%0 Journal Article
%T Double Derivations, Higher Double Derivations
and Automatic Continuity
%J Journal of Sciences, Islamic Republic of Iran
%I University of Tehran
%Z 1016-1104
%A Mahdavian Rad, H.
%A Niknam, A.
%D 2013
%\ 06/01/2013
%V 24
%N 2
%P 165-170
%! Double Derivations, Higher Double Derivations
and Automatic Continuity
%K Derivation
%K ( )-Derivation
%K -Double derivation
%K Higher double derivation
%R
%X 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.
%U https://jsciences.ut.ac.ir/article_32083_a3fea6fd0fece698a82950d6b3210a49.pdf