Pub Date : 2019-07-01DOI: 10.22130/SCMA.2019.68582.264
Y. Alizadeh, M. R. Abdollahpour
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.
{"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}
Pub Date : 2019-07-01DOI: 10.22130/SCMA.2018.76242.344
S. Barootkoob
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.
{"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}
Pub Date : 2019-07-01DOI: 10.22130/scma.2018.77908.356
M. Mahmoudieh, Hessam Hosseinnezhad, G. Tabadkan
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.
{"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}
{"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}
Pub Date : 2019-04-24DOI: 10.22130/scma.2018.77684.355
Mahdieh Fatemidokht, A. A. Hemmat
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.
{"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}
Pub Date : 2019-04-24DOI: 10.22130/SCMA.2018.73939.308
Zahra Hasanzadeh, A. Mahmoodi
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.
{"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}
Pub Date : 2019-04-01DOI: 10.22130/SCMA.2018.67206.260
Ali Nakhaei Amroudi, A. Shojaeifard, Mojtaba Pirhaji
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.
{"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}
Pub Date : 2019-04-01DOI: 10.22130/SCMA.2018.80849.388
M. Khakshour, G. Aghamollaei
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.
本文研究了正方形复矩阵的伪多项式数值外壳在结构扰动及其半径下的行为。
{"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}
Pub Date : 2019-04-01DOI: 10.22130/SCMA.2018.74393.316
A. Hosseini, A. Fošner
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.
{"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}
Pub Date : 2019-04-01DOI: 10.22130/SCMA.2018.65402.258
H. Nazarkandi
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.
{"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}
京公网安备 11010802042870号
京ICP备2023020795号-1
扫码关注我们
求助内容：
应助结果提醒方式：