Summary
The aim of this paper is to study the system of functional equations
, where is a complex *-algebra and are unknown additive functions. This problem arises naturally in connection with the question of representability of quadratic functionals via sesquilinear forms on modules over. We give a fairly complete solution of the problem and examine the case of some particular algebras.
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Research partially supported by the Hungarian National Research Science Foundation, Operating Grant Number OTKA 1652 and K&H Bank Ltd., Universitas Foundation.
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Molnár, L. Jordan *-derivation pairs on a complex *-algebra. Aequ. Math. 54, 44–55 (1997). https://doi.org/10.1007/BF02755445
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DOI: https://doi.org/10.1007/BF02755445