摘要
设T是复数域上的代数,T的换位子[T,T]指{[a,b]:a,6∈T}的线性扩张．本文给出了Nest代数T(N)的换位子[T(N),T(N)1]的σ-弱算子拓扑闭包的刻画,和TAF代数T的换位子[T,T]的范数闭包的几种刻画,进一步得到是T的理想．
Let T be an associative algebra over the complex filed, and the commutator [T, T] of T be the linear span of the set {[a, b] ： a, b ∈ T}. We describe the σ - wot closure of the commutator of a nest algebra and the norm closure of the commutator of an TAF algebra.
基金
国家自然科学基金(10371061)
天元基金(A0324614).
