$C^*$-metric spaces | ||
| International Journal of Nonlinear Analysis and Applications | ||
| دوره 12، شماره 2، بهمن 2021، صفحه 1991-1996 اصل مقاله (377.38 K) | ||
| نوع مقاله: Research Paper | ||
| شناسه دیجیتال (DOI): 10.22075/ijnaa.2020.20839.2205 | ||
| نویسندگان | ||
| Mahdi Mowlavi1؛ Madjid Mirzavaziri* 2؛ Mohammadreza Mardanbeigi3 | ||
| 1Department of Mathematics,Faculty of Science,Science and Research Branch Islamic Azad University,Tehran , Iran. | ||
| 2Department of Pure Mathematics, Ferdowsi University of Mashhad, P.O. Box 1159, Mashhad | ||
| 3Department of Mathematics, Faculty of Science, Science and Research Branch Islamic Azad University, Tehran, Iran | ||
| چکیده | ||
| 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 $(X,\tau_{\delta})$. | ||
| کلیدواژهها | ||
| $C^*$-algebra؛ $C^*$-metric space؛ allowance set؛ downward/upward directed set؛ positive elements | ||
| مراجع | ||
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