Mathematical Sciences: The Structure of Non-Semisimple Banach Algebras

柯蒂斯和巴德教授将继续他们的研究， 一个原子团中的原子团之间的潜在结构关系 非半单Banach代数和包含它的代数。 这个问题将在可接受或弱的背景下进行。 顺从Banach代数将特别注意 由非谱集产生的非半单代数 局部紧交换群群代数综合 和相关的Beurling代数。 Banach代数由抽象对象组成，这些对象可以 但乘法的确切形式 规则是故意不指定，以便获得的结果 适用于很多情况。 Banach的具体例子 代数是丰富的，这项研究将有助于阐明 他们的结构。

Professors Curtis and Bade will continue their research into the underlying structural relationship between the radical in a non-semisimple Banach algebra and the algebra which contains it. This problem will be pursued in the context of amenable or weakly amenable Banach algebras. Particular attention will be paid to non-semisimple algebras arising from sets of non spectral synthesis for group algebras of locally compact abelian groups and for the associated Beurling algebras. Banach algebras are composed of abstract objects which can be added or multiplied, but the exact form of the multiplication rule is purposely not specified so that the results obtained apply to very many situations. Concrete examples of Banach algebras are plentiful, and this research will help elucidate their structure.