扩张理论的昨天和今天
Dilation theory yesterday and today
摘要：
保罗Halmos的工作膨胀理论开始于一个问题和它的答案：哪些运营商对希尔伯特空间可以扩展到正规算子对一个更大的希尔伯特空间？答案是有趣而微妙的。用作用于更大希尔伯特空间的概念上更简单的结构来表示算子理论结构的思想，已经成为算子理论发展的核心思想，更一般地说，是非交换分析的核心思想。这项工作今天仍在继续。在这篇文章中，我们总结了这些不同的结果和他们的历史。
英文摘要：
Paul Halmos' work in dilation theory began with a question and its answer: Which operators on a Hilbert space can be extended to normal operators on a larger Hilbert space? The answer is interesting and subtle. The idea of representing operator-theoretic structures in terms of conceptually simpler structures acting on larger Hilbert spaces has become a central one in the development of operator theory and, more generally, noncommutative analysis. The work continues today. In this article we summarize some of these diverse results and their history.
机构、总结、中文摘要均由AI分析而来，可能存在错误，请以论文正文为准。
