代数锥度量空间与度量空间拓扑的一个等价性
On an equivalence of the topology of algebraic cone metric spaces and metric spaces
摘要：
本文证明了代数锥度量诱导的拓扑与通过非线性标量化函数得到的度量诱导的拓扑一致，即任何代数锥度量空间都是可度量化的.此外，还引入了代数锥赋范空间的概念，并证明了该空间的拓扑是可赋范的。
英文摘要：
In this paper, we prove that the topology induced by algebraic cone metric coincides with the topology induced by the metric obtained via a nonlinear scalarization function, i.e. any algebraic cone metric space is metrizable. Furthermore, the notion of algebraic cone normed space is introduced and also normability of the topology of this space is proved.
机构、总结、中文摘要均由AI分析而来，可能存在错误，请以论文正文为准。
