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Communications of the Korean Mathematical Society最新文献

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On multi subspace-hypercyclic operators 关于多子空间-超循环算子
IF 0.6
Communications of the Korean Mathematical Society Pub Date : 2020-01-01 DOI: 10.4134/CKMS.C200118
M. Moosapoor
{"title":"On multi subspace-hypercyclic operators","authors":"M. Moosapoor","doi":"10.4134/CKMS.C200118","DOIUrl":"https://doi.org/10.4134/CKMS.C200118","url":null,"abstract":"In this paper, we introduce and investigate multi subspacehypercyclic operators and prove that multi-hypercyclic operators are multi subspace-hypercyclic. We show that if T is M -hypercyclic or multi M -hypercyclic, then Tn is multi M -hypercyclic for any natural number n and by using this result, make some examples of multi subspacehypercyclic operators. We prove that multi M -hypercyclic operators have somewhere dense orbits in M . We show that analytic Toeplitz operators can not be multi subspace-hypercyclic. Also, we state a sufficient condition for coanalytic Toeplitz operators to be multi subspace-hypercyclic.","PeriodicalId":45637,"journal":{"name":"Communications of the Korean Mathematical Society","volume":null,"pages":null},"PeriodicalIF":0.6,"publicationDate":"2020-01-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"70438297","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
CONJUGACY INVARIANTS OF QUATERNION MATRICES 四元数矩阵的共轭不变量
IF 0.6
Communications of the Korean Mathematical Society Pub Date : 2020-01-01 DOI: 10.4134/CKMS.C200089
Joonhyun Kim, Qianghua Luo
{"title":"CONJUGACY INVARIANTS OF QUATERNION MATRICES","authors":"Joonhyun Kim, Qianghua Luo","doi":"10.4134/CKMS.C200089","DOIUrl":"https://doi.org/10.4134/CKMS.C200089","url":null,"abstract":"","PeriodicalId":45637,"journal":{"name":"Communications of the Korean Mathematical Society","volume":null,"pages":null},"PeriodicalIF":0.6,"publicationDate":"2020-01-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"70438498","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
AN EXTENSION OF ANNIHILATING-IDEAL GRAPH OF COMMUTATIVE RINGS 交换环的湮灭理想图的推广
IF 0.6
Communications of the Korean Mathematical Society Pub Date : 2020-01-01 DOI: 10.4134/CKMS.C200006
Mahtab Koohi Kerahroodi, Fatemeh Nabaei
{"title":"AN EXTENSION OF ANNIHILATING-IDEAL GRAPH OF COMMUTATIVE RINGS","authors":"Mahtab Koohi Kerahroodi, Fatemeh Nabaei","doi":"10.4134/CKMS.C200006","DOIUrl":"https://doi.org/10.4134/CKMS.C200006","url":null,"abstract":"Let R be a commutative ring with unity. The extension of annihilating-ideal graph of R, AG(R), is the graph whose vertices are nonzero annihilating ideals of R and two distinct vertices I and J are adjacent if and only if there exist n,m ∈ N such that InJm = (0) with In, Jm 6= (0). First, we differentiate when AG(R) and AG(R) coincide. Then, we have characterized the diameter and the girth of AG(R) when R is a finite direct products of rings. Moreover, we show that AG(R) contains a cycle, if AG(R) 6= AG(R).","PeriodicalId":45637,"journal":{"name":"Communications of the Korean Mathematical Society","volume":null,"pages":null},"PeriodicalIF":0.6,"publicationDate":"2020-01-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"70438120","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 MULTIPLIER WEIGHTED-SPACE OF SEQUENCES 序列的乘法器加权空间
IF 0.6
Communications of the Korean Mathematical Society Pub Date : 2020-01-01 DOI: 10.4134/CKMS.C200040
L. Bouchikhi, A. Kinani
{"title":"ON MULTIPLIER WEIGHTED-SPACE OF SEQUENCES","authors":"L. Bouchikhi, A. Kinani","doi":"10.4134/CKMS.C200040","DOIUrl":"https://doi.org/10.4134/CKMS.C200040","url":null,"abstract":"We consider the weighted spaces `p(S, φ) and `p(S, ψ) for 1 < p < +∞, where φ and ψ are weights on S (= N or Z). We obtain a sufficient condition for `p(S, ψ) to be multiplier weighted-space of `p(S, φ) and `p(S, ψ). Our condition characterizes the last multiplier weightedspace in the case where S = Z. As a consequence, in the particular case where ψ = φ, the weighted space `p(Z,ψ) is a convolutive algebra. 1. Preliminaries and introduction Let S (S = N or S = Z) and p ∈ ]1,+∞[. We say that ω is a weight on S if ω : S −→ [1,+∞[, is a map satisfying: ∑ n∈S ω(n) 1 1−p < +∞. We consider the weighted space: `(S, ω) = { (a(n))n∈S ∈ C S : ∑ n∈S |a(n)| ω(n) < +∞ } . Endowed with the norm |·|p,ω defined by: |a|p,ω = (∑ n∈S |a(n)| ω(n) ) 1 p for every (a(n))n∈S ∈ ` (S, ω), the space `(S,ω) becomes a Banach subspace of ` (S). We say that the weight ω is m-convolutive if a positive constant γ = γ(ω) exists such that: ω 1 1−p ∗ ω 1 1−p ≤ γ ω 1 1−p , where ∗ denotes the convolution product. If a= (a(n))n∈S ∈ `(S, ω), we define the complex function F(a) by F(a)(t) = ∑ n∈S a(n)e for every t ∈ R. Received February 6, 2020; Revised April 8, 2020; Accepted July 2, 2020. 2010 Mathematics Subject Classification. 46J10, 46H30.","PeriodicalId":45637,"journal":{"name":"Communications of the Korean Mathematical Society","volume":null,"pages":null},"PeriodicalIF":0.6,"publicationDate":"2020-01-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"70438489","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
PSEUDO-HERMITIAN 2-TYPE LEGENDRE SURFACES IN THE UNIT SPHERE S 5 单位球面上的伪厄米特2型勒让德曲面
IF 0.6
Communications of the Korean Mathematical Society Pub Date : 2020-01-01 DOI: 10.4134/CKMS.C180530
Ji-Eun Lee
{"title":"PSEUDO-HERMITIAN 2-TYPE LEGENDRE SURFACES IN THE UNIT SPHERE S 5","authors":"Ji-Eun Lee","doi":"10.4134/CKMS.C180530","DOIUrl":"https://doi.org/10.4134/CKMS.C180530","url":null,"abstract":"","PeriodicalId":45637,"journal":{"name":"Communications of the Korean Mathematical Society","volume":null,"pages":null},"PeriodicalIF":0.6,"publicationDate":"2020-01-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"70436440","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
L K -BIHARMONIC HYPERSURFACES IN SPACE FORMS WITH THREE DISTINCT PRINCIPAL CURVATURES 具有三个不同主曲率的空间形式的L - k双调和超曲面
IF 0.6
Communications of the Korean Mathematical Society Pub Date : 2020-01-01 DOI: 10.4134/CKMS.C200056
M. Aminian
{"title":"L K -BIHARMONIC HYPERSURFACES IN SPACE FORMS WITH THREE DISTINCT PRINCIPAL CURVATURES","authors":"M. Aminian","doi":"10.4134/CKMS.C200056","DOIUrl":"https://doi.org/10.4134/CKMS.C200056","url":null,"abstract":"In this paper we consider Lk-conjecture introduced in [5, 6] for hypersurface Mn in space form Rn+1(c) with three principal curvatures. When c = 0,−1, we show that every L1-biharmonic hypersurface with three principal curvatures and H1 is constant, has H2 = 0 and at least one of the multiplicities of principal curvatures is one, where H1 and H2 are first and second mean curvature of M and we show that there is not L2-biharmonic hypersurface with three disjoint principal curvatures and, H1 and H2 is constant. For c = 1, by considering having three principal curvatures, we classify L1-biharmonic hypersurfaces with multiplicities greater than one, H1 is constant and H2 = 0, proper L1-biharmonic hypersurfaces which H1 is constant, and L2-biharmonic hypersurfaces which H1 and H2 is constant.","PeriodicalId":45637,"journal":{"name":"Communications of the Korean Mathematical Society","volume":null,"pages":null},"PeriodicalIF":0.6,"publicationDate":"2020-01-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"70438654","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 SOME WEIGHTED HARDY-TYPE INEQUALITIES INVOLVING EXTENDED RIEMANN-LIOUVILLE FRACTIONAL CALCULUS OPERATORS 涉及扩展riemann-liouville分数阶算子的一些加权hardy型不等式
IF 0.6
Communications of the Korean Mathematical Society Pub Date : 2020-01-01 DOI: 10.4134/CKMS.C180458
S. Iqbal, J. Pečarić, M. Samraiz, Hassan Tehmeena, Z. Tomovski
{"title":"ON SOME WEIGHTED HARDY-TYPE INEQUALITIES INVOLVING EXTENDED RIEMANN-LIOUVILLE FRACTIONAL CALCULUS OPERATORS","authors":"S. Iqbal, J. Pečarić, M. Samraiz, Hassan Tehmeena, Z. Tomovski","doi":"10.4134/CKMS.C180458","DOIUrl":"https://doi.org/10.4134/CKMS.C180458","url":null,"abstract":"","PeriodicalId":45637,"journal":{"name":"Communications of the Korean Mathematical Society","volume":null,"pages":null},"PeriodicalIF":0.6,"publicationDate":"2020-01-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"70436447","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
SHECHTER SPECTRA AND RELATIVELY DEMICOMPACT LINEAR RELATIONS 谢克特谱与相对半紧线性关系
IF 0.6
Communications of the Korean Mathematical Society Pub Date : 2020-01-01 DOI: 10.4134/CKMS.C190021
A. Ammar, S. Fakhfakh, A. Jeribi
{"title":"SHECHTER SPECTRA AND RELATIVELY DEMICOMPACT LINEAR RELATIONS","authors":"A. Ammar, S. Fakhfakh, A. Jeribi","doi":"10.4134/CKMS.C190021","DOIUrl":"https://doi.org/10.4134/CKMS.C190021","url":null,"abstract":"","PeriodicalId":45637,"journal":{"name":"Communications of the Korean Mathematical Society","volume":null,"pages":null},"PeriodicalIF":0.6,"publicationDate":"2020-01-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"70436569","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
IDEALIZATION OF EM-HERMITE RINGS em-hermite环的理想化
IF 0.6
Communications of the Korean Mathematical Society Pub Date : 2020-01-01 DOI: 10.4134/CKMS.C180477
Hiba Abdelkarim, Emad Abuosba, Manal Ghanem
{"title":"IDEALIZATION OF EM-HERMITE RINGS","authors":"Hiba Abdelkarim, Emad Abuosba, Manal Ghanem","doi":"10.4134/CKMS.C180477","DOIUrl":"https://doi.org/10.4134/CKMS.C180477","url":null,"abstract":"","PeriodicalId":45637,"journal":{"name":"Communications of the Korean Mathematical Society","volume":null,"pages":null},"PeriodicalIF":0.6,"publicationDate":"2020-01-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"70436686","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 GENERALIZED JORDAN DERIVATIONS OF GENERALIZED MATRIX ALGEBRAS 关于广义矩阵代数的广义约当导
IF 0.6
Communications of the Korean Mathematical Society Pub Date : 2020-01-01 DOI: 10.4134/CKMS.C190362
M. Ashraf, A. Jabeen
{"title":"ON GENERALIZED JORDAN DERIVATIONS OF GENERALIZED MATRIX ALGEBRAS","authors":"M. Ashraf, A. Jabeen","doi":"10.4134/CKMS.C190362","DOIUrl":"https://doi.org/10.4134/CKMS.C190362","url":null,"abstract":"Let R be a commutative ring with unity, A and B be Ralgebras, M be a (A,B)-bimodule and N be a (B,A)-bimodule. The Ralgebra S = S(A,M,N,B) is a generalized matrix algebra defined by the Morita context (A,B,M,N, ξMN,ΩNM). In this article, we study generalized derivation and generalized Jordan derivation on generalized matrix algebras and prove that every generalized Jordan derivation can be written as the sum of a generalized derivation and antiderivation with some limitations. Also, we show that every generalized Jordan derivation is a generalized derivation on trivial generalized matrix algebra over a field.","PeriodicalId":45637,"journal":{"name":"Communications of the Korean Mathematical Society","volume":null,"pages":null},"PeriodicalIF":0.6,"publicationDate":"2020-01-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"70437782","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
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