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Mahdavian Rad, H., Niknam, A.. (1392). Double Derivations, Higher Double Derivations and Automatic Continuity. , 24(2), 165-170.
H. Mahdavian Rad; A. Niknam. "Double Derivations, Higher Double Derivations and Automatic Continuity". , 24, 2, 1392, 165-170.
Mahdavian Rad, H., Niknam, A.. (1392). 'Double Derivations, Higher Double Derivations and Automatic Continuity', , 24(2), pp. 165-170.
Mahdavian Rad, H., Niknam, A.. Double Derivations, Higher Double Derivations and Automatic Continuity. , 1392; 24(2): 165-170.

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
آمار
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