Double Derivations, Higher Double Derivations and Automatic Continuity

Author(s):

H. Mahdavian Rad , A. Niknam

Message:
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.
Keywords:

Derivation , () , Derivation , Double derivation , Higher double derivation

Language:
English
Published:
Journal of Sciences, Islamic Republic of Iran, Volume:24 Issue: 2, Spring 2013
Page:
165
https://www.magiran.com/p1173512