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Colloquium Mathematicum最新文献

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Variational principle for weighted topological pressure with subadditive potentials 次加性势加权拓扑压力的变分原理
IF 0.4 4区 数学
Colloquium Mathematicum Pub Date : 2023-01-01 DOI: 10.4064/cm8983-4-2023
Jiao Yang, Ercai Chen, Xiaoyao Zhou
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引用次数: 0
A variant of some cyclotomic matrices involving trinomial coefficients 一些包含三项式系数的分环矩阵的变体
4区 数学
Colloquium Mathematicum Pub Date : 2023-01-01 DOI: 10.4064/cm9115-6-2023
Yu-Bo Li, Ning-Liu Wei
{"title":"A variant of some cyclotomic matrices involving trinomial coefficients","authors":"Yu-Bo Li, Ning-Liu Wei","doi":"10.4064/cm9115-6-2023","DOIUrl":"https://doi.org/10.4064/cm9115-6-2023","url":null,"abstract":"By using the theory of circulant matrices we study some matrices over finite fields which involve the quadratic character and trinomial coefficients.","PeriodicalId":49216,"journal":{"name":"Colloquium Mathematicum","volume":null,"pages":null},"PeriodicalIF":0.0,"publicationDate":"2023-01-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"135440779","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":4,"RegionCategory":"数学","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
引用次数: 1
Amenability constants of central Fourier algebras of finite groups 有限群中心傅里叶代数的可调和常数
4区 数学
Colloquium Mathematicum Pub Date : 2023-01-01 DOI: 10.4064/cm9018-9-2023
John Sawatzky
{"title":"Amenability constants of central Fourier algebras of finite groups","authors":"John Sawatzky","doi":"10.4064/cm9018-9-2023","DOIUrl":"https://doi.org/10.4064/cm9018-9-2023","url":null,"abstract":"We consider amenability constants of the central Fourier algebra $ZA(G)$ of a finite group $G$. This is a dual object to $ZL^1(G)$ in the sense of hypergroup algebras, and as such shares similar amenability theory. We provide several classes of groups whe","PeriodicalId":49216,"journal":{"name":"Colloquium Mathematicum","volume":null,"pages":null},"PeriodicalIF":0.0,"publicationDate":"2023-01-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"135446669","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":4,"RegionCategory":"数学","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
引用次数: 0
A factorization of metric spaces 度量空间的分解
4区 数学
Colloquium Mathematicum Pub Date : 2023-01-01 DOI: 10.4064/cm9066-6-2023
Yoshito Ishiki
{"title":"A factorization of metric spaces","authors":"Yoshito Ishiki","doi":"10.4064/cm9066-6-2023","DOIUrl":"https://doi.org/10.4064/cm9066-6-2023","url":null,"abstract":"We first prove that for every metrizable space $X$, for every closed subset $Fhphantom{i}$ whose complement is zero-dimensional, the space $X$ can be embedded as a closed subset into a product of the closed subset $F$ and a metrizable zero-dimensional sp","PeriodicalId":49216,"journal":{"name":"Colloquium Mathematicum","volume":null,"pages":null},"PeriodicalIF":0.0,"publicationDate":"2023-01-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"136202895","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":4,"RegionCategory":"数学","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
引用次数: 0
A new proof of Stanley’s theorem on the strong Lefschetz property 关于强Lefschetz性质的Stanley定理的一个新证明
IF 0.4 4区 数学
Colloquium Mathematicum Pub Date : 2022-11-24 DOI: 10.4064/cm8987-11-2022
Hong Phuong, Quang Hoa Tran
{"title":"A new proof of Stanley’s theorem on the strong Lefschetz property","authors":"Hong Phuong, Quang Hoa Tran","doi":"10.4064/cm8987-11-2022","DOIUrl":"https://doi.org/10.4064/cm8987-11-2022","url":null,"abstract":". A standard graded artinian monomial complete intersection algebra A = k [ x 1 , x 2 , . . . , x n ] / ( x a 1 1 , x a 2 2 , . . . , x a n n ), with k a field of characteristic zero, has the strong Lefschetz property due to Stanley in 1980. In this paper, we give a new proof for this result by using only the basic properties of linear algebra. Furthermore, our proof is still true in the case where the characteristic of k is greater than the socle degree of A , namely a 1 + a 2 + · · · + a n − n .","PeriodicalId":49216,"journal":{"name":"Colloquium Mathematicum","volume":null,"pages":null},"PeriodicalIF":0.4,"publicationDate":"2022-11-24","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"49656153","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":4,"RegionCategory":"数学","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
引用次数: 2
Asymptotic smoothness and universalityin Banach spaces Banach空间的渐近光滑性与普适性
IF 0.4 4区 数学
Colloquium Mathematicum Pub Date : 2022-07-06 DOI: 10.4064/cm8923-12-2022
R. Causey, G. Lancien
{"title":"Asymptotic smoothness and universality\u0000in Banach spaces","authors":"R. Causey, G. Lancien","doi":"10.4064/cm8923-12-2022","DOIUrl":"https://doi.org/10.4064/cm8923-12-2022","url":null,"abstract":"For $1<pleqslant infty$, we study the complexity and the existence of universal spaces for two classes of separable Banach spaces, denoted $textsf{A}_p$ and $textsf{N}_p$, and related to asymptotic smoothness in Banach spaces. We show that each of these classes is Borel in the class of separable Banach spaces. Then we build small families of Banach spaces that are both injectively and surjectively universal for these classes. Finally, we prove the optimality of this universality result, by proving in particular that none of these classes admits a universal space.","PeriodicalId":49216,"journal":{"name":"Colloquium Mathematicum","volume":null,"pages":null},"PeriodicalIF":0.4,"publicationDate":"2022-07-06","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"43811983","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":4,"RegionCategory":"数学","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
引用次数: 0
A friendly iteration forcing that the four cardinal characteristics of $mathcal E$ can be pairwise different 一个友好的迭代，强制$mathcal E$的四个基本特征可以成对不同
IF 0.4 4区 数学
Colloquium Mathematicum Pub Date : 2022-06-29 DOI: 10.4064/cm8917-2-2023
Miguel Alvarado Cardona
{"title":"A friendly iteration forcing that the four cardinal characteristics of $mathcal E$ can be pairwise different","authors":"Miguel Alvarado Cardona","doi":"10.4064/cm8917-2-2023","DOIUrl":"https://doi.org/10.4064/cm8917-2-2023","url":null,"abstract":"Let $mathcal{E}$ be the $sigma$-ideal generated by the closed measure zero sets of reals. We use an ultrafilter-extendable matrix iteration of ccc posets to force that, for $mathcal{E}$, their associated cardinal characteristics (i.e. additivity, covering, uniformity and cofinality) are pairwise different.","PeriodicalId":49216,"journal":{"name":"Colloquium Mathematicum","volume":null,"pages":null},"PeriodicalIF":0.4,"publicationDate":"2022-06-29","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"49258068","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":4,"RegionCategory":"数学","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
引用次数: 3
Norm inequalities for integral operators on cones 锥上积分算子的范数不等式
IF 0.4 4区 数学
Colloquium Mathematicum Pub Date : 2022-06-17 DOI: 10.4064/CM-60-61-1-77-92
M. V. Siadat
{"title":"Norm inequalities for integral operators on cones","authors":"M. V. Siadat","doi":"10.4064/CM-60-61-1-77-92","DOIUrl":"https://doi.org/10.4064/CM-60-61-1-77-92","url":null,"abstract":"In this dissertation we explore the $[L^{mathrm{p}}, L^{q}]$-boundedness of certain integral operators on weighted spaces on cones in ${mathbb R}^{n}.$ These integral operators are of the type $displaystyle int_{V}k(x, y)f(y)dy$ defined on a homogeneous cone $V$. The results of this dissertation are then applied to an important class of operators such as Riemann-Liouville's fractional integral operators, Weyl's fractional integral operators and Laplace's operators. As special cases of the above, we obtain an ${mathbb R}^{n}$ -generalization of the celebrated Hardy's inequality on domains of positivity. We also prove dual results.","PeriodicalId":49216,"journal":{"name":"Colloquium Mathematicum","volume":null,"pages":null},"PeriodicalIF":0.4,"publicationDate":"2022-06-17","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"42346715","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":4,"RegionCategory":"数学","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
引用次数: 3
Non-unital Ore extensions 非单位工作时间延长
IF 0.4 4区 数学
Colloquium Mathematicum Pub Date : 2022-06-10 DOI: 10.4064/cm8941-11-2022
Patrik Lundstrom, Johan Oinert, J. Richter
{"title":"Non-unital Ore extensions","authors":"Patrik Lundstrom, Johan Oinert, J. Richter","doi":"10.4064/cm8941-11-2022","DOIUrl":"https://doi.org/10.4064/cm8941-11-2022","url":null,"abstract":"In this article, we study Ore extensions of non-unital associative rings. We provide a characterization of simple non-unital differential polynomial rings $R[x;delta]$, under the hypothesis that $R$ is $s$-unital and $ker(delta)$ contains a nonzero idempotent. This result generalizes a result by \"Oinert, Richter and Silvestrov from the unital setting. We also present a family of examples of simple non-unital differential polynomial rings.","PeriodicalId":49216,"journal":{"name":"Colloquium Mathematicum","volume":null,"pages":null},"PeriodicalIF":0.4,"publicationDate":"2022-06-10","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"48205391","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":4,"RegionCategory":"数学","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
引用次数: 0
Application of Perron trees togeometric maximal operators Perron树几何极大算子的应用
IF 0.4 4区 数学
Colloquium Mathematicum Pub Date : 2022-04-06 DOI: 10.4064/cm8693-8-2022
A. Gauvan
{"title":"Application of Perron trees to\u0000geometric maximal operators","authors":"A. Gauvan","doi":"10.4064/cm8693-8-2022","DOIUrl":"https://doi.org/10.4064/cm8693-8-2022","url":null,"abstract":"We characterize the L p ( R 2 ) boundeness of the geometric maximal operator M a,b associated to the basis B a,b ( a, b > 0) which is composed of rectangles R whose eccentricity and orientation is of the form ( e R , ω R ) = (cid:18) 1 n a , π 4 n b (cid:19) for some n ∈ N ∗ . The proof involves generalized Perron trees , as constructed in [12].","PeriodicalId":49216,"journal":{"name":"Colloquium Mathematicum","volume":null,"pages":null},"PeriodicalIF":0.4,"publicationDate":"2022-04-06","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"44128492","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":4,"RegionCategory":"数学","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
引用次数: 4
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