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

该项目支持为期三周的数学 研究所将由美国组织 数学学会在1988年夏天。 的 该研究所将是一系列计划中的第三十六个 目的是把一大群 对某一领域感兴趣的数学家 数学研究的一部分。 重点主要放在 在很高的水平上，通过研讨会和 相关领域杰出数学家的讲座 领域的 1988年的研究所将重点放在"运营商 Theory/Operator Algebras and Applications. 期间 近二十年来算子理论已经成熟。 的 主题已经在几个方向发展，使用新的 和强大的方法，导致解决基本的 在六十年代被认为是无法解决的问题。 这些事态发展使相互之间的联系更加丰富 数学的其他领域，包括代数 拓扑与指标理论，复分析于一体， 多变量和概率论 这 研究所将总结目前的进展， 研究存在的共同和统一的理论 个话题吧

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.