Sahand Communications in Mathematical AnalysisSahand Communications in Mathematical Analysis
http://scma.maragheh.ac.ir/
Sun, 25 Feb 2018 23:04:44 +0100FeedCreatorSahand Communications in Mathematical Analysis
http://scma.maragheh.ac.ir/
Feed provided by Sahand Communications in Mathematical Analysis. Click to visit.Quasicompact and Riesz unital endomorphisms of real Lipschitz algebras of complex-valued functions
http://scma.maragheh.ac.ir/article_24240_4774.html
We first show that a bounded linear operator $ T $ on a real Banach space $ E $ is quasicompact (Riesz, respectively) if and only if $T': E_{mathbb{C}}longrightarrow E_{mathbb{C}}$ is quasicompact (Riesz, respectively), where the complex Banach space $E_{mathbb{C}}$ is a suitable complexification of $E$ and $T'$ is the complex linear operator on $E_{mathbb{C}}$ associated with $T$. Next, we prove that every unital endomorphism of real Lipschitz algebras of complex-valued functions on compact metric spaces with Lipschitz involutions is a composition operator. Finally, we study some properties of quasicompact and Riesz unital endomorphisms of these algebras.Sun, 31 Dec 2017 20:30:00 +0100On an atomic decomposition in Banach spaces
http://scma.maragheh.ac.ir/article_22984_4774.html
An atomic decomposition is considered in Banach space. A method for constructing an atomic decomposition of Banach space, starting with atomic decomposition of subspaces is presented. Some relations between them are established. The proposed method is used in the study of the frame properties of systems of eigenfunctions and associated functions of discontinuous differential operators.Sun, 31 Dec 2017 20:30:00 +0100Density near zero
http://scma.maragheh.ac.ir/article_23682_4774.html
Let $S$ be a dense subsemigroup of $(0,+infty)$. In this paper, we state definition of thick near zero, and also we will introduce a definition that is equivalent to the definition of piecewise syndetic near zero which presented by Hindman and Leader in [6]. We define density near zero for subsets of $S$ by a collection of nonempty finite subsets of $S$ and we investigate the conditions under these concepts.Sun, 31 Dec 2017 20:30:00 +0100On the stability of the Pexiderized cubic functional equation in multi-normed spaces
http://scma.maragheh.ac.ir/article_24755_4774.html
In this paper, we investigate the Hyers-Ulam stability of the orthogonally cubic equation and Pexiderized cubic equation [f(kx+y)+f(kx-y)=g(x+y)+g(x-y)+frac{2}{k}g(kx)-2g(x),]in multi-normed spaces by the direct method and the fixed point method. Moreover, we prove the Hyers-Ulam stability of the $2$-variables cubic equation [ f(2x+y,2z+t)+f(2x-y,2z-t) =2f(x+y,z+t) +2f(x-y,z-t)+12f(x,z),]and orthogonally cubic type and $k$-cubic equation in multi-normed spaces. A counter example for non stability of the cubic equation is also discussed.Sun, 31 Dec 2017 20:30:00 +0100Non-Archimedean fuzzy metric spaces and Best proximity point theorems
http://scma.maragheh.ac.ir/article_24627_4774.html
In this paper, we introduce some new classes of proximal contraction mappings and establish best proximity point theorems for such kinds of mappings in a non-Archimedean fuzzy metric space. As consequences of these results, we deduce certain new best proximity and fixed point theorems in partially ordered non-Archimedean fuzzy metric spaces. Moreover, we present an example to illustrate the usability of the obtained results.Sun, 31 Dec 2017 20:30:00 +0100On the cyclic Homology of multiplier Hopf algebras
http://scma.maragheh.ac.ir/article_23645_4774.html
In this paper, we will study the theory of cyclic homology for regular multiplier Hopf algebras. We associate a cyclic module to a triple $(mathcal{R},mathcal{H},mathcal{X})$ consisting of a regular multiplier Hopf algebra $mathcal{H}$, a left $mathcal{H}$-comodule algebra $mathcal{R}$, and a unital left $mathcal{H}$-module $mathcal{X}$ which is also a unital algebra. First, we construct a paracyclic module to a triple $(mathcal{R},mathcal{H},mathcal{X})$ and then prove the existence of a cyclic structure associated to this triple.Sun, 31 Dec 2017 20:30:00 +0100Frames in super Hilbert modules
http://scma.maragheh.ac.ir/article_23847_4774.html
In this paper, we define super Hilbert module and investigate frames in this space. Super Hilbert modules are generalization of super Hilbert spaces in Hilbert C*-module setting. Also, we define frames in a super Hilbert module and characterize them by using of the concept of g-frames in a Hilbert C*-module. Finally, disjoint frames in Hilbert C*-modules are introduced and investigated.Sun, 31 Dec 2017 20:30:00 +0100A cone theoretic Krein-Milman theorem in semitopological cones
http://scma.maragheh.ac.ir/article_24756_4774.html
In this paper, a Krein-Milman type theorem in $T_0$ semitopological cone is proved, in general. In fact, it is shown that in any locally convex $T_0$ semitopological cone, every convex compact saturated subset is the compact saturated convex hull of its extreme points, which improves the results of Larrecq.Sun, 31 Dec 2017 20:30:00 +0100On $L^*$-proximate order of meromorphic function
http://scma.maragheh.ac.ir/article_23127_0.html
In this paper we introduce the notion of $L^{* }$-proximate order of meromorphic function and prove its existence.Sat, 17 Dec 2016 20:30:00 +0100On some results in the light of generalized relative Ritt order of entire functions represented ...
http://scma.maragheh.ac.ir/article_23647_0.html
In this paper, we study some growth properties of entire functions represented by a vector valued Dirichlet series on the basis of generalized relative Ritt order and generalized relative Ritt lower order.Wed, 11 Jan 2017 20:30:00 +0100Linear Maps preserving invertibility or spectral radius on some $C^{*}$-algebras
http://scma.maragheh.ac.ir/article_23702_0.html
Let $A$ be a unital $C^{*}$-algebra which has a faithful state. If $varphi:Arightarrow A$ is a unital linear map which is bijective and invertibility preserving or surjective and spectral radius preserving, then $varphi$ is a Jordan isomorphism. Also, we discuss other types of linear preserver maps on $A$.Sun, 15 Jan 2017 20:30:00 +0100Similar generalized frames
http://scma.maragheh.ac.ir/article_24628_0.html
Generalized frames are an extension of frames in Hilbert spaces and Hilbert $C^*$-modules. In this paper, the concept ''Similar" for modular $g$-frames is introduced and all of operator duals (ordinary duals) of similar $g$-frames with respect to each other are characterized. Also, an operator dual of a given $g$-frame is studied where $g$-frame is constructed by a primary $g$-frame and an orthogonal projection. Moreover, a $g$-frame is obtained by two the $g$-frames and its operator duals are investigated. Finally, the dilation of $g$-frames is studied.Fri, 03 Mar 2017 20:30:00 +0100Extensions of Saeidi's Propositions for finding a unique solution of a variational inequality ...
http://scma.maragheh.ac.ir/article_25887_0.html
Let $C$ be a nonempty closed convex subset of a real Banach space $E$, let $B : C rightarrow E $ be a nonlinear map, and let $u, v$ be positive numbers. In this paper, we show that the generalized variational inequality $V I (C, B)$ is singleton for $(u, v)$-cocoercive mappings under appropriate assumptions on Banach spaces. The main results are extensions of the Saeidi's Propositions for finding a unique solution of the variational inequality for $(u, v)$-cocoercive mappings in Banach spaces.Sat, 17 Jun 2017 19:30:00 +0100On generalized topological molecular lattices
http://scma.maragheh.ac.ir/article_27148_0.html
In this paper, we introduce the concept of the generalized topological molecular lattices as a generalization of Wang's topological molecular lattices, topological spaces, fuzzy topological spaces, L-fuzzy topological spaces and soft topological spaces. Topological molecular lattices were defined by closed elements, but in this new structure we present the concept of the open elements and define a closed element by the pseudocomplement of an open element. We have two structures on a completely distributive complete lattice, topology and generalized co-topology which are not dual to each other. We study the basic concepts, in particular separation axioms and some relations among them.Sat, 26 Aug 2017 19:30:00 +0100The spectral properties of differential operators with Matrix coefficients on Elliptic systems ...
http://scma.maragheh.ac.ir/article_27152_0.html
Let $$(Lv)(t)=sum^{n} _{i,j=1} (-1)^{j} d_{j} left( s^{2alpha}(t) b_{ij}(t) mu(t) d_{i}v(t)right),$$ be a non-selfadjoint differential operator on the Hilbert space $L_{2}(Omega)$ with Dirichlet-type boundary conditions. In continuing of papers [10-12], let the conditions made on the operator $ L$ be sufficiently more general than [11] and [12] as defined in Section $1$. In this paper, we estimate the resolvent of the operator $L$ on the one-dimensional space $ L_{2}(Omega)$ using some analytic methods.Sun, 27 Aug 2017 19:30:00 +0100Convergence of Integro Quartic and Sextic B-Spline interpolation
http://scma.maragheh.ac.ir/article_27153_0.html
In this paper, quadratic and sextic B-splines are used to construct an approximating function based on the integral values instead of the function values at the knots. This process due to the type of used B-splines (fourth order or sixth order), called integro quadratic or sextic spline interpolation. After introducing the integro quartic and sextic B-spline interpolation, their convergence is discussed. The interpolation errors are studied. Numerical results illustrate the efficiency and effectiveness of the new interpolation method.Sun, 27 Aug 2017 19:30:00 +0100Some properties of reproducing Kernel Banach and Hilbert spaces
http://scma.maragheh.ac.ir/article_27822_0.html
This paper is devoted to the study of reproducing kernel Hilbert spaces. We focus on multipliers of reproducing kernel Banach and Hilbert spaces. In particular, we try to extend this concept and prove some related theorems. Moreover, we focus on reproducing kernels in vector-valued reproducing kernel Hilbert spaces. In particular, we extend reproducing kernels to relative reproducing kernels and prove some theorems in this subject.Tue, 10 Oct 2017 20:30:00 +0100Existence of three solutions for a class of quasilinear elliptic systems involving the ...
http://scma.maragheh.ac.ir/article_27915_0.html
The aim of this paper is to obtain three weak solutions for the Dirichlet quasilinear elliptic systems on a bonded domain. Our technical approach is based on the general three critical points theorem obtained by Ricceri.Sat, 14 Oct 2017 20:30:00 +0100On the integral representations of generalized relative type and generalized relative weak type ...
http://scma.maragheh.ac.ir/article_27953_0.html
In this paper we wish to establish the integral representations of generalized relative type and generalized relative weak type as introduced by Datta et al [9]. We also investigate their equivalence relation under some certain conditions.Sun, 15 Oct 2017 20:30:00 +0100On character space of the algebra of BSE-functions
http://scma.maragheh.ac.ir/article_27982_0.html
Suppose that $A$ is a semi-simple and commutative Banach algebra. In this paper we try to characterize the character space of the Banach algebra $C_{rm{BSE}}(Delta(A))$ consisting of all BSE-functions on $Delta(A)$ where $Delta(A)$ denotes the character space of $A$. Indeed, in the case that $A=C_0(X)$ where $X$ is a non-empty locally compact Hausdroff space, we give a complete characterization of $Delta(C_{rm{BSE}}(Delta(A)))$ and in the general case we give a partial answer. Also, using the Fourier algebra, we show that $C_{rm{BSE}}(Delta(A))$ is not a $C^*$-algebra in general. Finally for some subsets $E$ of $A^*$, we define the subspace of BSE-like functions on $Delta(A)cup E$ and give a nice application of this space related to Goldstine's theorem.Tue, 17 Oct 2017 20:30:00 +0100Fuzzy $e$-regular spaces and strongly $e$-irresolute mappings
http://scma.maragheh.ac.ir/article_28031_0.html
The aim of this paper is to introduce fuzzy ($e$, almost) $e^{*}$-regular spaces in $check{S}$ostak's fuzzy topological spaces. Using the $r$-fuzzy $e$-closed sets, we define $r$-($r$-$theta$-, $r$-$etheta$-) $e$-cluster points and their properties. Moreover, we investigate the relations among $r$-($r$-$theta$-, $r$-$etheta$-) $e$-cluster points, $r$-fuzzy ($e$, almost) $e^{*}$-regular spaces and their functions.Sat, 21 Oct 2017 20:30:00 +0100Somewhat pairwise fuzzy $\alpha$-irresolute continuous mappings
http://scma.maragheh.ac.ir/article_28222_0.html
The concept of somewhat pairwise fuzzy $alpha$-irresolute continuous mappings and somewhat pairwise fuzzy irresolute $alpha$-open mappings have been introduced and studied. Besides, some interesting properties of those mappings are given.Tue, 31 Oct 2017 20:30:00 +0100On Fuzzy $e$-open Sets, Fuzzy $e$-continuity and Fuzzy $e$-compactness in Intuitionistic Fuzzy ...
http://scma.maragheh.ac.ir/article_28223_0.html
The purpose of this paper is to introduce and study the concepts of fuzzy $e$-open set, fuzzy $e$-continuity and fuzzy $e$-compactness in intuitionistic fuzzy topological spaces. After giving the fundamental concepts of intuitionistic fuzzy sets and intuitionistic fuzzy topological spaces, we present intuitionistic fuzzy $e$-open sets and intuitionistic fuzzy $e$-continuity and other results related topological concepts. Several preservation properties and some characterizations concerning intuitionistic fuzzy $e$-compactness have been obtained.Tue, 31 Oct 2017 20:30:00 +0100$L$-Topological Spaces
http://scma.maragheh.ac.ir/article_28387_0.html
‎By substituting the usual notion of open sets in a topological space $X$ with a suitable collection of maps from $X$ to a frame $L$, we introduce the notion of L-topological spaces. Then, we proceed to study the classical notions and properties of usual topological spaces to the newly defined mathematical notion. Our emphasis would be concentrated on the well understood classical connectedness, quotient and compactness notions, where we prove the Thychonoff's theorem and connectedness property for ultra product of $L$-compact and $L$-connected topological spaces, respectively.Fri, 10 Nov 2017 20:30:00 +0100On generators in Archimedean copulas
http://scma.maragheh.ac.ir/article_28401_0.html
This study after reviewing construction methods of generators in Archimedean copulas (AC), proposes several useful lemmas related with generators of AC. Then a new trigonometric Archimedean family will be shown which is based on cotangent function. The generated new family is able to model the low dependence structures.Sat, 11 Nov 2017 20:30:00 +0100Products Of EP Operators On Hilbert C*-Modules
http://scma.maragheh.ac.ir/article_28402_0.html
In this paper, the special attention is given to the product of two modular operators, and when at least one of them is EP, some interesting results is made, so the equivalent conditions are presented that imply the product of operators is EP. Also, some conditions are provided, for which the reverse order law is hold. Furthermore, it is proved that $P(RPQ)$ is idempotent, if $RPQ$† has closed range, for orthogonal projections $P,Q$ and $R$.Sat, 11 Nov 2017 20:30:00 +0100$C^{*}$-semi-inner product spaces
http://scma.maragheh.ac.ir/article_28403_0.html
In this paper, we introduce a generalization of Hilbert $C^*$-modules which are pre-Finsler modules, namely, $C^{*}$-semi-inner product spaces. Some properties and results of such spaces are investigated, specially the orthogonality in these spaces will be considered. We then study bounded linear operators on $C^{*}$-semi-inner product spaces.Sat, 11 Nov 2017 20:30:00 +0100A class of new results in FLM algebras
http://scma.maragheh.ac.ir/article_28459_0.html
In this paper, we first derive some results by using the Gelfand spectrum and spectrum in FLM algebras. Then, the characterizations of multiplicative linear mappings are also discussed in these algebras.Tue, 14 Nov 2017 20:30:00 +0100Some fixed point theorems for $C$-class functions in $b$-metric spaces
http://scma.maragheh.ac.ir/article_28505_0.html
In this paper, via $C$-class functions, as a new class of functions, a fixed theorem in complete $b$-metric spaces is presented. Moreover, we study some results, which are direct consequences of the main results. In addition, as an application, the existence of a solution of an integral equation is given.Sun, 19 Nov 2017 20:30:00 +0100A coupled random fixed point result with application in polish spaces
http://scma.maragheh.ac.ir/article_28506_0.html
In this paper, we present a new concept of random contraction and prove a coupled random fixed point theorem under this condition which generalizes stochastic Banach contraction principle. Finally, we apply our contraction to obtain a solution of random nonlinear integral equations and we present a numerical example.Sun, 19 Nov 2017 20:30:00 +0100On the Taylor sequence spaces of non-absolute type which include the spaces $\ell_p \ (1\leq p
http://scma.maragheh.ac.ir/article_28734_0.html
Let $T(r)$ denotes the Taylor method of order $r$ such that $rin mathbb{C}/ {0}$. Kiric{s}ci cite{k2} defined the Taylor sequence spaces of non-absolute type $t_0^r$ and $t_c^r$ and studied some of their proporties. In this paper, we introduce Taylor sequence spaces $t_p^r (1leq p<infty)$ and $t_infty^r$ consisting of all sequences whose $T(r)-$ transforms are in the spaces $ell_p$ and $ell_infty$, respectively. We investigate some properties and compute alpha-, beta- and gamma-duals of these spaces. Afterwards, we characterize some matrix classes of Taylor sequence spaces $t_p^r (1leq p<infty)$ and $t_infty^r$.Fri, 01 Dec 2017 20:30:00 +0100Some fixed point results on intuitionistic fuzzy metric spaces with a graph
http://scma.maragheh.ac.ir/article_29018_0.html
In 2006, Espinola and Kirk made a useful contribution on combining fixed point theory and graph theory. Recently, Reich and Zaslavski studied a new inexact iterative scheme for fixed points of contractive and nonexpansive multifunctions. In this paper, by using the main idea of their work and the idea of combining fixed point theory on intuitionistic fuzzy metric spaces and graph theory, we present some iterative scheme results for $G$-fuzzy contractive and $G$-fuzzy nonexpansive mappings on graphs.Tue, 19 Dec 2017 20:30:00 +0100Rational Geraghty contractive mappings and fixed point theorems in ordered $b_2$-metric spaces
http://scma.maragheh.ac.ir/article_29263_0.html
In 2014, Zead Mustafa introduced $b_2$-metric spaces, as a generalization of both $2$-metric and $b$-metric spaces. Then new fixed point results for the classes of rational Geraghty contractive mappings of type I,II and III in the setup of $b_2$-metric spaces are investigated. Then, we prove some fixed point theorems under various contractive conditions in partially ordered $b_2$-metric spaces. These include Geraghty-type conditions, conditions that use comparison functions and almost generalized weakly contractive conditions. Berinde in [17-20] initiated the concept of almost contractions and obtained many interesting fixed point theorems. Results with similar conditions were obtained, textit{e.g.}, in [21] and [22]. In the last section of the paper, we define the notion of almost generalized $(psi ,varphi )_{s,a}$-contractive mappings and prove some new results. In particular, we extend Theorems 2.1, 2.2 and 2.3 of Ciric et.al. in [23] to the setting of $b_{2}$-metric spaces. Also, some examples are provided to illustrate the results presented herein and several interesting consequences of our theorems are also provided. The findings of the paper are based on generalization and modification of some recently reported theorems in the literature.Fri, 29 Dec 2017 20:30:00 +0100Observational modeling of the Kolmogorov-Sinai entropy
http://scma.maragheh.ac.ir/article_29983_0.html
In this paper, Kolmogorov-Sinai entropy is studied using mathematical modeling of an observer $ Theta $. The relative entropy of a sub-$ sigma_Theta $-algebra having finite atoms is defined and then the ergodic properties of relative semi-dynamical systems are investigated. Also, a relative version of Kolmogorov-Sinai theorem is given. Finally, it is proved that the relative entropy of a relative $ Theta $-measure preserving transformations with respect to a relative sub-$sigma_Theta$-algebra having finite atoms is affine.Fri, 02 Feb 2018 20:30:00 +0100Common fixed point theory in modified intuitionistic probabilistic metric spaces with common ...
http://scma.maragheh.ac.ir/article_30018_0.html
‎In this paper, we define the concepts of modified mbox{intuitionistic} probabilistic metric spaces, the property (E.A.) and the common property (E.A.) in modified intuitionistic probabilistic metric spaces.Then, by the common property (E.A.), we prove some common fixed point theorems in modified intuitionistic Menger probabilistic metric spaces satisfying an implicit relation.Mon, 05 Feb 2018 20:30:00 +0100On some properties of the max algebra system over tensors
http://scma.maragheh.ac.ir/article_30023_0.html
Recently we generalized the max algebra system to the class of nonnegative tensors. In this paper we give some basic properties for the left (right) inverse, under the new system. The existence of order 2 left (right) inverse of tensors is characterized. Also we generalize the direct product of matrices to the direct product of tensors (of the same order, but may be different dimensions) and investigate its properties relevant to the spectral theory.Mon, 05 Feb 2018 20:30:00 +0100Surjective real-Linear uniform isometries between complex function algebras
http://scma.maragheh.ac.ir/article_30145_0.html
In this paper, we first give a description of a surjective unit-preserving real-linear uniform isometry $ T : A longrightarrow B$, where $ A $ and $ B $ are complex function spaces on compact Hausdorff spaces $ X $ and $ Y $, respectively, whenever ${rm ER}left (A, Xright ) = {rm Ch}left (A, Xright )$ and ${rm ER}left (B, Yright ) = {rm Ch}left (B, Yright )$. Next, we give a description of $ T $ whenever $ A $ and $ B $ are complex function algebras and $ T $ does not assume to be unit-preserving.Fri, 23 Feb 2018 20:30:00 +0100