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Bulletin of the Belgian Mathematical Society-Simon Stevin最新文献

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Equivariant Morita theory for graded tensor categories 梯度张量范畴的等变Morita理论
IF 0.5 4区 数学
Bulletin of the Belgian Mathematical Society-Simon Stevin Pub Date : 2021-06-14 DOI: 10.36045/j.bbms.210720
César Galindo, David Jaklitsch, C. Schweigert
{"title":"Equivariant Morita theory for graded tensor categories","authors":"César Galindo, David Jaklitsch, C. Schweigert","doi":"10.36045/j.bbms.210720","DOIUrl":"https://doi.org/10.36045/j.bbms.210720","url":null,"abstract":"We extend categorical Morita equivalence to finite tensor categories graded by a finite group $G$. We show that two such categories are graded Morita equivalent if and only if their equivariant Drinfeld centers are equivalent as braided $G$-crossed tensor categories.","PeriodicalId":55309,"journal":{"name":"Bulletin of the Belgian Mathematical Society-Simon Stevin","volume":null,"pages":null},"PeriodicalIF":0.5,"publicationDate":"2021-06-14","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"88807848","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
Optimality conditions for robust nonsmooth multiobjective optimization problems in Asplund spaces Asplund空间中鲁棒非光滑多目标优化问题的最优性条件
IF 0.5 4区 数学
Bulletin of the Belgian Mathematical Society-Simon Stevin Pub Date : 2021-05-29 DOI: 10.36045/j.bbms.210705
Maryam Saadati, M. Oveisiha
{"title":"Optimality conditions for robust nonsmooth multiobjective optimization problems in Asplund spaces","authors":"Maryam Saadati, M. Oveisiha","doi":"10.36045/j.bbms.210705","DOIUrl":"https://doi.org/10.36045/j.bbms.210705","url":null,"abstract":"We employ a fuzzy optimality condition for the Fr´echet subdifferential and some ad-vanced techniques of variational analysis such as formulae for the subdifferentials of an infinite family of nonsmooth functions and the coderivative scalarization to investigate robust optimality condition and robust duality for a nonsmooth/nonconvex multiobjective optimization problem dealing with uncertain constraints in arbitrary Asplund spaces. We establish necessary optimality conditions for weakly and properly robust efficient solutions of the problem in terms of the Mordukhovich subdifferentials of the related functions. Further, sufficient conditions for weakly and properly robust efficient solutions as well as for robust efficient solutions of the problem are provided by presenting new concepts of generalized convexity. Finally, we formulate a Mond-Weir-type robust dual problem to the reference problem, and examine weak, strong, and converse duality relations between them under the pseudo convexity assumptions.","PeriodicalId":55309,"journal":{"name":"Bulletin of the Belgian Mathematical Society-Simon Stevin","volume":null,"pages":null},"PeriodicalIF":0.5,"publicationDate":"2021-05-29","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"90635769","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: 5
On the Chow ring of some Lagrangian fibrations 在一些拉格朗日颤振的Chow环上
IF 0.5 4区 数学
Bulletin of the Belgian Mathematical Society-Simon Stevin Pub Date : 2021-05-14 DOI: 10.36045/j.bbms.200318
R. Laterveer
{"title":"On the Chow ring of some Lagrangian fibrations","authors":"R. Laterveer","doi":"10.36045/j.bbms.200318","DOIUrl":"https://doi.org/10.36045/j.bbms.200318","url":null,"abstract":"Let $X$ be a hyperk\"ahler variety admitting a Lagrangian fibration. Beauville's\"splitting property\"conjecture predicts that fibres of the Lagrangian fibration should have a particular behaviour in the Chow ring of $X$. We study this conjectural behaviour for two very classical examples of Lagrangian fibrations.","PeriodicalId":55309,"journal":{"name":"Bulletin of the Belgian Mathematical Society-Simon Stevin","volume":null,"pages":null},"PeriodicalIF":0.5,"publicationDate":"2021-05-14","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"84260149","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 new characterization of certain Dirichlet type spaces with application 一类狄利克雷型空间的新刻划及其应用
IF 0.5 4区 数学
Bulletin of the Belgian Mathematical Society-Simon Stevin Pub Date : 2021-05-01 DOI: 10.36045/J.BBMS.200212
R. Qian, Xiangling Zhu
{"title":"A new characterization of certain Dirichlet type spaces with application","authors":"R. Qian, Xiangling Zhu","doi":"10.36045/J.BBMS.200212","DOIUrl":"https://doi.org/10.36045/J.BBMS.200212","url":null,"abstract":"","PeriodicalId":55309,"journal":{"name":"Bulletin of the Belgian Mathematical Society-Simon Stevin","volume":null,"pages":null},"PeriodicalIF":0.5,"publicationDate":"2021-05-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"72453558","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 note on $kappa$-Fréchet--Urysohn property in function spaces 函数空间中$kappa$- fr<s:1> -Urysohn性质的注记
IF 0.5 4区 数学
Bulletin of the Belgian Mathematical Society-Simon Stevin Pub Date : 2021-05-01 DOI: 10.36045/J.BBMS.200704
V. Tkachuk
{"title":"A note on $kappa$-Fréchet--Urysohn property in function spaces","authors":"V. Tkachuk","doi":"10.36045/J.BBMS.200704","DOIUrl":"https://doi.org/10.36045/J.BBMS.200704","url":null,"abstract":"","PeriodicalId":55309,"journal":{"name":"Bulletin of the Belgian Mathematical Society-Simon Stevin","volume":null,"pages":null},"PeriodicalIF":0.5,"publicationDate":"2021-05-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"74664437","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
Fréchet and (LB) sequence spaces induced by dual Banach spaces of discrete Cesàro spaces 离散Cesàro空间的对偶Banach空间诱导的fr<s:1>和(LB)序列空间
IF 0.5 4区 数学
Bulletin of the Belgian Mathematical Society-Simon Stevin Pub Date : 2021-05-01 DOI: 10.36045/J.BBMS.200203
J. Bonet, W. Ricker
{"title":"Fréchet and (LB) sequence spaces induced by dual Banach spaces of discrete Cesàro spaces","authors":"J. Bonet, W. Ricker","doi":"10.36045/J.BBMS.200203","DOIUrl":"https://doi.org/10.36045/J.BBMS.200203","url":null,"abstract":"The Fréchet (resp., (LB)-) sequence spaces ces(p+) := ⋂ r>p ces(r), 1 ≤ p < ∞ (resp. ces(p-) := ⋃ 1<r<p ces(r), 1 < p ≤ ∞), are known to be very different to the classical sequence spaces lp+ (resp., lp). Both of these classes of non-normable spaces ces(p+), ces(p-) are defined via the family of reflexive Banach sequence spaces ces(p), 1 < p < ∞. The dual Banach spaces d(q), 1 < q < ∞, of the discrete Cesàro spaces ces(p), 1 < p < ∞, were studied by G. Bennett, A. Jagers and others. Our aim is to investigate in detail the corresponding sequence spaces d(p+) and d(p-), which have not been considered before. Some of their properties have similarities with those of ces(p+), ces(p-) but, they also exhibit differences. For instance, ces(p+) is isomorphic to a power series Fréchet space of order 1 whereas d(p+) is isomorphic to such a space of infinite order. Every space ces(p+), ces(p-) admits an absolute basis but, none of the spaces d(p+), d(p-) have any absolute basis.","PeriodicalId":55309,"journal":{"name":"Bulletin of the Belgian Mathematical Society-Simon Stevin","volume":null,"pages":null},"PeriodicalIF":0.5,"publicationDate":"2021-05-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"74750743","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: 5
Jacobi polynomials and some connection formulas in terms of the action of linear differential operators 雅可比多项式及其在线性微分算子作用下的一些联系公式
IF 0.5 4区 数学
Bulletin of the Belgian Mathematical Society-Simon Stevin Pub Date : 2021-05-01 DOI: 10.36045/J.BBMS.200606
B. Aloui, Jihad Souissi
{"title":"Jacobi polynomials and some connection formulas in terms of the action of linear differential operators","authors":"B. Aloui, Jihad Souissi","doi":"10.36045/J.BBMS.200606","DOIUrl":"https://doi.org/10.36045/J.BBMS.200606","url":null,"abstract":"","PeriodicalId":55309,"journal":{"name":"Bulletin of the Belgian Mathematical Society-Simon Stevin","volume":null,"pages":null},"PeriodicalIF":0.5,"publicationDate":"2021-05-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"78300538","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
Binomial Sums with Pell and Lucas Polynomials 具有Pell和Lucas多项式的二项式和
IF 0.5 4区 数学
Bulletin of the Belgian Mathematical Society-Simon Stevin Pub Date : 2021-05-01 DOI: 10.36045/J.BBMS.200525
Dongwei Guo, W. Chu
{"title":"Binomial Sums with Pell and Lucas Polynomials","authors":"Dongwei Guo, W. Chu","doi":"10.36045/J.BBMS.200525","DOIUrl":"https://doi.org/10.36045/J.BBMS.200525","url":null,"abstract":"Binomial sums with Pell and Lucas polynomials as weight functions are explicitly evaluated. Their special cases result in several interesting identities concerning Fibonacci and Lucas numbers. Two of them confirm the summation formulae proposed recently by Ohtsuka and Tauraso (2020).","PeriodicalId":55309,"journal":{"name":"Bulletin of the Belgian Mathematical Society-Simon Stevin","volume":null,"pages":null},"PeriodicalIF":0.5,"publicationDate":"2021-05-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"83724254","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
Boundary value problems with singular $varphi$-Laplacians 奇异$varphi$-拉普拉斯算子的边值问题
IF 0.5 4区 数学
Bulletin of the Belgian Mathematical Society-Simon Stevin Pub Date : 2021-05-01 DOI: 10.36045/J.BBMS.200527
S. Sȩdziwy
{"title":"Boundary value problems with singular $varphi$-Laplacians","authors":"S. Sȩdziwy","doi":"10.36045/J.BBMS.200527","DOIUrl":"https://doi.org/10.36045/J.BBMS.200527","url":null,"abstract":"","PeriodicalId":55309,"journal":{"name":"Bulletin of the Belgian Mathematical Society-Simon Stevin","volume":null,"pages":null},"PeriodicalIF":0.5,"publicationDate":"2021-05-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"72503625","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 the finite dual of a cocommutative Hopf algebroid. Application to linear differential matrix equations and Picard-Vessiot theory. 关于可交换Hopf代数的有限对偶。线性微分矩阵方程及Picard-Vessiot理论的应用。
IF 0.5 4区 数学
Bulletin of the Belgian Mathematical Society-Simon Stevin Pub Date : 2021-05-01 DOI: 10.36045/J.BBMS.200218
L. Kaoutit, J. Gómez-Torrecillas
{"title":"On the finite dual of a cocommutative Hopf algebroid. Application to linear differential matrix equations and Picard-Vessiot theory.","authors":"L. Kaoutit, J. Gómez-Torrecillas","doi":"10.36045/J.BBMS.200218","DOIUrl":"https://doi.org/10.36045/J.BBMS.200218","url":null,"abstract":"","PeriodicalId":55309,"journal":{"name":"Bulletin of the Belgian Mathematical Society-Simon Stevin","volume":null,"pages":null},"PeriodicalIF":0.5,"publicationDate":"2021-05-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"73093217","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: 7
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