Abstract
Let A be a Banach algebra and X be a (Banach) A-bimodule. A linear map T : A→X is called an n-Jordan multiplier if T(an) = aT(an− 1) for all a ∈ A. In this paper, among other things, we show that under special hypotheses every (n + 1)-Jordan multiplier is an n-Jordan multiplier and vice versa.
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