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Let A be a commutative Banach algebra with identity of norm 1, A" a Banach A -module and G a locally compact abelian group with Haar measure. Then the multipliers from an A -valued function algebra into an A"-valued function space is studied. We characterize the multiplier spaces as the following isometrically isomorphic relations under some appropriate conditions:doi:10.1017/s1446788700022163 fatcat:m5al34ub6nbflofprqcs3t3gom