中文摘要：

通过一个特殊的代数Banach-代数，定义了一个新的研究对象——Fw-代数，并且给出了FW-代数的6每重要的性质及相关的证明，通过对FW-代数的定义及性质的研究，充分展示了泛函分析在代数学领域中的应用。

英文摘要：

A new researching subject, FW-algebras is defined by a sepical algebra which is Banach-algebra, and six important properties of FW-algebras are given and proved. An application of functional analysis in algebra is displayed from which FW-algebras is defined and its properties are discussed.