Bulletin of the Australian Mathematical Society

Research Article

Characterisations of derivations on some operator algebras

Wu Jinga1, Shijie Lua2 and Pengtong Lia3

a1 Department of Mathematics, Yuquan Campus, Zhejiang University, Hangzhou 310027, People's Republic of China e-mail: jingwu@math.zju.edu.cn

a2 Department of Mathematics, Yuquan Campus, Zhejian University, Hangzhou 310027, People's Republic of China e-mail: lusj@zucc.edu.cn

a3 Department of Mathematics, Nanjing University, Nanjing 210093, People's Republic of China e-mail: ptli@nju.edu.cn

Some conditions under which a derivation on some operator algebras can be completely determined by the action on operators of zero product are given.

(Received January 03 2002)