论文标题
关于派生的不连续性，诱导非唯一的完整度量拓扑
On discontinuity of derivations, inducing non-unique complete metric topologies
论文作者
论文摘要
我们提供了一种简单的方法，用于构建交换性特里切特代数，该代数接受两个不等的特定代数代数拓扑。结果用于表明任何非代数分析功能的作用在其他有用的应用中都无法唯一地定义。我们从1974年开始对Loy的问题做出肯定的答案。我们还获得了具有有限维度自由基的某些特定代数的Frechet代数拓扑的独特性。
We give a simple method for constructing commutative Frechet algebras which admit two inequivalent Frechet algebra topologies. The result is applied to show that the action of any non-algebraic analytic function may fail to be uniquely defined among other useful applications. We give an affirmative answer to a question of Loy from 1974. We also obtain the uniqueness of the Frechet algebra topology of certain Frechet algebras with finite dimensional radicals.
