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LINEAR MAPS WHICH ARE θ-CENTRALIZERS AT ZERO OR IDENTITY PRODUCTS

LINEAR MAPS WHICH ARE θ-CENTRALIZERS AT ZERO OR IDENTITY PRODUCTS

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Let A be a unital Banach algebra and let θ : A ⟶ A be a homomorphism. In this paper, we study linear maps T : A ⟶ A which are θ-centralizers at zero or identity products, and under special hypotheses we show that every such linear map is a θ-centralizer. Zero and identity Jordan products preservers, and a more restrictive version of them are also discussed.

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