论文标题
关于Banach代数的双重性
On biamenability of Banach algebras
论文作者
论文摘要
在本文中，我们介绍了Banach代数的双重性概念，我们表明，尽管Banach代数的不合适性和双重性之间存在明显的相似性，但它们导致了非常不同的，有些反对的理论。在这方面，我们表明，诸如R和C之类的交换性BANACH代数倾向于缺乏双人性，而它们可能是可符合的，并且对于无限的尺寸Hilbert Space H倾向于b（H），例如B（H），而倾向于b（h），而它们则是可比的，而它们不可调整。另外，我们表明，尽管Banach代数的无条件统一是可正常的，但总的来说，Banach代数的无条件校准并不可容纳。此概念用于查找某些Banach代数的特征空间。
In this paper, we introduce the concept of biamenability of Banach algebras and we show that despite the apparent similarities between amenability and biamenability of Banach algebras, they lead to very different, and somewhat opposed, theories. In this regard, we show that commutative Banach algebras such as R and C tend to lack biamenability, while they may be amenable and highly noncommutative Banach algebras such as B(H) for an infinite dimensional Hilbert space H tend to be biamenable, while they are not amenable. Also, we show that although the unconditional unitization of an amenable Banach algebra is amenable but in general unconditional unitization of a Banach algebra is not biamenable. This concept is used for finding the character space of some Banach algebras.
