Geodesic
Generalized Triple Homomorphisms and Derivations
Canadian journal of mathematics, Tome 65 (2013) no. 4, pp. 783-807

Voir la notice de l'article provenant de la source Cambridge

DOI

We introduce generalized triple homomorphisms between Jordan–Banach triple systems as a concept that extends the notion of generalized homomorphisms between Banach algebras given by K. Jarosz and B. E. Johnson in 1985 and 1987, respectively. We prove that every generalized triple homomorphism between $\text{J}{{\text{B}}^{*}}$ -triples is automatically continuous. When particularized to ${{C}^{*}}$ -algebras, we rediscover one of the main theorems established by Johnson. We will also consider generalized triple derivations from a Jordan–Banach triple $E$ into a Jordan–Banach triple $E$ -module, proving that every generalized triple derivation from a $\text{J}{{\text{B}}^{*}}$ -triple $E$ into itself or into ${{E}^{*}}$ is automatically continuous.
DOI : 10.4153/CJM-2012-043-7
Mots-clés : 46L05, 46L70, 47B48, 17C65, 46K70, 46L40, 47B47, 47B49, generalized homomorphism, generalized triple homomorphism, generalized triple derivation, Banach algebra, Jordan-Banach triple, c*-algebra, JB*-triple 
Garcés, Jorge J.; Peralta, Antonio M. Generalized Triple Homomorphisms and Derivations. Canadian journal of mathematics, Tome 65 (2013) no. 4, pp. 783-807. doi: 10.4153/CJM-2012-043-7
@article{10_4153_CJM_2012_043_7,
     author = {Garc\'es, Jorge J. and Peralta, Antonio M.},
     title = {Generalized {Triple} {Homomorphisms} and {Derivations}},
     journal = {Canadian journal of mathematics},
     pages = {783--807},
     year = {2013},
     volume = {65},
     number = {4},
     doi = {10.4153/CJM-2012-043-7},
     url = {http://geodesic.mathdoc.fr/articles/10.4153/CJM-2012-043-7/}
}
TY  - JOUR
AU  - Garcés, Jorge J.
AU  - Peralta, Antonio M.
TI  - Generalized Triple Homomorphisms and Derivations
JO  - Canadian journal of mathematics
PY  - 2013
SP  - 783
EP  - 807
VL  - 65
IS  - 4
UR  - http://geodesic.mathdoc.fr/articles/10.4153/CJM-2012-043-7/
DO  - 10.4153/CJM-2012-043-7
ID  - 10_4153_CJM_2012_043_7
ER  - 
%0 Journal Article
%A Garcés, Jorge J.
%A Peralta, Antonio M.
%T Generalized Triple Homomorphisms and Derivations
%J Canadian journal of mathematics
%D 2013
%P 783-807
%V 65
%N 4
%U http://geodesic.mathdoc.fr/articles/10.4153/CJM-2012-043-7/
%R 10.4153/CJM-2012-043-7
%F 10_4153_CJM_2012_043_7

Cité par Sources :