含单位元Banach代数的广义左导子与广义导子的超稳定性(英文)

Superstability for generalized left derivations and generalized derivations on a unital Banach algebra

应用广义左导子和广义导子的相关概念,讨论了在含单位元的Banach代数上的广义左导子与广义导子的超稳定性,并在此基础上给出广义左导子与广义导子线性性的一些结论.所得结果推广了2008年S.-Y.Kang和I.-S.Chang给出的相关结果.

The conceptions of generalized left derivation and generalized derivation are applied, and the superstability of generalized left derivations and generalized derivations on a unital Banach algebra are discussed. Based on these, some results of the linear properties of generalized left derivations and generalized derivations are given. The results obtained in this note generalize the related results given by S. -Y. Kang and I. -S. Chang in 2008.