论文标题
Hahn-Banach定理针对晶格规范$ f $ - 代数的运营商定理
Hahn-Banach theorem for operators on the lattice normed $f$-algebras
论文作者
论文摘要
令$ x $和$ e $为$ f $ -algebras，$ p：x \ to e _+$是单调矢量规范。然后，三重$（x，p，e）$被称为格子$ f $ f $ - 代数空间。在本文中，我们展示了Hahn-Banach定理在晶格 - 纳入$ f $ - 代数上的扩展的概括，其中一个步骤的扩展与其他Hahn-Banach定理不同。另外，我们提供了一些应用和结果。
Let $X$ and $E$ be $f$-algebras and $p:X \to E_+$ be a monotone vector norm. Then the triple $(X,p,E)$ is called a lattice-normed $f$-algebraic space. In this paper, we show a generalization of the extension of the Hahn-Banach theorem for operators on the lattice-normed $f$-algebras, in which the extension of one step of that is not similar to the other Hahn-Banach theorems. Also, we give some applications and results.
