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$c^*$-metric spaces
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نویسنده
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mowlavi mahdi ,mirzavaziri madjid ,mardanbeigi mohammadreza
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منبع
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international journal of nonlinear analysis and applications - 2021 - دوره : 12 - شماره : 2 - صفحه:1991 -1996
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چکیده
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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 $(x,tau_{delta})$.
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کلیدواژه
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allowance set ,$c^*$-algebra، $c^*$-metric space، downward/upward directed set، positive elements
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آدرس
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islamic azad university, science and research branch, faculty of science, department of mathematics, iran, ferdowsi university of mashhad, department of pure mathematics, iran, islamic azad university, science and research branch, faculty of science, department of mathematics, iran
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پست الکترونیکی
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mmardanbeigi@yahoo.com
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Authors
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