Author/Authors :
Naranjani, Lila Department of Mathematics - Mashhad Branch - Islamic Azad University, Mashhad , Hassani, Mahmoud Department of Mathematics - Mashhad Branch - Islamic Azad University, Mashhad , Mirzavaziri, Madjid Department of Pure Mathematics - Ferdowsi University of Mashhad, Mashhad
Abstract :
Let A be a Banach algebra. We say that a sequence fDng1n
=0 of continuous operators form A into
A is a local higher derivation if to each a 2 A there corresponds a continuous higher derivation
fda;ng1 n=0 such that {Dn}(a) = da;n(a) for each non-negative integer n. We show that if A is a C*-
algebra then each local higher derivation on A is a higher derivation. We also prove that each local
higher derivation on a C*-algebra is automatically continuous.
Keywords :
Higher derivation , local higher derivation , derivation , local derivation
