Jordan and Local Multipliers on Certain Banach Algebras are Multipliers

We prove that every continuous Jordan multiplier T from a  C^*-algebra A into a Banach A-bimodule X is a multiplier. We also characterize continuous linear maps on C^*-algebras and standard operator algebras determined by preserving some identities involving zero products. Additionally, we show that each continuous local multiplier from a Banach algebra A with property (\mathbb{B}) into a Banach A-bimodule X is a multiplier.

کلیدواژه ها:

Multiplier ، Jordan multiplier ، Local multiplier ، group algebra ، standard operator algebra