On Generalized Jordan Triple (α, β)*-Derivations and Related Mappings

Let R be a 2-torsion free semiprime *-ring and let alpha, beta be surjective endomorphisms of R. The aim of the paper is to show that every generalized Jordan triple (alpha, beta)*-derivation on R is a generalized Jordan (alpha, beta)*-derivation. This result makes it possible to prove that every generalized Jordan triple (alpha, beta)*-derivation on a semisimple H*- algebra is a generalized Jordan (alpha, beta)*-derivation. Finally, we prove that every Jordan triple left alpha*-centralizer on a 2-torsion free semiprime ring is a Jordan left alpha*-centralizer.