@article {
author = {Mowlavi, Mahdi and Mirzavaziri, Madjid and Mardanbeigi, Mohammadreza},
title = {$C^*$-metric spaces},
journal = {International Journal of Nonlinear Analysis and Applications},
volume = {12},
number = {2},
pages = {1991-1996},
year = {2021},
publisher = {Semnan University},
issn = {2008-6822},
eissn = {2008-6822},
doi = {10.22075/ijnaa.2020.20839.2205},
abstract = {The purpose of this article is to introduce the notion of an $\mathfrak{A}$-meter, as an operator-valued distance mapping on a set $X$ and investigating the theory of $\mathfrak{A}$-metric spaces, where $\mathfrak{A}$ is a noncommutative $C^*$-algebra. We demonstrate that each metric space may be seen as an $\mathfrak{A}$-metric space and that every $\mathfrak{A}$-metric space $(X,\delta)$ can be regarded as a topological space $(X,\tau_{\delta})$.},
keywords = {$C^*$-algebra,$C^*$-metric space,allowance set,downward/upward directed set,positive elements},
url = {https://ijnaa.semnan.ac.ir/article_5330.html},
eprint = {https://ijnaa.semnan.ac.ir/article_5330_1ba8b26200a89ba63930f1ea47b3263b.pdf}
}