Document Type : Research Paper

Author

• Abbas Zivari-Kazempour

Department of Mathematics, Ayatollah Borujerdi University, Borujerd, Iran

Abstract

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

Keywords

• $n$-multiplier
• Bilinear maps
• $W^{\ast }$-algebra
• unital $A$-bimodule