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Colloquium Mathematicum最新文献

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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
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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":"156 1","pages":"0"},"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":"86 12 1","pages":"0"},"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
Integral pinching characterization of compact shrinking Ricci solitons 紧缩Ricci孤子的积分捏化特性
IF 0.4 4区 数学
Colloquium Mathematicum Pub Date : 2023-01-01 DOI: 10.4064/cm8778-1-2023
Y. Chu, Rui Huang, Jundong Zhou
{"title":"Integral pinching characterization of compact shrinking Ricci solitons","authors":"Y. Chu, Rui Huang, Jundong Zhou","doi":"10.4064/cm8778-1-2023","DOIUrl":"https://doi.org/10.4064/cm8778-1-2023","url":null,"abstract":"","PeriodicalId":49216,"journal":{"name":"Colloquium Mathematicum","volume":"26 1","pages":""},"PeriodicalIF":0.4,"publicationDate":"2023-01-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"70143160","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
On Aupetit’s Scarcity Theorem 关于Aupetit的稀缺性定理
IF 0.4 4区 数学
Colloquium Mathematicum Pub Date : 2023-01-01 DOI: 10.4064/cm8852-8-2022
M. Hassen, R. Brits, F. Schulz
{"title":"On Aupetit’s Scarcity Theorem","authors":"M. Hassen, R. Brits, F. Schulz","doi":"10.4064/cm8852-8-2022","DOIUrl":"https://doi.org/10.4064/cm8852-8-2022","url":null,"abstract":"","PeriodicalId":49216,"journal":{"name":"Colloquium Mathematicum","volume":"1 1","pages":""},"PeriodicalIF":0.4,"publicationDate":"2023-01-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"70143966","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
A Tannaka–Krein extension theorem for topological semigroups 拓扑半群的tanaka - krein扩展定理
IF 0.4 4区 数学
Colloquium Mathematicum Pub Date : 2023-01-01 DOI: 10.4064/cm8968-12-2022
M. Sangani Monfared
{"title":"A Tannaka–Krein extension theorem for topological semigroups","authors":"M. Sangani Monfared","doi":"10.4064/cm8968-12-2022","DOIUrl":"https://doi.org/10.4064/cm8968-12-2022","url":null,"abstract":"","PeriodicalId":49216,"journal":{"name":"Colloquium Mathematicum","volume":"1 1","pages":""},"PeriodicalIF":0.4,"publicationDate":"2023-01-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"70144020","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
Hecke-type double sums and mock theta functions 赫克类型的双和和模拟函数
IF 0.4 4区 数学
Colloquium Mathematicum Pub Date : 2023-01-01 DOI: 10.4064/cm8886-10-2022
Su-Ping Cui, Haixia Du, Nancy S. S. Gu
{"title":"Hecke-type double sums and mock theta functions","authors":"Su-Ping Cui, Haixia Du, Nancy S. S. Gu","doi":"10.4064/cm8886-10-2022","DOIUrl":"https://doi.org/10.4064/cm8886-10-2022","url":null,"abstract":"","PeriodicalId":49216,"journal":{"name":"Colloquium Mathematicum","volume":"1 1","pages":""},"PeriodicalIF":0.4,"publicationDate":"2023-01-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"70144207","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
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
{"title":"Variational principle for weighted topological pressure with subadditive potentials","authors":"Jiao Yang, Ercai Chen, Xiaoyao Zhou","doi":"10.4064/cm8983-4-2023","DOIUrl":"https://doi.org/10.4064/cm8983-4-2023","url":null,"abstract":"","PeriodicalId":49216,"journal":{"name":"Colloquium Mathematicum","volume":"1 1","pages":""},"PeriodicalIF":0.4,"publicationDate":"2023-01-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"70144602","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":" ","pages":""},"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":" ","pages":""},"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
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