{"title":"On the differentiation of random measures with respect to homothecy invariant convex bases","authors":"K. Chubinidze, G. Oniani","doi":"10.4064/cm9028-2-2023","DOIUrl":"https://doi.org/10.4064/cm9028-2-2023","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":"70145130","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}
{"title":"On the closedness of the sum of subspaces\u0000of the space $B(H,Y)$ consisting of operators whose kernels contain given subspaces of $H$","authors":"I. Feshchenko","doi":"10.4064/cm8719-12-2022","DOIUrl":"https://doi.org/10.4064/cm8719-12-2022","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":"70142716","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}
{"title":"Integers of a quadratic field with prescribed sum and product","authors":"A. Bremner, G. Soydan","doi":"10.4064/cm9023-11-2022","DOIUrl":"https://doi.org/10.4064/cm9023-11-2022","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":"70144490","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}
We analyse properties of sets that contain at least one vertex of each square of the plane, in particular we study minimal elements (with respect to the subset relation) of the family $mathcal A$ of sets with this property. We prove that minimal elements
{"title":"On sets intersecting every square of the plane","authors":"Michael Hrušák, Cristina Villanueva-Segovia","doi":"10.4064/cm9159-8-2023","DOIUrl":"https://doi.org/10.4064/cm9159-8-2023","url":null,"abstract":"We analyse properties of sets that contain at least one vertex of each square of the plane, in particular we study minimal elements (with respect to the subset relation) of the family $mathcal A$ of sets with this property. We prove that minimal elements","PeriodicalId":49216,"journal":{"name":"Colloquium Mathematicum","volume":"24 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":"135053876","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}
By using the theory of circulant matrices we study some matrices over finite fields which involve the quadratic character and trinomial coefficients.
利用循环矩阵理论,研究了有限域上涉及二次型和三项式系数的矩阵。
{"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":"80 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":"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}
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
{"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}
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
{"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}