论文标题

在Banach Quasi *-ergebras的某些代表性和连续功能的应用中

On some applications of representable and continuous functionals of Banach quasi *-algebras

论文作者

Adamo, Maria Stella

论文摘要

该调查旨在突出显示在Banach Quasi *-ergebras框架中代表(和连续)功能的一些后果。特别是,我们查看 * - 肌化性和完全可表示的涉及可表示函数的概念之间的联系。然后,我们强调了它们在研究Hilbert Quasi *-Algebras的张量产物的 *衍生能力和代表性特性中的重要作用,这是一种特殊的Banach Quasi * - 代数。

This survey aims to highlight some of the consequences that representable (and continuous) functionals have in the framework of Banach quasi *-algebras. In particular, we look at the link between the notions of *-semisimplicity and full representability in which representable functionals are involved. Then, we emphasize their essential role in studying *-derivations and representability properties for the tensor product of Hilbert quasi *-algebras, a special class of Banach quasi *-algebras.

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