Geodesic
Jordan $*$-derivation pairs on standard operator algebras and related results
Dilian Yang1
1 Department of Pure Mathematics University of Waterloo Waterloo, Ontario, Canada N2L 3G1
Colloquium Mathematicum, Tome 102 (2005) no. 1, pp. 137-145

Voir la notice de l'article provenant de la source Institute of Mathematics Polish Academy of Sciences

Motivated by Problem 2 in \cite{mol1}, Jordan $*$-derivation pairs and $n$-Jordan $*$-mappings are studied. From the results on these mappings, an affirmative answer to Problem 2 in \cite{mol1} is given when $E=F$ in (1) or when $\mathcal{A}$ is unital. For the general case, we prove that every Jordan $*$-derivation pair is automatically real-linear. Furthermore, a characterization of a non-normal prime $*$-ring under some mild assumptions and a representation theorem for quasi-quadratic functionals are provided.
DOI : 10.4064/cm102-1-12
Keywords: motivated problem cite mol jordan * derivation pairs n jordan * mappings studied results these mappings affirmative answer problem cite mol given mathcal unital general prove every jordan * derivation pair automatically real linear furthermore characterization non normal prime * ring under mild assumptions representation theorem quasi quadratic functionals provided

Dilian Yang 1

1 Department of Pure Mathematics University of Waterloo Waterloo, Ontario, Canada N2L 3G1 
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Dilian Yang. Jordan $*$-derivation pairs on standard operator algebras
and related results. Colloquium Mathematicum, Tome 102 (2005) no. 1, pp. 137-145. doi: 10.4064/cm102-1-12

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