Journal of Linear and Topological Algebra (JLTA)Journal of Linear and Topological Algebra (JLTA)
http://jlta.iauctb.ac.ir/
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Feed provided by Journal of Linear and Topological Algebra (JLTA). Click to visit.*-frames in Hilbert modules over pro-C*-algebras
http://jlta.iauctb.ac.ir/article_546045_116525.html
‎In this paper‎, ‎by using the sequence of multipliers‎, ‎we introduce frames with algebraic bounds in Hilbert pro-$ C^* $-modules‎. ‎We investigate the relations between frames and $ ast $-frames‎. ‎Some properties of $ ast $-frames in Hilbert pro-$ C^* $-modules are studied‎. ‎Also‎, ‎we show that there exist two differences between $ ast $-frames in Hilbert pro-$ C^* $-modules and Hilbert $ C^* $-modules‎. ‎Finally‎, ‎dual $ ast $-frames in Hilbert pro-$ C^* $-modules are presented‎.Thu, 31 Jan 2019 20:30:00 +0100Operator frame for $End_{\mathcal{A}}^{\ast}(\mathcal{H})$
http://jlta.iauctb.ac.ir/article_664913_0.html
‎Frames generalize orthonormal bases and allow representation of all the elements of the space‎. ‎Frames play significant role in signal and image processing‎, ‎which leads to many applications in informatics‎, ‎engineering‎, ‎medicine‎, ‎and probability‎. ‎In this paper‎, ‎we introduce the concepts of operator frame for the space $End_{mathcal{A}}^{ast}(mathcal{H})$ of all adjointable operators on a Hilbert $mathcal{A}$-module $mathcal{H}$ and establish some results‎.Wed, 15 May 2019 19:30:00 +0100Albertson energy and Albertson Estrada index of graphs
http://jlta.iauctb.ac.ir/article_546046_116525.html
‎Let $G$ be a graph of order $n$ with vertices labeled as $v_1‎, ‎v_2,dots‎ , ‎v_n$‎. ‎Let $d_i$ be the degree of the vertex $v_i$ for $i = 1‎, ‎2‎, ‎cdots‎ , ‎n$‎. ‎The Albertson matrix of $G$ is the square matrix of order $n$ whose $(i‎, ‎j)$-entry is equal to $|d_i‎ - ‎d_j|$ if $v_i $ is adjacent to $v_j$ and zero‎, ‎otherwise‎. ‎The main purposes of this paper is to introduce the Albertson energy and Albertson-Estrada index of a graph‎, ‎both base on the eigenvalues of the Albertson matrix‎. ‎Moreover‎, ‎we establish upper and lower bounds for these new graph invariants and relations between them‎‎.Thu, 31 Jan 2019 20:30:00 +0100Generalized hyperstability of the cubic functional equation in ultrametric spaces
http://jlta.iauctb.ac.ir/article_664914_0.html
‎In this paper‎, ‎we present the‎ generalized hyperstability results of cubic functional equation in‎ ‎ultrametric Banach spaces using the fixed point method‎.Wed, 15 May 2019 19:30:00 +0100On some forms of e*-irresoluteness
http://jlta.iauctb.ac.ir/article_546047_116525.html
‎The main goal of this paper is to introduce and study two new class of functions‎, ‎called weakly $e^*$-irresolute functions and strongly $e^*$-irresolute functions‎, ‎via the notion of $e^*$-open set defined by Ekici [7]. ‎We obtain several fundamental properties and characterizations of these functions‎. ‎Moreover‎, ‎we investigate not only some of their basic properties but also their relationships with other types of already existing topological functions‎.Thu, 31 Jan 2019 20:30:00 +0100Irreducibility of the tensor product of Albeverio's representations of the Braid groups $B_3$ ...
http://jlta.iauctb.ac.ir/article_664915_0.html
‎We consider Albeverio's linear representations of the braid groups $B_3$ and $B_4$‎. ‎We specialize the indeterminates used in defining these representations to non zero complex numbers‎. ‎We then consider the tensor products of the representations of $B_3$ and the tensor products of those of $B_4$‎. ‎We then determine necessary and sufficient conditions that guarantee the irreducibility of the tensor products of the representations of $B_3$‎. ‎As for the tensor products of the representations of $B_4$‎, ‎we only find sufficient conditions for the irreducibility of the tensor product‎. Wed, 15 May 2019 19:30:00 +0100System of AQC functional equations in non-Archimedean normed spaces
http://jlta.iauctb.ac.ir/article_546048_116525.html
‎In 1897‎, ‎Hensel introduced a normed space which does‎ ‎not have the Archimedean property‎. ‎During the last three decades‎ ‎theory of non--Archimedean spaces has gained the interest of‎ ‎physicists for their research in particular in problems coming‎ ‎from quantum physics‎, ‎p--adic strings and superstrings‎. ‎In this paper‎, ‎we prove‎ ‎the generalized Hyers--Ulam--Rassias stability for a‎ ‎system of additive‎, ‎quadratic and cubic functional equations in‎ ‎non--Archimedean normed spaces‎.Thu, 31 Jan 2019 20:30:00 +0100An accelerated gradient based iterative algorithm for solving systems of coupled generalized ...
http://jlta.iauctb.ac.ir/article_664921_0.html
‎In this paper‎, ‎an accelerated gradient based iterative algorithm for solving systems of coupled generalized Sylvester-transpose matrix equations is proposed‎. ‎The convergence analysis of the algorithm is investigated‎. ‎We show that the proposed algorithm converges to the exact solution for any initial value under certain assumptions‎. ‎Finally‎, ‎some numerical examples are given to demonstrate the behavior of the proposed method and to support the theoretical results of this paper‎.Thu, 16 May 2019 19:30:00 +0100On a generalization of central Armendariz rings
http://jlta.iauctb.ac.ir/article_546049_116525.html
In this paper, some properties of $alpha$-skew Armendariz and central Armendariz rings have been studied by variety of others. We generalize the notions to central $alpha$-skew Armendariz rings and investigate their properties. Also, we show that if $alpha(e)=e$ for each idempotent $e^{2}=e in R$ and $R$ is $alpha$-skew Armendariz, then $R$ is abelian. Moreover, if $R$ is central $alpha$-skew Armendariz, then $R$ is right p.p-ring if and only if $R[x;alpha]$ is right p.p-ring. Then it is proved that if $alpha^{t}=I_{R}$ for some positive integer $t$, $ R $ is central $ alpha $-skew Armendariz if and only if the polynomial ring $ R[x] $ is central $ alpha $-skew Armendariz if and only if the Laurent polynomial ring $R[x,x^{-1}]$ is central $alpha$-skew Armendariz.‎Thu, 31 Jan 2019 20:30:00 +0100Some topological properties of fuzzy strong b-metric spaces
http://jlta.iauctb.ac.ir/article_664922_0.html
‎In this study‎, ‎we investigate topological properties of fuzzy strong‎ b-metric spaces defined in [13]‎. ‎Firstly‎, ‎we prove Baire's theorem for‎ ‎these spaces‎. ‎Then we define the product of two fuzzy strong b-metric spaces‎ ‎defined with same continuous t-norms and show that $X_{1}times X_{2}$ is a‎ ‎complete fuzzy strong b-metric space if and only if $X_{1}$ and $X_{2}$ are‎ ‎complete fuzzy strong b-metric spaces‎. ‎Finally it is proven that a subspace‎ ‎of a separable fuzzy strong b-metric space is separable‎.Thu, 16 May 2019 19:30:00 +0100On $\beta-$topological vector spaces
http://jlta.iauctb.ac.ir/article_546091_116525.html
We introduce and study a new class of spaces, namely $beta-$topological vector spaces via $beta-$open sets. The relationships among these spaces with some existing spaces are investigated. In addition, some important and useful characterizations of $beta-$topological vector spaces are provided. Thu, 31 Jan 2019 20:30:00 +0100Solving fractional evolution problem in Colombeau algebra by mean generalized fixed point
http://jlta.iauctb.ac.ir/article_546134_116525.html
‎The present paper is devoted to the existence and uniqueness result of the fractional evolution equation $D^{q}_c u(t)=g(t,u(t))=Au(t)+f(t)$‎ ‎for the real $qin (0,1)$ with the initial value $u(0)=u_{0}intilde{R}$‎, ‎where $tilde{R}$ is the set of all generalized real numbers and $A$ is an operator defined from $mathcal G$ into itself‎. Here the Caputo fractional derivative $D^{q}_c$ is used instead of the usual derivative. The introduction of locally convex spaces is to use their topology in order to define generalized semigroups and generalized fixed points, then to show our requested result.Thu, 31 Jan 2019 20:30:00 +0100