Hopenwasser理想的距离公式

Distance Formula of Hopenwasser Ideals

在［１］中Ａ．Ｈｏｐｅｎｗａｓｓｅｒ讨论了Ｎｅｓｔ代数的一类超凝聚理想，称为Ｈｏｐｅｎｗａｓｓｅｒ理想，本文将给出这类理想的距离公式，这个结果一般化为［２］中的距离公式．特别地，我们得到了Ｎｅｓｔ代数的Ｊａｃｏｂｓｏｎ根和Ｌａｒｓｏｎ强根的距离公式．

A. Hopenwasser [1] has discussed a class of hypercausal ideals in nest algebras. The ideals is called Hopenwasser ideals. This paper will give a distance formula of the ideals. The distance formula is generalization of [2]. Especially, we will obtain the distance formula of Jacobson radical and Larson strong radical in nest algebras.