Mathematical Sciences: 1988 Summer Institute on "Operator Theory/Operator Algebras and Applications"

这个项目支持美国数学学会在1988年夏天组织的一个为期三周的数学研究所。该研究所将是一系列计划中的第36个，其目的是将一大群对某一特定数学研究领域感兴趣的数学家聚集在一起。重点主要放在教学在一个非常高的水平与研讨会和讲座由著名数学家在相关领域。1988年研究所的重点是“算子理论/算子代数和应用”。在过去的二十年里，算符理论已经成熟。这门学科已经向几个方向发展，使用了新的和强大的方法，这些方法导致了60年代被认为是无法解决的基本问题的解决方案。这些发展与数学的其他领域，包括代数拓扑学和指数理论、单变量和多变量复分析以及概率论，相互丰富了联系。本研究所将总结目前的进展，并研究在该学科中存在的共同和统一的理论。

This project supports a three week mathematical research institute to be organized by the American Mathematical Society during the summer of 1988. The institute will be the thirty-sixth in a series planned with the purpose of bringing together a large group of mathematicians who are interested in a particular field of mathematical research. Emphasis is placed primarily on instruction at a very high level with seminars and lectures by distinguished mathematicians in related fields. The 1988 institute will focus on "Operator Theory/Operator Algebras and Applications". During the last twenty years operator theory has come of age. The subject has developed in several directions, using new and powerful methods that led to the solutions of basic problems thought to be inaccessible in the sixties. These developments have made mutually enriching contact with other areas of mathematics, including algebraic topology and index theory, complex analysis in one and several variables, and probability theory. This institute will summarize the current progress and examine the common and unifying theories that exist in the subject.