LINEAR MAPPINGS CHARACTERIZED BY ACTION ON ZERO PRODUCTS ON BANACH ALGEBRAS

Ahmad Minapoor

Abstract


Let A be a Banach algebra and X be a Banach A-bimodule. In this paper, we characterize certain linear maps T : A −→ X by action on zero products. Also we initiate the study of multipliers and Jordan multipliers on standard operator algebras.



Keywords


Multiplier, left derivation, W∗-algebra, standard operator algebras

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