In this paper we give three functors $\mathfrak{P}$, $[\cdot]_K$ and $\mathfrak{F}$ on the category of C$^\ast$-algebras. The functor $\mathfrak{P}$ assigns to each C$^\ast$-algebra $\mathcal{A}$ a pre-C$^\ast$-algebra... more
In this paper we give three functors $\mathfrak{P}$, $[\cdot]_K$ and $\mathfrak{F}$ on the category of C$^\ast$-algebras. The functor $\mathfrak{P}$ assigns to each C$^\ast$-algebra $\mathcal{A}$ a pre-C$^\ast$-algebra $\mathfrak{P}(\mathcal{A})$ with completion $[\mathcal{A}]_K$. The functor $[\cdot]_K$ assigns to each C$^\ast$-algebra $\mathcal{A}$ the Cauchy extension $[\mathcal{A}]_K$ of $\mathcal{A}$ by a non-unital C$^\ast$-algebra $\mathfrak{F}(\mathcal{A})$. Some properties of these functors are also given. In particular, we show that the functors $[\cdot]_K$ and $\mathfrak{F}$ are exact and the functor $\mathfrak{P}$ is normal exact.
Research Interests: Mathematics and functor
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Research Interests: Mathematics and Embedding
In this paper, we introduce the probabilistic normed groups. Among other results, we investigate the continuityof inner automorphisms of a group and the continuity of left and right shifts in probabilistic group-norm. We also study... more
In this paper, we introduce the probabilistic normed groups. Among other results, we investigate the continuityof inner automorphisms of a group and the continuity of left and right shifts in probabilistic group-norm. We also study midconvex functions defined on probabilistic normed groups and give some results about locally boundedness of such functions.
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In this paper, we study Banach contractions in uniform spaces endowed with a graph and give some sufficient conditions for a mapping to be a Picard operator. Our main results generalize some results of [J. Jachymski, "The contraction... more
In this paper, we study Banach contractions in uniform spaces endowed with a graph and give some sufficient conditions for a mapping to be a Picard operator. Our main results generalize some results of [J. Jachymski, "The contraction principle for mappings on a metric space with a graph", Proc. Amer. Math. Soc. 136 (2008) 1359-1373] employing the basic entourages of the uniform space.
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In this paper, we investigate the continuity of linear and sublinear correspondences dened on cones in normed spaces. We also generalize some known results for sublinear correspon- dences.
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In this note, we investigate some topological properties of probabilistic modular spaces.
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In this paper, we give three functors P, [·]K and F on the category of C *-algebras. The functor P assigns to each C *-algebra A a pre-C *-algebra P(A) with completion [A]K. The functor [·]K assigns to each C *-algebra A the Cauchy... more
In this paper, we give three functors P, [·]K and F on the category of C *-algebras. The functor P assigns to each C *-algebra A a pre-C *-algebra P(A) with completion [A]K. The functor [·]K assigns to each C *-algebra A the Cauchy extension [A]K of A by a non-unital C *-algebra F(A). Some properties of these functors are also given. In particular, we show that the functors [·]K and F are exact and the functor P is normal exact.
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In this paper we discuss the xed points of asymptotic contractions and Boyd-Wong type contractions in uniform spaces equipped with an E-distance. A new version of Kirk's xed point theorem is given for asymptotic contractions and... more
In this paper we discuss the xed points of asymptotic contractions and Boyd-Wong type contractions in uniform spaces equipped with an E-distance. A new version of Kirk's xed point theorem is given for asymptotic contractions and Boyd-Wong type contractions is investigated in uniform spaces.
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It is proved that every pure state on a C∗-algebra A is an exposed point in the state space of A.
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A theorem of Arazy shows that every extreme point of the unit ball of trace-class operators is strongly exposed. We give this result a simpler and direct proof here.
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... Spain), Carmen Fernández (Universidad de Valencia, Spain), Antonio Galbis (Universidad de Valencia, Spain), Domingo García (Universidad de Valencia, Spain), Maria del Carmen ... Ultrametric Fixed Point Theory by Kourosh Nourouzi KN... more
... Spain), Carmen Fernández (Universidad de Valencia, Spain), Antonio Galbis (Universidad de Valencia, Spain), Domingo García (Universidad de Valencia, Spain), Maria del Carmen ... Ultrametric Fixed Point Theory by Kourosh Nourouzi KN Toosi University of Technology. ...
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ABSTRACT In this paper we study the operators defined between n-modular spaces. In particular, compact operators are studied and then given some applications to fixed points.
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Recently, a generalization of metric space was given in [4] under the name cone metric space in which the range of metric, real numbers, is replaced by an ordered Banach space; in this framework, some results on fixed points of... more
Recently, a generalization of metric space was given in [4] under the name cone metric space in which the range of metric, real numbers, is replaced by an ordered Banach space; in this framework, some results on fixed points of contraction mappings are given. The study of ...
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In this paper, we introduce the probabilistic normed groups. Among other results, we investigate the continuity of inner automorphisms of a group and the continuity of left and right shifts in probabilistic group-norm. We also study... more
In this paper, we introduce the probabilistic normed groups. Among other results, we investigate the continuity of inner automorphisms of a group and the continuity of left and right shifts in probabilistic group-norm. We also study midconvex functions defined on probabilistic normed groups and give some results about locally boundedness of such functions.