Volume no :11, Issue no: 2, May

ON THE NONASSOCIATIVE JEWELL-SINCLAIR THEOREM

Author's: Amir A. Mohammed and Suham M. Ali
Pages: [137] - [146]
Received Date: March 7, 2014
Submitted by:

Abstract

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.

Keywords

nonassociative algebras, derivations, automatic continuity.