Department of Mathematics, Faculty of Mathematics, Ferdowsi University of Mashhad, Mashhad, Islamic Republic of Iran
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.
Mahdavian Rad,H and Niknam,A . (2013). Double Derivations, Higher Double Derivations
and Automatic Continuity. Journal of Sciences, Islamic Republic of Iran, 24(2), 165-170.
MLA
Mahdavian Rad,H , and Niknam,A . "Double Derivations, Higher Double Derivations
and Automatic Continuity", Journal of Sciences, Islamic Republic of Iran, 24, 2, 2013, 165-170.
HARVARD
Mahdavian Rad H, Niknam A. (2013). 'Double Derivations, Higher Double Derivations
and Automatic Continuity', Journal of Sciences, Islamic Republic of Iran, 24(2), pp. 165-170.
CHICAGO
H Mahdavian Rad and A Niknam, "Double Derivations, Higher Double Derivations
and Automatic Continuity," Journal of Sciences, Islamic Republic of Iran, 24 2 (2013): 165-170,
VANCOUVER
Mahdavian Rad H, Niknam A. Double Derivations, Higher Double Derivations
and Automatic Continuity. J. Sci. I. R. I.. 2013;24(2):165-170.
Journal of Sciences, Islamic Republic of Iran