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Communications in Mathematical Analysis最新文献

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Controlled Continuous $G$-Frames and Their Multipliers in Hilbert Spaces Hilbert空间中的受控连续$G$-帧及其乘子
Communications in Mathematical Analysis Pub Date : 2019-07-01 DOI: 10.22130/SCMA.2019.68582.264
Y. Alizadeh, M. R. Abdollahpour
{"title":"Controlled Continuous $G$-Frames and Their Multipliers in Hilbert Spaces","authors":"Y. Alizadeh, M. R. Abdollahpour","doi":"10.22130/SCMA.2019.68582.264","DOIUrl":"https://doi.org/10.22130/SCMA.2019.68582.264","url":null,"abstract":"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.","PeriodicalId":38924,"journal":{"name":"Communications in Mathematical Analysis","volume":null,"pages":null},"PeriodicalIF":0.0,"publicationDate":"2019-07-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"47486910","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":0,"RegionCategory":"","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
引用次数: 4
Topological Centers and Factorization of Certain Module Actions 某些模块动作的拓扑中心和分解
Communications in Mathematical Analysis Pub Date : 2019-07-01 DOI: 10.22130/SCMA.2018.76242.344
S. Barootkoob
{"title":"Topological Centers and Factorization of Certain Module Actions","authors":"S. Barootkoob","doi":"10.22130/SCMA.2018.76242.344","DOIUrl":"https://doi.org/10.22130/SCMA.2018.76242.344","url":null,"abstract":"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.","PeriodicalId":38924,"journal":{"name":"Communications in Mathematical Analysis","volume":null,"pages":null},"PeriodicalIF":0.0,"publicationDate":"2019-07-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"47077865","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":0,"RegionCategory":"","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
引用次数: 2
Multi-Frame Vectors for Unitary Systems in Hilbert $C^{*}$-modules Hilbert$C^{*}$模中酉系统的多帧向量
Communications in Mathematical Analysis Pub Date : 2019-07-01 DOI: 10.22130/scma.2018.77908.356
M. Mahmoudieh, Hessam Hosseinnezhad, G. Tabadkan
{"title":"Multi-Frame Vectors for Unitary Systems in Hilbert $C^{*}$-modules","authors":"M. Mahmoudieh, Hessam Hosseinnezhad, G. Tabadkan","doi":"10.22130/scma.2018.77908.356","DOIUrl":"https://doi.org/10.22130/scma.2018.77908.356","url":null,"abstract":"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.","PeriodicalId":38924,"journal":{"name":"Communications in Mathematical Analysis","volume":null,"pages":null},"PeriodicalIF":0.0,"publicationDate":"2019-07-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"44608486","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":0,"RegionCategory":"","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
引用次数: 0
Theory of Hybrid Fractional Differential Equations with Complex Order 复阶混合分数阶微分方程理论
Communications in Mathematical Analysis Pub Date : 2019-07-01 DOI: 10.22130/SCMA.2018.72907.295
D. Vivek, O. Baghani, K. Kanagarajan
{"title":"Theory of Hybrid Fractional Differential Equations with Complex Order","authors":"D. Vivek, O. Baghani, K. Kanagarajan","doi":"10.22130/SCMA.2018.72907.295","DOIUrl":"https://doi.org/10.22130/SCMA.2018.72907.295","url":null,"abstract":"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.","PeriodicalId":38924,"journal":{"name":"Communications in Mathematical Analysis","volume":null,"pages":null},"PeriodicalIF":0.0,"publicationDate":"2019-07-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"43030608","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":0,"RegionCategory":"","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
引用次数: 5
$p$-adic Dual Shearlet Frames $p$adic双剪框
Communications in Mathematical Analysis Pub Date : 2019-04-24 DOI: 10.22130/scma.2018.77684.355
Mahdieh Fatemidokht, A. A. Hemmat
{"title":"$p$-adic Dual Shearlet Frames","authors":"Mahdieh Fatemidokht, A. A. Hemmat","doi":"10.22130/scma.2018.77684.355","DOIUrl":"https://doi.org/10.22130/scma.2018.77684.355","url":null,"abstract":"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 Gp 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 ( Qp ) . The discrete p-adic shearlet frames for L ( Qp ) is discussed. Also we prove that the frame operator S associated with the group Gp of all with the shearlet frame SH (ψ; Λ) is a Fourier multiplier with a function in terms of ψ̂. For a measurable subset H ⊂ Qp, we considered a subspace L (H) of L ( Qp ) . Finally we give a necessary condition for two functions in L ( Qp ) to generate a p-adic dual shearlet tight frame via admissibility.","PeriodicalId":38924,"journal":{"name":"Communications in Mathematical Analysis","volume":null,"pages":null},"PeriodicalIF":0.0,"publicationDate":"2019-04-24","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"48551763","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":0,"RegionCategory":"","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
引用次数: 10
$sigma$-Connes Amenability and Pseudo-(Connes) Amenability of Beurling Algebras Beurling代数的$sigma$-锥适性和伪(锥)适性
Communications in Mathematical Analysis Pub Date : 2019-04-24 DOI: 10.22130/SCMA.2018.73939.308
Zahra Hasanzadeh, A. Mahmoodi
{"title":"$sigma$-Connes Amenability and Pseudo-(Connes) Amenability of Beurling Algebras","authors":"Zahra Hasanzadeh, A. Mahmoodi","doi":"10.22130/SCMA.2018.73939.308","DOIUrl":"https://doi.org/10.22130/SCMA.2018.73939.308","url":null,"abstract":"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.","PeriodicalId":38924,"journal":{"name":"Communications in Mathematical Analysis","volume":null,"pages":null},"PeriodicalIF":0.0,"publicationDate":"2019-04-24","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"42966189","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":0,"RegionCategory":"","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
引用次数: 1
A Full-NT Step Infeasible Interior-Point Algorithm for Mixed Symmetric Cone LCPs 混合对称锥lcp的全nt步不可行内点算法
Communications in Mathematical Analysis Pub Date : 2019-04-01 DOI: 10.22130/SCMA.2018.67206.260
Ali Nakhaei Amroudi, A. Shojaeifard, Mojtaba Pirhaji
{"title":"A Full-NT Step Infeasible Interior-Point Algorithm for Mixed Symmetric Cone LCPs","authors":"Ali Nakhaei Amroudi, A. Shojaeifard, Mojtaba Pirhaji","doi":"10.22130/SCMA.2018.67206.260","DOIUrl":"https://doi.org/10.22130/SCMA.2018.67206.260","url":null,"abstract":"An infeasible interior-point algorithm for mixed symmetric cone linear complementarity problems is proposed. Using the machinery of Euclidean Jordan algebras and Nesterov-Todd search direction, the convergence analysis of the algorithm is shown and proved. Moreover, we obtain a polynomial time complexity bound which matches the currently best known iteration bound for infeasible interior-point methods.","PeriodicalId":38924,"journal":{"name":"Communications in Mathematical Analysis","volume":null,"pages":null},"PeriodicalIF":0.0,"publicationDate":"2019-04-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"42300145","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":0,"RegionCategory":"","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
引用次数: 0
Some Results on Polynomial Numerical Hulls of Perturbed Matrices 摄动矩阵的多项式数值壳的一些结果
Communications in Mathematical Analysis Pub Date : 2019-04-01 DOI: 10.22130/SCMA.2018.80849.388
M. Khakshour, G. Aghamollaei
{"title":"Some Results on Polynomial Numerical Hulls of Perturbed Matrices","authors":"M. Khakshour, G. Aghamollaei","doi":"10.22130/SCMA.2018.80849.388","DOIUrl":"https://doi.org/10.22130/SCMA.2018.80849.388","url":null,"abstract":"In this paper, the behavior of the pseudopolynomial numerical hull of a square complex matrix with respect to structured perturbations and its radius is investigated.","PeriodicalId":38924,"journal":{"name":"Communications in Mathematical Analysis","volume":null,"pages":null},"PeriodicalIF":0.0,"publicationDate":"2019-04-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"45056776","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":0,"RegionCategory":"","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
引用次数: 0
On the Structure of Metric-like Spaces 论类度量空间的结构
Communications in Mathematical Analysis Pub Date : 2019-04-01 DOI: 10.22130/SCMA.2018.74393.316
A. Hosseini, A. Fošner
{"title":"On the Structure of Metric-like Spaces","authors":"A. Hosseini, A. Fošner","doi":"10.22130/SCMA.2018.74393.316","DOIUrl":"https://doi.org/10.22130/SCMA.2018.74393.316","url":null,"abstract":"The main purpose of this paper is to introduce several concepts of the metric-like spaces. For instance, we define concepts such as equal-like points, cluster points and completely separate points. Furthermore, this paper is an attempt to present compatibility definitions for the distance between a point and a subset of a metric-like space and also for the distance between two subsets of a metric-like space. In this study, we define the diameter of a subset of a metric-like space, and then we provide a definition for bounded subsets of a metric-like space. In line with the aforementioned issues, various examples are provided to better understand this space.","PeriodicalId":38924,"journal":{"name":"Communications in Mathematical Analysis","volume":null,"pages":null},"PeriodicalIF":0.0,"publicationDate":"2019-04-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"42482443","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":0,"RegionCategory":"","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
引用次数: 1
Fuzzy Best Simultaneous Approximation of a Finite Numbers of Functions 有限个函数的模糊最佳同时逼近
Communications in Mathematical Analysis Pub Date : 2019-04-01 DOI: 10.22130/SCMA.2018.65402.258
H. Nazarkandi
{"title":"Fuzzy Best Simultaneous Approximation of a Finite Numbers of Functions","authors":"H. Nazarkandi","doi":"10.22130/SCMA.2018.65402.258","DOIUrl":"https://doi.org/10.22130/SCMA.2018.65402.258","url":null,"abstract":"Fuzzy best simultaneous approximation of a finite number of functions is considered. For this purpose, a fuzzy norm on $Cleft (X, Y right )$ and its fuzzy dual space and also the  set of subgradients of a fuzzy norm are introduced. Necessary case of a proved theorem about characterization of simultaneous approximation will be extended to the fuzzy case.","PeriodicalId":38924,"journal":{"name":"Communications in Mathematical Analysis","volume":null,"pages":null},"PeriodicalIF":0.0,"publicationDate":"2019-04-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"41842039","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":0,"RegionCategory":"","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
引用次数: 0
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