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 
@article{10_4064_cm102_1_12,
     author = {Dilian Yang},
     title = {Jordan $*$-derivation pairs on standard operator algebras
and related results},
     journal = {Colloquium Mathematicum},
     pages = {137--145},
     publisher = {mathdoc},
     volume = {102},
     number = {1},
     year = {2005},
     doi = {10.4064/cm102-1-12},
     language = {en},
     url = {http://geodesic.mathdoc.fr/articles/10.4064/cm102-1-12/}
}
TY  - JOUR
AU  - Dilian Yang
TI  - Jordan $*$-derivation pairs on standard operator algebras
and related results
JO  - Colloquium Mathematicum
PY  - 2005
SP  - 137
EP  - 145
VL  - 102
IS  - 1
PB  - mathdoc
UR  - http://geodesic.mathdoc.fr/articles/10.4064/cm102-1-12/
DO  - 10.4064/cm102-1-12
LA  - en
ID  - 10_4064_cm102_1_12
ER  - 
%0 Journal Article
%A Dilian Yang
%T Jordan $*$-derivation pairs on standard operator algebras
and related results
%J Colloquium Mathematicum
%D 2005
%P 137-145
%V 102
%N 1
%I mathdoc
%U http://geodesic.mathdoc.fr/articles/10.4064/cm102-1-12/
%R 10.4064/cm102-1-12
%G en
%F 10_4064_cm102_1_12
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. http://geodesic.mathdoc.fr/articles/10.4064/cm102-1-12/

Cité par Sources :