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In this note we show how Jordan *-derivations arise as a "measure" of the representability of quasi-quadratic functionals by sesquilinear ones. Our main result can be considered as an extension of the Jordan-von Neumann characterization of pre-Hilbert space.doi:10.1090/s0002-9939-1993-1158008-3 fatcat:3muy3fr2lrbgxcdoxsrjg2virq