Fourteenth International Conference on Banach Algebras

第十四届国际Banach代数会议将于1999年7月25日至8月7日在加州克莱蒙的波莫纳学院举行。 这一系列的会议强调bothBanach代数和他们的连接与其他领域的分析。这次会议的标题是“Banach代数和算子的Banach空间”。 正式的会议计划将涉及约60会谈一般理论的巴拿赫代数，concreteBanach代数，并在相关领域的分析。 在讲座中将强调的一些领域包括自动连续性，顺从性和Banach同调，Banach代数的结构，谱理论和算子理论，群代数和其他卷积代数，以及复分析方法。现代数学的伟大成就之一是抽象。就像初等代数推广算术的方式一样，抽象使数学家不仅能够解决个别问题，而是各种各样的问题 20世纪最重要的例子之一是被称为泛函分析的领域。 泛函分析使用新的抽象技术来处理已经被我们现在所说的经典分析研究了两百多年的问题，经典分析是从微积分中发展出来的方法的集合。泛函分析，而不是集中在单个函数上，研究函数的空间和这种空间的抽象。不仅新问题和以前难以解决的老问题可以通过结合新的和旧的方法来解决，但新的结构functionalanalysis也提供了一种新的语言，需要表达的许多结果，现代物理学，后来，其他领域的科学和经济学。 泛函分析所考虑的空间都有一些加法运算，但许多最重要的空间也有其他运算。 特别是，巴拿赫代数和相关领域涉及非常大的和重要的问题和结构的集合，有某种乘法以及通常的加法。 到20世纪60年代，会议的主题巴拿赫代数已经成为公认的数学领域。 自1974年以来，定期召开的Banach代数国际会议已成为世界各国研究人员了解该领域最新情况、开展和继续研究合作以及与相关领域研究人员交流思想的重要途径。

The Fourteenth International Conference on Banach Algebras willbe held at Pomona College in Claremont, California, from July 25through August 7, 1999. This series of conferences emphasizes bothBanach algebras and their connections with other areas of analysis.The title of this conference is "Banach Algebras and Operators onBanach Spaces". The formal conference program will involve aboutsixty talks on the general theory of Banach algebras, on concreteBanach algebras, and on related areas of analysis. Some areasthat will be emphasized in the talks include automatic continuity,amenability and Banach homology, structure of Banach algebras,spectral theories and operator theory, group algebras and otherconvolution algebras, and complex analytic methods.One of the great accomplishments of modern mathematics is abstraction.Much like the way elementary algebra generalizes arithmetic, abstractiongives mathematicians the power to solve not only individual problems,but entire classes of problems. One of the most important twentieth-century examples is the field called functional analysis. Functionalanalysis uses new abstract techniques to treat problems that had beenstudied for more than two hundred years by what we now call classicalanalysis, which is the collection of methods that grew out of the calculus.Functional analysis, instead of concentrating on individual functions,studies spaces of functions and abstractions of such spaces. Not onlycould new problems and previously intractable old problems be solved bycombining the new and old methods, but the new structures of functionalanalysis also provided a new language which was needed to express many ofthe results of modern physics and, later, of other areas of science andof economics. The spaces considered by functional analysis all have somesort of operation of addition, but many of the most important spaces haveother operations as well. In particular, Banach algebras and relatedareas involve the very large and important collection of problems andstructures which have some sort of multiplication as well as the usualaddition. By the 1960s, Banach algebras, the subject of the conference, had become a recognized field of mathematics. Since 1974 the regularinternational conferences on Banach algebras have become an importantway for researchers worldwide to keep abreast of the field, to initiateand continue research collaborations, and to exchange ideas with researchersin related areas.