Author/Authors :
Mahdavian Rad، H. نويسنده Department of Mathematics, Faculty of Mathematics, Ferdowsi University of , , Niknam، A. نويسنده Department of Pure Mathematic, Ferdowsi University of Mashhad, P.O. Box 1159-91775, Mashhad, Iran Niknam, A.
Abstract :
Let be a Banach algebra. Let be linear mappings on . First we demonstrate a theorem concerning the continuity of double derivations; especially that all of -double derivations are continuous on semi-simple Banach algebras, in certain case. Afterwards we define a new vocabulary called “ -higher double derivation” and present a relation between this subject and derivations and finally give some theorems and corollaries about the automatic continuity of this notion.
