U.S.-Switzerland Cooperative Research: Absolutely p-summingOperators (Mathematics)

该奖项将支持肯特州立大学的Joseph Diestel博士和Andrew M.Tonge博士与瑞士苏黎世大学的Hans Jarchow博士的合作研究。他们将研究并撰写一本关于绝对p-求和算子的理论和应用的专著。P-求和算子理论在现代抽象分析中起着核心作用，例如，作为研究Banach空间的基本工具。然而，这是一个复杂的数学领域，甚至与其他数学家也没有充分沟通。有必要对这一主题及其应用进行全面、简化的处理，以强调该理论与其他分析领域的关系。Diestel博士在功能分析方面有着良好的记录，他已经出版了几本书，这些书写得很好，被广泛阅读。汤格博士在张量积和代数方面的专业知识将为该项目做出贡献。Jarchow博士在相关主题上发表了大量文章，如圆盘代数上的算子和C*-代数上的算子。该项目将需要大量的背景研究和研究人员之间的讨论。这一奖项将使他们能够定期会面，比较和综合他们的结果。

This award will support collaborative research between Drs. Joseph Diestel and Andrew M. Tonge, Kent State University, with Dr. Hans Jarchow, University of Zurich, Switzerland. They will do research and write a monograph on the theory and applications of absolutely p-summing operators. The theory of p-summing operators plays a central role in modern abstract analysis, for example, as a fundamental tool for the study of Banach spaces. However, this is a complex area of mathematics that has been inadequately communicated even to other mathematicians. There is a need for a comprehensive, simplified treatment of the subject and its applications that will emphasize the relationship of the theory with other areas of analysis. Dr. Diestel has a strong track record in functional analysis and has published several books that were well written and broadly read. Dr. Tonge's expertise in tensor products and algebras will contribute to the project. Dr. Jarchow has published extensively in relevant topics such as operators on the disk algebra and on C*-algebras. The project will require a large amount of background research and discussion among the researchers. This award will enable them to meet periodically to compare and synthesize their results.