B(X)上的Jordan τ-中心化子

Jordan τ-centralizers on B(X)

讨论了Banach空间上的全体有界线性算子B(X)上的一类中心化子的保持性问题.考虑到B(X)上含有单位元这一特性,用简洁的方法证明了B(X)的一个左Jordan τ-中心化子是左τ-中心化子,并进一步证明了B(X)的一个Jordan τ-中心化子是τ-中心化子.从而在Banach空间上得到了一个良好的保持性结论.

Let B（X） be all of the bounded linear operator on Banach space.A kind of centralizers keeping problem on B（X） has been discussed in this paper.Simple ways used to proved that in some conditions left Jordan τ-centralizers are left τ-centralizers on B（X）,moreover it was proved that Jordan τ-centralizers are τ-centralizers on B（X）.Thus a good mapping keeping conclusion have been received on Banach space.