| Authors | Ali Reza Janfada,ahmad khoshab |
|---|---|
| Journal | Measure Algebras and Applications |
| Page number | 66-72 |
| Serial number | 3 |
| Volume number | 1 |
| Paper Type | Full Paper |
| Published At | 2025 |
| Journal Type | Electronic |
| Journal Country | Iran, Islamic Republic Of |
| Keywords | Random Banach *, algebras, Additive mappings, Derivations, Semiprime algebras. |
Abstract
This paper investigates the stability of certain linear mappings on random Banach *-algebras with derivations. We establish several theorems concerning additive mappings and derivations in these spaces, extending classical results to the probabilistic setting. Our main contributions include proving the existence and uniqueness of additive mappings satisfying specific functional inequalities and demonstrating conditions under which such mappings become derivations.