Authors | Mohsen Niazi |
---|---|
Journal | Mediterranean Journal of Mathematics |
Page number | 1-14 |
Serial number | 18 |
Volume number | 6 |
IF | 0.868 |
Paper Type | Full Paper |
Published At | 2021 |
Journal Grade | ISI |
Journal Type | Typographic |
Journal Country | Italy |
Journal Index | JCR،Scopus |
Abstract
Extending derivability of a mapping from one point of a C*-algebra to the entire space is one of the interesting problems in derivation theory. In this paper, by considering a C*-algebra A as a Jordan triple with triple product {a,b,c}=(ab*c+cb*a)/2, and its dual space as a ternary A-module, we prove that a continuous conjugate linear mapping T from A into its dual space is a ternary derivation whenever it is ternary derivable at zero and the element T(1) is skew-symmetric.
tags: Jordan triple, ternary module, ternary derivation, ternary derivable at a point, C*-algebra.