Operators on Hilbert Space

9623480卡尔M.小皮尔斯 这个项目的目的是积累更多的知识，从而更好地理解希尔伯特空间上的算子结构。在过去的18年里，取得了很大的进展，有采用理论的对偶代数的运营商，其中主要调查员帮助建立。在接下来的两年里，他计划沿着这些相同的路线进行研究，并指导三位博士的研究。在他指导下写论文的学生。 今天的科学技术依赖于许多复杂的数学概念，包括希尔伯特空间上的算子。主要研究者和他的学生们正在从事有关这类算子的研究。 从调查中获得的知识可能会导致数据传输、地震勘探、信号处理和石油开采等重要技术领域的未来发展。

9623480 Carl M. Pearcy, Jr. The purpose of this project is to accumulate more knowledge leading to a better understanding of the structure of operators on Hilbert space. In the past eighteen years much progress has been made there by employing the theory of dual algebras of operators, which the principal investigator helped to establish. During the next two years, he plans to conduct research along these same lines, and to supervise the research of three Ph. D. level students who are writing theses under his direction. Today's scientific technology depends on many sophisticated mathematical concepts, including that of an operator on Hilbert space. The principal inves- tigator and his students are engaged in research concerning such operators. Knouledge gained from the investigations may lead to future advances in such important technological areas as data transmission, seismic exploration, sig- nal processing, and petroleum recovery.