Author's: Amir A. Mohammed and Suham M. Ali
Pages: [137] - [146]
Received Date: March 7, 2014
Submitted by:
A is a linear mapping D from a normed
algebra
into itself such that
for all
where g is continuous linear map
from
into itself. In this paper, we prove that
any
on a semiprime Banach nonassociative
algebra
is continuous if for each closed infinite
dimensional ideal
there is a sequence
(the multiplication algebra of
), such that the sequence
of closed right ideals of
is constantly decreasing. As a
consequence, every
on nonassociative
with zero annihilator is continuous.
nonassociative algebras, derivations, automatic continuity.