期刊名称:International Journal of Mathematics and Mathematical Sciences
印刷版ISSN:0161-1712
电子版ISSN:1687-0425
出版年度:2003
卷号:2003
DOI:10.1155/S0161171203209108
出版社:Hindawi Publishing Corporation
摘要:Let D be a derivation on a Banach algebra; by using the
operator D2, we give necessary and sufficient conditions for
the separating ideal of D to be nilpotent. We also introduce an
ideal M(D) and apply it to find out more equivalent conditions
for the continuity of D and for nilpotency of its separating
ideal.