let A be a unital Banach algebra and X be a unital A-bimodule. In this paper, among other things, we characterize n-multipliers T: A\longrightarrow X by applying zero products preserving bilinear maps.We also describe n-multipliers from C^*-algebra A into X through the action on zero products.

Keywords:

n-multiplier , Bilinear maps , W^*-algebra , unital A-bimodule