Sahand Communications in Mathematical AnalysisSahand Communications in Mathematical Analysis
http://scma.maragheh.ac.ir/
Mon, 19 Aug 2019 14:50:13 +0100FeedCreatorSahand Communications in Mathematical Analysis
http://scma.maragheh.ac.ir/
Feed provided by Sahand Communications in Mathematical Analysis. Click to visit.Multi-Frame Vectors for Unitary Systems in Hilbert $C^{*}$-modules
http://scma.maragheh.ac.ir/article_34968_5733.html
In this paper, we focus on the structured multi-frame vectors in Hilbert $C^*$-modules. More precisely, it will be shown that the set of all complete multi-frame vectors for a unitary system can be parameterized by the set of all surjective operators, in the local commutant. Similar results hold for the set of all complete wandering vectors and complete multi-Riesz vectors, when the surjective operator is replaced by unitary and invertible operators, respectively. Moreover, we show that new multi-frames (resp. multi-Riesz bases) can be obtained as linear combinations of known ones using coefficients which are operators in a certain class.Sun, 30 Jun 2019 19:30:00 +0100A Generalization of the Meir-Keeler Condensing Operators and its Application to Solvability of ...
http://scma.maragheh.ac.ir/article_34954_5733.html
In this paper, we generalize the Meir-Keeler condensing operators via a concept of the class of operators $ O (f;.)$, that was given by Altun and Turkoglu [4], and apply this extension to obtain some tripled fixed point theorems. As an application of this extension, we analyze the existence of solution for a system of nonlinear functional integral equations of Volterra type. Finally, we present an example to show the effectiveness of our results. We use the technique of measure of noncompactness to obtain our results.Sun, 30 Jun 2019 19:30:00 +0100Controlled Continuous $G$-Frames and Their Multipliers in Hilbert Spaces
http://scma.maragheh.ac.ir/article_34963_5733.html
In this paper, we introduce $(mathcal{C},mathcal{C}')$-controlled continuous $g$-Bessel families and their multipliers in Hilbert spaces and investigate some of their properties. We show that under some conditions sum of two $(mathcal{C},mathcal{C}')$-controlled continuous $g$-frames is a $(mathcal{C},mathcal{C}')$-controlled continuous $g$-frame. Also, we investigate when a $(mathcal{C},mathcal{C}')$-controlled continuous $g$-Bessel multiplier is a p-Schatten class operator.Sun, 30 Jun 2019 19:30:00 +0100Application of Convolution of Daubechies Wavelet in Solving 3D Microscale DPL Problem
http://scma.maragheh.ac.ir/article_34964_5733.html
In this work, the triple convolution of Daubechies wavelet is used to solve the three dimensional (3D) microscale Dual Phase Lag (DPL) problem. Also, numerical solution of 3D time-dependent initial-boundary value problems of a microscopic heat equation is presented. To generate a 3D wavelet we used the triple convolution of a one dimensional wavelet. Using convolution we get a scaling function and a sevenfold 3D wavelet and all of our computations are based on this new set to approximate in 3D spatial. Moreover, approximation in time domain is based on finite difference method. By substitution in the 3D DPL model, the differential equation converts to a linear system of equations and related system is solved directly. We use the Lax-Richtmyer theorem to investigate the consistency, stability and convergence analysis of our method. Numerical results are presented and compared with the analytical solution to show the efficiency of the method.Sun, 30 Jun 2019 19:30:00 +0100$p$-adic Dual Shearlet Frames
http://scma.maragheh.ac.ir/article_34965_0.html
We introduced the continuous and discrete $p$-adic shearlet systems. We restrict ourselves to a brief description of the $p$-adic theory and shearlets in real case. Using the group $G_p$ consist of all $p$-adic numbers that all of its elements have a square root, we defined the continuous $p$-adic shearlet system associated with $L^2left(Q_p^{2}right)$. The discrete $p$-adic shearlet frames for $L^2left(Q_p^{2}right)$ is discussed. Also we prove that the frame operator $S$ associated with the group $G_p$ of all with the shearlet frame $SHleft( psi; Lambdaright)$ is a Fourier multiplier with a function in terms of $widehat{psi}$. For a measurable subset $H subset Q_p^{2}$, we considered a subspace $L^2left(Hright)^{vee}$ of $L^2left(Q_p^{2}right)$. Finally we give a necessary condition for two functions in $L^2left(Q_p^{2}right)$ to generate a p-adic dual shearlet tight frame via admissibility.Tue, 23 Apr 2019 19:30:00 +0100Theory of Hybrid Fractional Differential Equations with Complex Order
http://scma.maragheh.ac.ir/article_34967_5733.html
We develop the theory of hybrid fractional differential equations with the complex order $thetain mathbb{C}$, $theta=m+ialpha$, $0<mleq 1$, $alphain mathbb{R}$, in Caputo sense. Using Dhage's type fixed point theorem for the product of abstract nonlinear operators in Banach algebra; one of the operators is $mathfrak{D}$- Lipschitzian and the other one is completely continuous, we prove the existence of mild solutions of initial value problems for hybrid fractional differential equations. Finally, an application to solve one-variable linear fractional Schr"odinger equation with complex order is given.Sun, 30 Jun 2019 19:30:00 +0100Coefficient Bounds for Analytic bi-Bazilevi\v{c} Functions Related to Shell-like Curves ...
http://scma.maragheh.ac.ir/article_36054_0.html
In this paper, we define and investigate a new class of bi-Bazilevic functions related to shell-like curves connected with Fibonacci numbers. Furthermore, we find estimates of first two coefficients of functions belonging to this class. Also, we give the Fekete-Szegoinequality for this function class.Mon, 29 Jul 2019 19:30:00 +0100$\sigma$-Connes Amenability and Pseudo-(Connes) Amenability of Beurling Algebras
http://scma.maragheh.ac.ir/article_34969_5733.html
In this paper, pseudo-amenability and pseudo-Connes amenability of weighted semigroup algebra $ell^1(S,omega)$ are studied. It is proved that pseudo-Connes amenability and pseudo-amenability of weighted group algebra $ell^1(G,omega)$ are the same. Examples are given to show that the class of $sigma$-Connes amenable dual Banach algebras is larger than that of Connes amenable dual Banach algebras.Sun, 30 Jun 2019 19:30:00 +0100Simple Construction of a Frame which is $\epsilon$-nearly Parseval and $\epsilon$-nearly Unit Norm
http://scma.maragheh.ac.ir/article_36056_0.html
In this paper, we will provide a simple method for starting with a given finite frame for an $n$-dimensional Hilbert space $mathcal{H}_n$ with nonzero elements and producing a frame which is $epsilon$-nearly Parseval and $epsilon$-nearly unit norm. Also, the concept of the $epsilon$-nearly equal frame operators for two given frames is presented. Moreover, we characterize all bounded invertible operators $T$ on the finite or infinite dimensional Hilbert space $mathcal{H}$ such that $left{f_kright}_{k=1}^infty$ and $left{Tf_kright}_{k=1}^infty$ are $epsilon$-nearly equal frame operators, where $left{f_kright}_{k=1}^infty$ is a frame for $mathcal{H}$. Finally, we introduce and characterize all operator dual Parseval frames of a given Parseval frame.Mon, 29 Jul 2019 19:30:00 +0100Convergence of an Iterative Scheme for Multifunctions on Fuzzy Metric Spaces
http://scma.maragheh.ac.ir/article_35070_5733.html
Recently, Reich and Zaslavski have studied a new inexact iterative scheme for fixed points of contractive and nonexpansive multifunctions. In 2011, Aleomraninejad, et. al. generalized some of their results to Suzuki-type multifunctions. The study of iterative schemes for various classes of contractive and nonexpansive mappings is a central topic in fixed point theory. The importance of Banach contraction principle is that it also gives the convergence of an iterative scheme to a unique fixed point. In this paper, we consider $(X, M, *)$ to be fuzzy metric spaces in Park's sense and we show our results for fixed points of contractive and nonexpansive multifunctions on Hausdorff fuzzy metric space.Sun, 30 Jun 2019 19:30:00 +0100Coefficient Estimates for Some Subclasses of Analytic and Bi-Univalent Functions Associated ...
http://scma.maragheh.ac.ir/article_36057_0.html
The main objective of this investigation is to introduce certain new subclasses of the class $Sigma $ of bi-univalent functions by using concept of conic domain. Furthermore, we find non-sharp estimates on the first two Taylor-Maclaurin coefficients $ left vert a_{2}right vert $ and $left vert a_{3}right vert $ for functions in these new subclasses. We consider various corollaries and consequences of our main results. We also point out relevant connections to some of the earlier known developments.Mon, 29 Jul 2019 19:30:00 +0100Bounded Approximate Character Amenability of Banach Algebras
http://scma.maragheh.ac.ir/article_35435_5733.html
The bounded approximate version of $varphi$-amenability and character amenability are introduced and studied. These new notions are characterized in several different ways, and some hereditary properties of them are established. The general theory for these concepts is also developed. Moreover, some examples are given to show that these notions are different from the others. Finally, bounded approximate character amenability of some Banach algebras related to locally compact groups are investigated.Sun, 30 Jun 2019 19:30:00 +0100$L_{p;r} $ spaces: Cauchy Singular Integral, Hardy Classes and Riemann-Hilbert Problem in this ...
http://scma.maragheh.ac.ir/article_36058_0.html
In the present work the space $L_{p;r} $ which is continuously embedded into $L_{p} $ is introduced. The corresponding Hardy spaces of analytic functions are defined as well. Some properties of the functions from these spaces are studied. The analogs of some results in the classical theory of Hardy spaces are proved for the new spaces. It is shown that the Cauchy singular integral operator is bounded in $L_{p;r} $. The problem of basisness of the system $left{Aleft(tright)e^{{mathop{rm int}} }; Bleft(tright)e^{-{mathop{rm int}} } right}_{nin Z_{+} }, $ is also considered. It is shown that under an additional condition this system forms a basis in $L_{p;r} $ if and only if the Riemann-Hilbert problem has a unique solution in corresponding Hardy class ${ H}_{p;r}^{+} times { H}_{p;r}^{+} $.Mon, 29 Jul 2019 19:30:00 +0100Generalized Weighted Composition Operators From Logarithmic Bloch Type Spaces to $ n $'th ...
http://scma.maragheh.ac.ir/article_35724_5733.html
Let $ mathcal{H}(mathbb{D}) $ denote the space of analytic functions on the open unit disc $mathbb{D}$. For a weight $mu$ and a nonnegative integer $n$, the $n$'th weighted type space $ mathcal{W}_mu ^{(n)} $ is the space of all $fin mathcal{H}(mathbb{D}) $ such that $sup_{zin mathbb{D}}mu(z)left|f^{(n)}(z)right|<infty.$ Endowed with the norm begin{align*}left|f right|_{mathcal{W}_mu ^{(n)}}=sum_{j=0}^{n-1}left|f^{(j)}(0)right|+sup_{zin mathbb{D}}mu(z)left|f^{(n)}(z)right|,end{align*}the $n$'th weighted type space is a Banach space. In this paper, we characterize the boundedness of generalized weighted composition operators $mathcal{D}_{varphi ,u}^m$ from logarithmic Bloch type spaces $mathcal{B}_{{{log }^beta }}^alpha $ to $n$'th weighted type spaces $ mathcal{W}_mu ^{(n)} $, where $u$ and $varphi$ are analytic functions on $mathbb{D}$ and $varphi(mathbb{D})subseteqmathbb{D}$. We also provide an estimation for the essential norm of these operators.Sun, 30 Jun 2019 19:30:00 +0100Generalized $F$-contractions in Partially Ordered Metric Spaces
http://scma.maragheh.ac.ir/article_36059_0.html
We discuss about the generalized $F$-contraction mappings in partially ordered metric spaces. For this, we first introduce the notion of ordered weakly $F$-contraction mapping. We also present some fixed point results about this type of mapping in partially ordered metric spaces. Next, we introduce the notion of $acute{mathrm{C}}$iri$acute{mathrm{c}}$ type generalized ordered weakly $F$-contraction mapping. We also prove some fixed point results about this notion in partially ordered metric spaces. We also provide an example to support our results. In fact, this example shows that our main theorem is a genuine generalization in the area of the generalized $F$-contraction mappings in partially ordered metric spaces.Mon, 29 Jul 2019 19:30:00 +0100Approximate Duals of $g$-frames and Fusion Frames in Hilbert $C^\ast-$modules
http://scma.maragheh.ac.ir/article_35726_5733.html
In this paper, we study approximate duals of $g$-frames and fusion frames in Hilbert $C^ast-$modules. We get some relations between approximate duals of $g$-frames and biorthogonal Bessel sequences, and using these relations, some results for approximate duals of modular Riesz bases and fusion frames are obtained. Moreover, we generalize the concept of $Q-$approximate duality of $g$-frames and fusion frames to Hilbert $C^ast-$modules, where $Q$ is an adjointable operator, and obtain some properties of this kind of approximate duals.Sun, 30 Jun 2019 19:30:00 +0100Primitive Ideal Space of Ultragraph $C^*$-algebras
http://scma.maragheh.ac.ir/article_35729_5733.html
In this paper, we describe the primitive ideal space of the $C^*$-algebra $C^*(mathcal G)$ associated to the ultragraph $mathcal{G}$. We investigate the structure of the closed ideals of the quotient ultragraph $ C^* $-algebra $C^*left(mathcal G/(H,S)right)$ which contain no nonzero set projections and then we characterize all non gauge-invariant primitive ideals. Our results generalize the Hong and Szyma$ acute{ mathrm { n } } $ski's description of the primitive ideal space of a graph $ C ^ * $-algebra by a simpler method.Sun, 30 Jun 2019 19:30:00 +0100Proximity Point Properties for Admitting Center Maps
http://scma.maragheh.ac.ir/article_35727_5733.html
In this work we investigate a class of admitting center maps on a metric space. We state and prove some fixed point and best proximity point theorems for them. We obtain some results and relevant examples. In particular, we show that if $X$ is a reflexive Banach space with the Opial condition and $T:Crightarrow X$ is a continuous admiting center map, then $T$ has a fixed point in $X.$ Also, we show that in some conditions, the set of all best proximity points is nonempty and compact.Sun, 30 Jun 2019 19:30:00 +0100Some Properties of Continuous $K$-frames in Hilbert Spaces
http://scma.maragheh.ac.ir/article_35964_5733.html
The theory of continuous frames in Hilbert spaces is extended, by using the concepts of measure spaces, in order to get the results of a new application of operator theory. The $K$-frames were introduced by G$breve{mbox{a}}$vruta (2012) for Hilbert spaces to study atomic systems with respect to a bounded linear operator. Due to the structure of $K$-frames, there are many differences between $K$-frames and standard frames. $K$-frames, which are a generalization of frames, allow us in a stable way, to reconstruct elements from the range of a bounded linear operator in a Hilbert space. In this paper, we get some new results on the continuous $K$-frames or briefly c$K$-frames, namely some operators preserving and some identities for c$K$-frames. Also, the stability of these frames are discussed.Sun, 30 Jun 2019 19:30:00 +0100A Proposed Preference Index For Ranking Fuzzy Numbers Based On $\alpha$-Optimistic Values
http://scma.maragheh.ac.ir/article_35734_5733.html
In this paper, we propose a novel method for ranking a set of fuzzy numbers. In this method a preference index is proposed based on $alpha$-optimistic values of a fuzzy number. We propose a new ranking method by adopting a level of credit in the ordering procedure. Then, we investigate some desirable properties of the proposed ranking method.Sun, 30 Jun 2019 19:30:00 +0100Topological Centers and Factorization of Certain Module Actions
http://scma.maragheh.ac.ir/article_35723_5733.html
Let $A$ be a Banach algebra and $X$ be a Banach $A$-bimodule with the left and right module actions $pi_ell: Atimes Xrightarrow X$ and $pi_r: Xtimes Arightarrow X$, respectively. In this paper, we study the topological centers of the left module action $pi_{ell_n}: Atimes X^{(n)}rightarrow X^{(n)}$ and the right module action $pi_{r_n}:X^{(n)}times Arightarrow X^{(n)}$, which inherit from the module actions $pi_ell$ and $pi_r$, and also the topological centers of their adjoints, from the factorization property point of view, and then, we investigate conditions under which these bilinear maps are Arens regular or strongly Arens irregular.Sun, 30 Jun 2019 19:30:00 +0100