赋范代数上的广义Jordan kth偏导子

摘要

A1,A2..,An设是复数域上的赋范代数,B是复数域上的Banach代数,给出了广义Jordan kth偏导子δk:Al×…×An→B的概念,并刻画了δk:A1×…×An→B在The Hyers-Ulam-Rassias方程下的稳定性的问题.%Assume that A1,A2 A2……An are normed algebras, B is a Banach algebra, the concept of the extended Jordan kth partial derivation is introduced. The Hyers-Ulam-Rassias stability problem of the extended Jordan kth partial derivations on normed algebras are characterized.