发布求助
文献互助 智能选刊 最新文献

Bulletin of Mathematical Sciences最新文献

筛选
英文 中文
Ziegler partial morphisms in additive exact categories 加性精确范畴中的Ziegler偏态射
IF 1.2 2区 数学
Bulletin of Mathematical Sciences Pub Date : 2020-03-09 DOI: 10.1142/s1664360720500125
Manuel Cortés-Izurdiaga, P. A. G. Asensio, Berke Kalebog̃az, A. K. Srivastava
{"title":"Ziegler partial morphisms in additive exact categories","authors":"Manuel Cortés-Izurdiaga, P. A. G. Asensio, Berke Kalebog̃az, A. K. Srivastava","doi":"10.1142/s1664360720500125","DOIUrl":"https://doi.org/10.1142/s1664360720500125","url":null,"abstract":"We develop a general theory of partial morphisms in additive exact categories which extends the model theoretic notion introduced by Ziegler in the particular case of pure-exact sequences in the category of modules over a ring. We relate partial morphisms with (co-)phantom morphisms and injective approximations and study the existence of such approximations in these exact categories.","PeriodicalId":9348,"journal":{"name":"Bulletin of Mathematical Sciences","volume":"40 1","pages":""},"PeriodicalIF":1.2,"publicationDate":"2020-03-09","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"75461590","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":2,"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
Relaxation methods for optimal control problems 最优控制问题的松弛方法
IF 1.2 2区 数学
Bulletin of Mathematical Sciences Pub Date : 2020-02-25 DOI: 10.1142/S1664360720500046
N. Papageorgiou, Vicentiu D. Rădulescu, Dušan D. Repovš
{"title":"Relaxation methods for optimal control problems","authors":"N. Papageorgiou, Vicentiu D. Rădulescu, Dušan D. Repovš","doi":"10.1142/S1664360720500046","DOIUrl":"https://doi.org/10.1142/S1664360720500046","url":null,"abstract":"We consider a nonlinear optimal control problem with dynamics described by a differential inclusion involving a maximal monotone map [Formula: see text]. We do not assume that [Formula: see text], incorporating in this way systems with unilateral constraints in our framework. We present two relaxation methods. The first one is an outgrowth of the reduction method from the existence theory, while the second method uses Young measures. We show that the two relaxation methods are equivalent and admissible.","PeriodicalId":9348,"journal":{"name":"Bulletin of Mathematical Sciences","volume":"6 1","pages":""},"PeriodicalIF":1.2,"publicationDate":"2020-02-25","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"80235813","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":2,"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: 8
The genus of the subgroup graph of a finite group 有限群的子群图的属
IF 1.2 2区 数学
Bulletin of Mathematical Sciences Pub Date : 2020-01-31 DOI: 10.1142/s1664360720500101
A. Lucchini
{"title":"The genus of the subgroup graph of a finite group","authors":"A. Lucchini","doi":"10.1142/s1664360720500101","DOIUrl":"https://doi.org/10.1142/s1664360720500101","url":null,"abstract":"For a finite group [Formula: see text] denote by [Formula: see text] the genus of the subgroup graph of [Formula: see text] We prove that [Formula: see text] tends to infinity as either the rank of [Formula: see text] or the number of prime divisors of [Formula: see text] tends to infinity.","PeriodicalId":9348,"journal":{"name":"Bulletin of Mathematical Sciences","volume":"87 1","pages":""},"PeriodicalIF":1.2,"publicationDate":"2020-01-31","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"91354083","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":2,"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
Primary decompositions of unital locally matrix algebras 一元局部矩阵代数的初等分解
IF 1.2 2区 数学
Bulletin of Mathematical Sciences Pub Date : 2019-11-25 DOI: 10.1142/s166436072050006x
O. Bezushchak, B. Oliynyk
{"title":"Primary decompositions of unital locally matrix algebras","authors":"O. Bezushchak, B. Oliynyk","doi":"10.1142/s166436072050006x","DOIUrl":"https://doi.org/10.1142/s166436072050006x","url":null,"abstract":"We construct a unital locally matrix algebra of uncountable dimension that (1) does not admit a primary decomposition, (2) has an infinite locally finite Steinitz number. It gives negative answers to questions from [V. M. Kurochkin, On the theory of locally simple and locally normal algebras, Mat. Sb., Nov. Ser. 22(64)(3) (1948) 443–454; O. Bezushchak and B. Oliynyk, Unital locally matrix algebras and Steinitz numbers, J. Algebra Appl. (2020), online ready]. We also show that for an arbitrary infinite Steinitz number [Formula: see text] there exists a unital locally matrix algebra [Formula: see text] having the Steinitz number [Formula: see text] and not isomorphic to a tensor product of finite-dimensional matrix algebras.","PeriodicalId":9348,"journal":{"name":"Bulletin of Mathematical Sciences","volume":"30 1","pages":""},"PeriodicalIF":1.2,"publicationDate":"2019-11-25","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"79030251","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":2,"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: 12
Compact groups with countable Engel sinks 具有可数恩格尔汇的紧群
IF 1.2 2区 数学
Bulletin of Mathematical Sciences Pub Date : 2019-08-30 DOI: 10.1142/s1664360720500150
Evgeny Khukhro, P. Shumyatsky
{"title":"Compact groups with countable Engel sinks","authors":"Evgeny Khukhro, P. Shumyatsky","doi":"10.1142/s1664360720500150","DOIUrl":"https://doi.org/10.1142/s1664360720500150","url":null,"abstract":"An Engel sink of an element [Formula: see text] of a group [Formula: see text] is a set [Formula: see text] such that for every [Formula: see text] all sufficiently long commutators [Formula: see text] belong to [Formula: see text]. (Thus, [Formula: see text] is an Engel element precisely when we can choose [Formula: see text].) It is proved that if every element of a compact (Hausdorff) group [Formula: see text] has a countable (or finite) Engel sink, then [Formula: see text] has a finite normal subgroup [Formula: see text] such that [Formula: see text] is locally nilpotent. This settles a question suggested by J. S. Wilson.","PeriodicalId":9348,"journal":{"name":"Bulletin of Mathematical Sciences","volume":"6 1","pages":""},"PeriodicalIF":1.2,"publicationDate":"2019-08-30","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"84155811","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":2,"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: 11
Bishop-Phelps-Bollobás property for positive operators when the domain is L∞ Bishop-Phelps-Bollobás当域为L∞时正算子的性质
IF 1.2 2区 数学
Bulletin of Mathematical Sciences Pub Date : 2019-07-19 DOI: 10.1142/S166436072050023X
M. Acosta, M. Soleimani-Mourchehkhorti
{"title":"Bishop-Phelps-Bollobás property for positive operators when the domain is L∞","authors":"M. Acosta, M. Soleimani-Mourchehkhorti","doi":"10.1142/S166436072050023X","DOIUrl":"https://doi.org/10.1142/S166436072050023X","url":null,"abstract":"We prove that the class of positive operators from [Formula: see text] to [Formula: see text] has the Bishop-Phelps-Bollobás property for any positive measure [Formula: see text], whenever [Formula: see text] is a uniformly monotone Banach lattice with a weak unit. The same result also holds for the pair [Formula: see text] for any uniformly monotone Banach lattice [Formula: see text] Further we show that these results are optimal in case that [Formula: see text] is strictly monotone.","PeriodicalId":9348,"journal":{"name":"Bulletin of Mathematical Sciences","volume":"1 1","pages":""},"PeriodicalIF":1.2,"publicationDate":"2019-07-19","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"87127824","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":2,"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
(Lr,Ls) Resolvent estimate for the sphere off the line 1 r −1 s = 2 n (Lr,Ls) 1 r−1 s = 2 n线外球面的解析估计
IF 1.2 2区 数学
Bulletin of Mathematical Sciences Pub Date : 2019-05-12 DOI: 10.1142/S1664360719500036
Tianyi Ren
{"title":"(Lr,Ls) Resolvent estimate for the sphere off the line 1 r −1 s = 2 n","authors":"Tianyi Ren","doi":"10.1142/S1664360719500036","DOIUrl":"https://doi.org/10.1142/S1664360719500036","url":null,"abstract":"We extend the resolvent estimate on the sphere to exponents off the line [Formula: see text]. Since the condition [Formula: see text] on the exponents is necessary for a uniform bound, one cannot expect estimates off this line to be uniform still. The essential ingredient in our proof is an [Formula: see text] norm estimate on the operator [Formula: see text] that projects onto the space of spherical harmonics of degree [Formula: see text]. In showing this estimate, we apply an interpolation technique first introduced by Bourgain [J. Bourgain, Estimations de certaines fonctions maximales, C. R. Acad. Sci. Paris Sér. I Math. 301(10) (1985) 499–502.]. The rest of our proof parallels that in Huang–Sogge [S. Huang and C. D. Sogge, Concerning [Formula: see text] resolvent estimates for simply connected manifolds of constant curvature, J. Funct. Anal. 267(12) (2014) 4635–4666].","PeriodicalId":9348,"journal":{"name":"Bulletin of Mathematical Sciences","volume":"16 1","pages":""},"PeriodicalIF":1.2,"publicationDate":"2019-05-12","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"85878935","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":2,"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
Interpolation of compact bilinear operators 紧双线性算子的插值
IF 1.2 2区 数学
Bulletin of Mathematical Sciences Pub Date : 2019-04-13 DOI: 10.1142/s1664360720500022
M. Mastyło, E. B. Silva
{"title":"Interpolation of compact bilinear operators","authors":"M. Mastyło, E. B. Silva","doi":"10.1142/s1664360720500022","DOIUrl":"https://doi.org/10.1142/s1664360720500022","url":null,"abstract":"This paper is devoted to the study of the stability of the compactness property of bilinear operators acting on the products of interpolated Banach spaces. We prove one-sided compactness results for bilinear operators on products of Banach spaces generated by abstract methods of interpolation, in the sense of Aronszajn and Gagliardo. To get these results, we prove a key one-sided bilinear interpolation theorem on compactness for bilinear operators on couples satisfying an extra approximation property. We give applications to general cases, including Peetre’s method and the general real interpolation methods.","PeriodicalId":9348,"journal":{"name":"Bulletin of Mathematical Sciences","volume":"24 1","pages":""},"PeriodicalIF":1.2,"publicationDate":"2019-04-13","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"81568212","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":2,"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
Lq-Estimates for stationary Stokes system with coefficients measurable in one direction 系数在一个方向上可测的平稳Stokes系统的lq估计
IF 1.2 2区 数学
Bulletin of Mathematical Sciences Pub Date : 2019-04-01 DOI: 10.1142/s1664360719500048
Hongjie Dong, Doyoon Kim
{"title":"Lq-Estimates for stationary Stokes system with coefficients measurable in one direction","authors":"Hongjie Dong, Doyoon Kim","doi":"10.1142/s1664360719500048","DOIUrl":"https://doi.org/10.1142/s1664360719500048","url":null,"abstract":"We study the stationary Stokes system with variable coefficients in the whole space, a half space, and on bounded Lipschitz domains. In the whole and half spaces, we obtain a priori [Formula: see text]-estimates for any [Formula: see text] when the coefficients are merely measurable functions in one fixed direction. For the system on bounded Lipschitz domains with a small Lipschitz constant, we obtain a [Formula: see text]-estimate and prove the solvability for any [Formula: see text] when the coefficients are merely measurable functions in one direction and have locally small mean oscillations in the orthogonal directions in each small ball, where the direction is allowed to depend on the ball.","PeriodicalId":9348,"journal":{"name":"Bulletin of Mathematical Sciences","volume":"3 1","pages":""},"PeriodicalIF":1.2,"publicationDate":"2019-04-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"79515697","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":2,"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: 15
Smoothness of functions versus smoothness of approximation processes 函数的平滑性和近似过程的平滑性
IF 1.2 2区 数学
Bulletin of Mathematical Sciences Pub Date : 2019-03-01 DOI: 10.1142/s1664360720300029
Yurii Kolomoitsev, S. Tikhonov
{"title":"Smoothness of functions versus smoothness of approximation processes","authors":"Yurii Kolomoitsev, S. Tikhonov","doi":"10.1142/s1664360720300029","DOIUrl":"https://doi.org/10.1142/s1664360720300029","url":null,"abstract":"We provide a comprehensive study of interrelations between different measures of smoothness of functions on various domains and smoothness properties of approximation processes. Two general approaches to this problem have been developed: The first based on geometric properties of Banach spaces and the second on Littlewood–Paley and Hörmander-type multiplier theorems. In particular, we obtain new sharp inequalities for measures of smoothness given by the [Formula: see text]-functionals or moduli of smoothness. As examples of approximation processes we consider best polynomial and spline approximations, Fourier multiplier operators on [Formula: see text], [Formula: see text], [Formula: see text], nonlinear wavelet approximation, etc.","PeriodicalId":9348,"journal":{"name":"Bulletin of Mathematical Sciences","volume":"107 1","pages":""},"PeriodicalIF":1.2,"publicationDate":"2019-03-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"79567788","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":2,"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: 9
首页 上一页 下一页 尾页
0
×
引用
GB/T 7714-2015
复制
MLA
复制
APA
复制
导出至
BibTeX EndNote RefMan NoteFirst NoteExpress
×
提示
您的信息不完整，为了账户安全，请先补充。
现在去补充
×
提示
您因"违规操作"
具体请查看互助需知
我知道了
×
提示
现在去查看 取消
×
提示
确定
请完成安全验证×
相关产品
×
本文献相关产品
联系我们：info@booksci.cn Book学术提供免费学术资源搜索服务，方便国内外学者检索中英文文献。致力于提供最便捷和优质的服务体验。 Copyright © 2023 布克学术 All rights reserved.
京ICP备2023020795号-1
ghs 京公网安备 11010802042870号
Book学术文献互助
Book学术文献互助群
群 号：481959085
Book学术官方微信