Title of article :
C∗-metric spaces
Author/Authors :
Mowlavi, Mahdi Department of Mathematics - Faculty of Science - Islamic Azad University Science and Research Branch,Tehran , Mirzavaziri, Madjid Department of Pure Mathematics - Ferdowsi University of Mashhad, Mashhad , Mardanbeigi, Mohammadreza Department of Mathematics - Faculty of Science - Islamic Azad University Science and Research Branch,Tehran
Abstract :
The purpose of this article is to introduce the notion of an A-meter, as an operator-valued distance mapping on a set X and investigating the theory of A-metric spaces, where A is a noncommutative C∗-algebra. We demonstrate that each metric space may be seen as an A-metric space and that every A-metric space can be regarded as a topological space
Keywords :
C∗-algebra , C∗-metric space , allowance set , downward/upward directed set , positive elements
Journal title :
International Journal of Nonlinear Analysis and Applications
