论文标题
作用于有限和无限尺寸希尔伯特空间的操作员之间的二分法
Dichotomy between operators acting on finite and infinite dimensional Hilbert spaces
论文作者
论文摘要
在这篇说明性文章中，我们提供了几个例子，显示了作用在有限尺寸的希尔伯特空间上的操作员的行为截然不同。这篇文章是在如此友好的阅读器中写的，以表明无限尺寸环境中的情况比有限的情况更棘手。
In this expository article, we give several examples showing how drastically different can be the behavior of operators acting on finite versus infinite dimensional Hilbert spaces. This essay is written as in such a friendly-reader to show that the situation in the infinite dimensional setting is trickier than the finite one.
