Linear maps which are local (g, h)-ternary derivations from ∗-module extension Banach algebras into their periodical duals

We introduce a \ast-module extension Banach algebras to generalized the results of Niazi and Miri. Precisely, every local (g,h)-ternary derivation from a \ast-module extension Banach algebra into one of its periodical duals is (g,h)-ternary derivation.

Keywords:

∗ -module extension Banach algebras , h)-derivations , (G , h)-generalized derivations , ternary (triple) derivations