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Double Derivations, Higher Double Derivations and Automatic Continuity | ||
Journal of Sciences, Islamic Republic of Iran | ||
مقاله 8، دوره 24، شماره 2، شهریور 2013، صفحه 165-170 اصل مقاله (292.01 K) | ||
نوع مقاله: Original Paper | ||
نویسندگان | ||
H. Mahdavian Rad* ؛ A. Niknam | ||
Department of Mathematics, Faculty of Mathematics, Ferdowsi University of Mashhad, Mashhad, Islamic Republic of Iran | ||
چکیده | ||
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. | ||
کلیدواژهها | ||
Derivation؛ ( )-Derivation؛ -Double derivation؛ Higher double derivation | ||
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