论文标题
完全常规的矢量值函数空间之间的异构体
Isometries between completely regular vector-valued function spaces
论文作者
论文摘要
在本文中，首先，我们研究了完全常规子空间$ a $ a $ a $ a $ a $ a $ a $ a $ a $ c_0（x，e）$和$ c_0（y，f）$之间的过滤式异构体（不一定是线性），其中$ x $和$ $是本地紧凑的hausdorff spaces and $ e $和$ e $和$ f $ n n normed normed Space，这是不明显的，不可能convex conve。我们表明，对于满足与其$ t $ sets相关的新定义属性的一类规范空间$ f $，此类均值是（一般性的）加权构图运算符，最多可翻译。 Then we apply the result to study surjective isometries between $A$ and $B$ whenever $A$ and $B$ are equipped with certain norms rather than the supremum norm.我们的结果统一并概括了这种情况下的一些最新结果。
In this paper, first we study surjective isometries (not necessarily linear) between completely regular subspaces $A$ and $B$ of $C_0(X,E)$ and $C_0(Y,F)$ where $X$ and $Y$ are locally compact Hausdorff spaces and $E$ and $F$ are normed spaces, not assumed to be neither strictly convex nor complete. We show that for a class of normed spaces $F$ satisfying a new defined property related to their $T$-sets, such an isometry is a (generalized) weighted composition operator up to a translation. Then we apply the result to study surjective isometries between $A$ and $B$ whenever $A$ and $B$ are equipped with certain norms rather than the supremum norm. Our results unify and generalize some recent results in this context.
