论文标题
关于弗雷切特代数的歌手猜想
On Singer-Wermer conjecture in Frechet algebras
论文作者
论文摘要
我们构建了两个特定代数，这些代数承认许多相互不相等的特定代数拓扑。第二个示例是对非巴纳赫特代数的少女（和第一个）示例的修改，该代数具有两个不等的特雷切特代数拓扑，被认为是雷德认为表明在Frechet案例中不存在著名的歌手猜想。然而，通过第二个例子确实存在猜想，这也承认了许多相互等效的特定代数拓扑。
We construct two Frechet algebras admitting countably many mutually inequivalent Frechet algebra topologies. The second example is a modification of the maiden (and first) example of a non-Banach Frechet algebra with two inequivalent Frechet algebra topologies, considered by Read to show that the famous Singer-Wermer conjecture does not hold in the Frechet case. However the conjecture does hold by the second example which also admits countably many mutually equivalent Frechet algebra topologies.
