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Communications in Mathematical Analysis最新文献

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Some Properties of Certain Subclass of Meromorphic Functions Associated with $(p , q)$-derivative 与$（p，q）$导数相关的亚纯函数的某些子类的性质
Communications in Mathematical Analysis Pub Date : 2020-11-01 DOI: 10.22130/SCMA.2020.124021.772
M. Golmohammadi, S. Najafzadeh, M. Foroutan
{"title":"Some Properties of Certain Subclass of Meromorphic Functions Associated with $(p , q)$-derivative","authors":"M. Golmohammadi, S. Najafzadeh, M. Foroutan","doi":"10.22130/SCMA.2020.124021.772","DOIUrl":"https://doi.org/10.22130/SCMA.2020.124021.772","url":null,"abstract":"In this paper, by making use of $(p , q) $-derivative operator we introduce a new subclass of meromorphically univalent functions. Precisely, we give a necessary and sufficient coefficient condition for functions in this class. Coefficient estimates, extreme points, convex linear combination, Radii of starlikeness and convexity and finally partial sum property are investigated.","PeriodicalId":38924,"journal":{"name":"Communications in Mathematical Analysis","volume":"17 1","pages":"71-84"},"PeriodicalIF":0.0,"publicationDate":"2020-11-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"45287711","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
First and Second Module Cohomology Groups for Non Commutative Semigroup Algebras 非交换半群代数的第一和第二模上同调群
Communications in Mathematical Analysis Pub Date : 2020-11-01 DOI: 10.22130/SCMA.2020.119494.733
E. Nasrabadi
{"title":"First and Second Module Cohomology Groups for Non Commutative Semigroup Algebras","authors":"E. Nasrabadi","doi":"10.22130/SCMA.2020.119494.733","DOIUrl":"https://doi.org/10.22130/SCMA.2020.119494.733","url":null,"abstract":"‎Let $S$ be a (not necessarily commutative) Clifford semigroup with idempotent set $E$. In this paper, we show that the first (second) Hochschild cohomology group and the first (second) module cohomology group of  semigroup algbera $ell^1(S)$ with coefficients in $ell^infty(S)$ (and also  $ell^1(S)^{(2n-1)}$ for $nin mathbb{N}$) are equal.","PeriodicalId":38924,"journal":{"name":"Communications in Mathematical Analysis","volume":"17 1","pages":"39-47"},"PeriodicalIF":0.0,"publicationDate":"2020-11-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"47715283","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
Non-Equivalent Norms on $C^b(K)$ 关于$C^b（K）的非等价范数$
Communications in Mathematical Analysis Pub Date : 2020-11-01 DOI: 10.22130/SCMA.2020.121559.748
A. Khoddami
{"title":"Non-Equivalent Norms on $C^b(K)$","authors":"A. Khoddami","doi":"10.22130/SCMA.2020.121559.748","DOIUrl":"https://doi.org/10.22130/SCMA.2020.121559.748","url":null,"abstract":"‎Let $A$ be a non-zero normed vector space and let $K=overline{B_1^{(0)}}$ be the closed unit ball of $A$. Also, let $varphi$ be a non-zero element of $ A^*$ such that $Vert varphi Vertleq 1$. We first define a new norm $Vert cdot Vert_varphi$ on $C^b(K)$, that is a non-complete, non-algebraic norm and also non-equivalent to the norm $Vert cdot Vert_infty$. We next show that for $0neqpsiin A^*$ with $Vert psi Vertleq 1$, the two norms  $Vert cdot Vert_varphi$ and $Vert cdot Vert_psi$ are equivalent if and only if $varphi$ and $psi$ are linearly dependent. Also by applying the norm $Vert cdot Vert_varphi $ and a new product `` $cdot$ '' on $C^b(K)$, we present the normed algebra $ left( C^{bvarphi}(K), Vert cdot Vert_varphi right)$. Finally we  investigate some relations between strongly zero-product preserving maps on $C^b(K)$ and $C^{bvarphi}(K)$.","PeriodicalId":38924,"journal":{"name":"Communications in Mathematical Analysis","volume":"17 1","pages":"1-11"},"PeriodicalIF":0.0,"publicationDate":"2020-11-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"42703911","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
On the Basicity of Systems of Sines and Cosines with a Linear Phase in Morrey-Type Spaces Morrey型空间中具有线性相位的正弦和余弦系统的基性
Communications in Mathematical Analysis Pub Date : 2020-11-01 DOI: 10.22130/SCMA.2020.121797.756
Fidan Seyidova
{"title":"On the Basicity of Systems of Sines and Cosines with a Linear Phase in Morrey-Type Spaces","authors":"Fidan Seyidova","doi":"10.22130/SCMA.2020.121797.756","DOIUrl":"https://doi.org/10.22130/SCMA.2020.121797.756","url":null,"abstract":"In this work systems of sines $sin left(n+beta right)t,, , n=1,2, ldots,$ and cosines $cos left(n-beta right)t,, , n=0,1,2, ldots,$ are considered, where $beta in R-$is a real parameter. The subspace $M^{p,alpha } left(0,pi right)$ of the Morrey space $L^{p,alpha } left(0,pi right)$ in which continuous functions are dense is considered. Criterion   for the completeness, minimality and basicity of these systems with respect to the parameter $beta $  in the subspace  $M^{p,alpha } left(0,pi right)$, $1","PeriodicalId":38924,"journal":{"name":"Communications in Mathematical Analysis","volume":"17 1","pages":"85-93"},"PeriodicalIF":0.0,"publicationDate":"2020-11-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"48468828","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
A Note on Some Results for $C$-controlled $K$-Fusion Frames in Hilbert Spaces Hilbert空间中$C$控制的$K$-融合框架的一些结果注记
Communications in Mathematical Analysis Pub Date : 2020-11-01 DOI: 10.22130/SCMA.2020.123056.766
Habib Shakoory, R. Ahmadi, N. Behzadi, S. Nami
{"title":"A Note on Some Results for $C$-controlled $K$-Fusion Frames in Hilbert Spaces","authors":"Habib Shakoory, R. Ahmadi, N. Behzadi, S. Nami","doi":"10.22130/SCMA.2020.123056.766","DOIUrl":"https://doi.org/10.22130/SCMA.2020.123056.766","url":null,"abstract":"In this manuscript, we study the relation between K-fusion frame and its local components which leads to the definition of a $C$-controlled $K$-fusion frames, also we extend a theory based on K-fusion frames on Hilbert spaces, which prepares exactly the frameworks not only to model new frames on Hilbert spaces but also for deriving robust operators. In particular, we define the analysis, synthesis and frame operator for $C$-controlled $K$-fusion frames, which even yield a reconstruction formula. Also, we define dual of $C$-controlled $K$-fusion frames and study some basic properties and perturbation of them.","PeriodicalId":38924,"journal":{"name":"Communications in Mathematical Analysis","volume":"18 1","pages":"15-34"},"PeriodicalIF":0.0,"publicationDate":"2020-11-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"46429442","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 Spaces of $lambda _{r}$-almost Convergent and $lambda _{r}$-almost Bounded Sequences 关于$lambda_｛r｝$-几乎收敛和$lambda_{r｝$-几乎有界序列的空间
Communications in Mathematical Analysis Pub Date : 2020-07-01 DOI: 10.22130/SCMA.2019.111716.644
Sinan Ercan
{"title":"On the Spaces of $lambda _{r}$-almost Convergent and $lambda _{r}$-almost Bounded Sequences","authors":"Sinan Ercan","doi":"10.22130/SCMA.2019.111716.644","DOIUrl":"https://doi.org/10.22130/SCMA.2019.111716.644","url":null,"abstract":"The aim of the present work is to introduce the concept of $lambda _{r}$-almost convergence of sequences. We define the spaces $fleft( lambda _{r}right) $ and $f_{0}left( lambda _{r}right) $ of $ lambda _{r}$-almost convergent and $lambda _{r}$-almost null sequences. We investigate some inclusion relations concerning those spaces with examples and we determine the $beta $- and $gamma $-duals of the space $fleft( lambda _{r}right) $. Finally, we give the characterization of some matrix classes.","PeriodicalId":38924,"journal":{"name":"Communications in Mathematical Analysis","volume":"17 1","pages":"117-130"},"PeriodicalIF":0.0,"publicationDate":"2020-07-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"49454496","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
Almost Multi-Cubic Mappings and a Fixed Point Application 几乎多立方映射及其不动点的应用
Communications in Mathematical Analysis Pub Date : 2020-07-01 DOI: 10.22130/SCMA.2019.113393.665
Nasrin Ebrahimi Hoseinzadeh, A. Bodaghi, M. Mardanbeigi
{"title":"Almost Multi-Cubic Mappings and a Fixed Point Application","authors":"Nasrin Ebrahimi Hoseinzadeh, A. Bodaghi, M. Mardanbeigi","doi":"10.22130/SCMA.2019.113393.665","DOIUrl":"https://doi.org/10.22130/SCMA.2019.113393.665","url":null,"abstract":"The aim of this paper is to introduce $n$-variables mappings which are cubic in each variable and to apply a fixed point theorem for the Hyers-Ulam stability of such mapping in non-Archimedean normed spaces. Moreover, a few corollaries corresponding to some known stability and hyperstability outcomes are presented.","PeriodicalId":38924,"journal":{"name":"Communications in Mathematical Analysis","volume":"17 1","pages":"131-143"},"PeriodicalIF":0.0,"publicationDate":"2020-07-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"41860452","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: 7
$n$-factorization Property of Bilinear Mappings 双线性映射的$n$分解性质
Communications in Mathematical Analysis Pub Date : 2020-07-01 DOI: 10.22130/SCMA.2019.116000.696
S. Barootkoob
{"title":"$n$-factorization Property of Bilinear Mappings","authors":"S. Barootkoob","doi":"10.22130/SCMA.2019.116000.696","DOIUrl":"https://doi.org/10.22130/SCMA.2019.116000.696","url":null,"abstract":"In this paper, we define a new concept of factorization for a bounded bilinear mapping $f:Xtimes Yto Z$, depended on  a natural number $n$ and a cardinal number $kappa$; which is called $n$-factorization property of level $kappa$. Then we study the relation between $n$-factorization property of  level $kappa$ for $X^*$ with respect to $f$ and automatically boundedness and $w^*$-$w^*$-continuity and also strong Arens irregularity. These results may help us to prove some previous  problems related to strong Arens irregularity more easier than old. These include some results proved by Neufang in ~cite{neu1} and ~cite{neu}.  Some applications to certain bilinear mappings on convolution algebras, on a locally compact group, are also included. Finally, some solutions related to  the Ghahramani-Lau conjecture is raised.","PeriodicalId":38924,"journal":{"name":"Communications in Mathematical Analysis","volume":"17 1","pages":"161-173"},"PeriodicalIF":0.0,"publicationDate":"2020-07-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"43504069","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 fixed point results for hemicontractive-type multi-valued mapping, finite families of split equilibrium and variational inequality problems 关于半压缩型多值映射、分裂平衡的有限族和变分不等式问题的不动点结果
Communications in Mathematical Analysis Pub Date : 2020-07-01 DOI: 10.22130/SCMA.2019.99206.533
Tesfalem Hadush Meche, H. Zegeye
{"title":"On fixed point results for hemicontractive-type multi-valued mapping, finite families of split equilibrium and variational inequality problems","authors":"Tesfalem Hadush Meche, H. Zegeye","doi":"10.22130/SCMA.2019.99206.533","DOIUrl":"https://doi.org/10.22130/SCMA.2019.99206.533","url":null,"abstract":"In this article, we introduced an iterative scheme for finding a common element of the set of fixed points of a multi-valued hemicontractive-type mapping, the set of common solutions of a finite family of split equilibrium problems and the set of common solutions of a finite family of variational inequality problems in real Hilbert spaces. Moreover, the sequence generated by the proposed algorithm is proved to be strongly convergent to a common solution of these three problems under mild conditions on parameters. Our results improve and generalize many well-known recent results existing in the literature in this field of research.","PeriodicalId":38924,"journal":{"name":"Communications in Mathematical Analysis","volume":"17 1","pages":"189-217"},"PeriodicalIF":0.0,"publicationDate":"2020-07-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"45564178","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
Uniform Convergence to a Left Invariance on Weakly Compact Subsets 弱紧致子集上左不变量的一致收敛性
Communications in Mathematical Analysis Pub Date : 2020-07-01 DOI: 10.22130/SCMA.2019.100548.540
A. Ghaffari, S. Javadi, Ebrahim Tamimi
{"title":"Uniform Convergence to a Left Invariance on Weakly Compact Subsets","authors":"A. Ghaffari, S. Javadi, Ebrahim Tamimi","doi":"10.22130/SCMA.2019.100548.540","DOIUrl":"https://doi.org/10.22130/SCMA.2019.100548.540","url":null,"abstract":"Let  $left{a_alpharight}_{alphain I}$ be a bounded net in a Banach algebra $A$ and $varphi$ a nonzero multiplicative linear functional on $A$. In this paper, we deal with the problem of when $|aa_alpha-varphi(a)a_alpha|to0$ uniformly for all $a$ in weakly compact subsets of $A$. We show that Banach algebras associated to locally compact groups such  as Segal algebras and $L^1$-algebras are responsive to this concept. It is also shown that $Wap(A)$ has a left invariant $varphi$-mean if and only if there exists a bounded net $left{a_alpharight}_{alphain I}$ in $left{ain A; varphi(a)=1right}$ such that $|aa_alpha-varphi(a)a_alpha|_{Wap(A)}to0$ uniformly for all $a$ in weakly compact subsets of $A$. Other results in this direction are also obtained.","PeriodicalId":38924,"journal":{"name":"Communications in Mathematical Analysis","volume":"17 1","pages":"81-91"},"PeriodicalIF":0.0,"publicationDate":"2020-07-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"45379912","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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