论文标题
简单的非紧密超自然运算符的例子
Simple examples of non closable paranormal operators
论文作者
论文摘要
在本说明中，我们举了一个密集定义的不易智能操作员的示例。然后，我们给出了一个密集定义的可闭合算子的另一个例子，其闭合无法是超自然现象。这两个示例比最初出现在[1]中的示例要简单。值得注意的是，我们的第一个例子告诉我们，密集定义的超自然现象操作员的伴随可能具有一个微不足道的域。
In this note, we give an example of a densely defined non-closable paranormal operator. Then, we give another example of a densely defined closable paranormal operator whose closure fails to be paranormal. These two examples are simpler than those which first appeared in [1]. It is worth noticing that our first example tells us that the adjoint of a densely defined paranormal operator may have a trivial domain.
