Authors | Mohsen Niazi |
---|---|
Journal | Results in Mathematics |
Page number | 1-10 |
Serial number | 75 |
Volume number | 3 |
Paper Type | Full Paper |
Published At | 2020 |
Journal Grade | ISI |
Journal Type | Electronic |
Journal Country | Belgium |
Journal Index | JCR،Scopus |
Abstract
We prove that every continuous conjugate linear mapping from a unital C*-algebra A into its dual space, A*, which is ternary derivable at the unit element of A is a ternary derivation. This is somehow a ternary counterpart result for (binary) derivations on associative algebras which proves that any linear continuous map from a unital C*-algebra A into a Banach A-bimodule which is derivable at the unit element of A, is a derivation.
tags: ternary derivation, Jordan triple, ternary module, C*-algebra