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Convex geometries representable with colors, by ellipses on the plane, and impossible by circles 用颜色、平面上的椭圆和不可能用圆表示的凸面几何图形
IF 0.5
ACTA SCIENTIARUM MATHEMATICARUM Pub Date : 2024-03-25 DOI: 10.1007/s44146-024-00112-2
Kira Adaricheva, Evan Daisy, Ayush Garg, Grace Ma, Michelle Olson, Cat Raanes, James Thompson
{"title":"Convex geometries representable with colors, by ellipses on the plane, and impossible by circles","authors":"Kira Adaricheva,&nbsp;Evan Daisy,&nbsp;Ayush Garg,&nbsp;Grace Ma,&nbsp;Michelle Olson,&nbsp;Cat Raanes,&nbsp;James Thompson","doi":"10.1007/s44146-024-00112-2","DOIUrl":"10.1007/s44146-024-00112-2","url":null,"abstract":"<div><p>A convex geometry is a closure system satisfying the anti-exchange property. This paper, following the work of Adaricheva and Bolat (Discrete Math 342(N3):726–746, 2019) and the Polymath REU 2020 team (Convex geometries representable by at most 5 circles on the plane. arXiv:2008.13077), continues to investigate representations of convex geometries on a 5-element base set. It introduces several properties: the opposite property, nested triangle property, area Q property, and separation property, of convex geometries of circles on a plane, preventing this representation for numerous convex geometries on a 5-element base set. It also demonstrates that all 672 convex geometries on a 5-element base set have a representation by ellipses, as given in the appendix for those without a known representation by circles, and introduces a method of expanding representation with circles by defining unary predicates, shown as colors.</p></div>","PeriodicalId":46939,"journal":{"name":"ACTA SCIENTIARUM MATHEMATICARUM","volume":"90 1-2","pages":"269 - 322"},"PeriodicalIF":0.5,"publicationDate":"2024-03-25","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"https://link.springer.com/content/pdf/10.1007/s44146-024-00112-2.pdf","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"142413676","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":0,"RegionCategory":"","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"OA","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
引用次数: 0
Additive mappings on von Neumann algebras acting as Lie triple centralizer via local actions and related mappings 通过局部作用和相关映射充当列三中心子的冯-诺依曼布拉上的加法映射
IF 0.5
ACTA SCIENTIARUM MATHEMATICARUM Pub Date : 2024-03-21 DOI: 10.1007/s44146-024-00123-z
B. Fadaee, H. Ghahramani
{"title":"Additive mappings on von Neumann algebras acting as Lie triple centralizer via local actions and related mappings","authors":"B. Fadaee, H. Ghahramani","doi":"10.1007/s44146-024-00123-z","DOIUrl":"https://doi.org/10.1007/s44146-024-00123-z","url":null,"abstract":"","PeriodicalId":46939,"journal":{"name":"ACTA SCIENTIARUM MATHEMATICARUM","volume":"13 S5","pages":""},"PeriodicalIF":0.5,"publicationDate":"2024-03-21","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"140222521","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":0,"RegionCategory":"","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
引用次数: 0
Semi-compactness of Null almost L-weakly and Null almost M-weakly compact operators 近乎 L 弱和近乎 M 弱空紧凑算子的半紧凑性
IF 0.5
ACTA SCIENTIARUM MATHEMATICARUM Pub Date : 2024-03-15 DOI: 10.1007/s44146-024-00107-z
Safae El filali, Khalid Bouras
{"title":"Semi-compactness of Null almost L-weakly and Null almost M-weakly compact operators","authors":"Safae El filali,&nbsp;Khalid Bouras","doi":"10.1007/s44146-024-00107-z","DOIUrl":"10.1007/s44146-024-00107-z","url":null,"abstract":"<div><p>In this paper, we investigate Banach lattices on which each positive semi-compact operator <span>(T: Erightarrow F)</span> is null almost L-weakly compact (rep. Null almost M-weakly compact). Additionally, we present certain sufficient and necessary conditions for a positive Null almost L-weakly compact operator to be semi-compact.\u0000</p></div>","PeriodicalId":46939,"journal":{"name":"ACTA SCIENTIARUM MATHEMATICARUM","volume":"90 1-2","pages":"207 - 218"},"PeriodicalIF":0.5,"publicationDate":"2024-03-15","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"140239150","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":0,"RegionCategory":"","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
引用次数: 0
Norm inequalities for product of matrices 矩阵积的规范不等式
IF 0.5
ACTA SCIENTIARUM MATHEMATICARUM Pub Date : 2024-03-14 DOI: 10.1007/s44146-024-00121-1
Ahmad Al-Natoor
{"title":"Norm inequalities for product of matrices","authors":"Ahmad Al-Natoor","doi":"10.1007/s44146-024-00121-1","DOIUrl":"https://doi.org/10.1007/s44146-024-00121-1","url":null,"abstract":"","PeriodicalId":46939,"journal":{"name":"ACTA SCIENTIARUM MATHEMATICARUM","volume":"29 6","pages":""},"PeriodicalIF":0.5,"publicationDate":"2024-03-14","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"140243630","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":0,"RegionCategory":"","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
引用次数: 0
Correction to: Strongly convex matrix functions 修正：强凸矩阵函数
IF 0.5
ACTA SCIENTIARUM MATHEMATICARUM Pub Date : 2024-03-13 DOI: 10.1007/s44146-024-00122-0
Takashi Sano
{"title":"Correction to: Strongly convex matrix functions","authors":"Takashi Sano","doi":"10.1007/s44146-024-00122-0","DOIUrl":"10.1007/s44146-024-00122-0","url":null,"abstract":"","PeriodicalId":46939,"journal":{"name":"ACTA SCIENTIARUM MATHEMATICARUM","volume":"90 3-4","pages":"691 - 692"},"PeriodicalIF":0.5,"publicationDate":"2024-03-13","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"142826436","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":0,"RegionCategory":"","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
引用次数: 0
Singular value inequalities with applications to norms and means of matrices 奇异值不等式在矩阵规范和均值中的应用
IF 0.5
ACTA SCIENTIARUM MATHEMATICARUM Pub Date : 2024-03-08 DOI: 10.1007/s44146-024-00113-1
Fuad Kittaneh, Hamid Reza Moradi, Mohammad Sababheh
{"title":"Singular value inequalities with applications to norms and means of matrices","authors":"Fuad Kittaneh,&nbsp;Hamid Reza Moradi,&nbsp;Mohammad Sababheh","doi":"10.1007/s44146-024-00113-1","DOIUrl":"10.1007/s44146-024-00113-1","url":null,"abstract":"<div><p>In this paper, we obtain some upper bounds for the singular values of sums of product of matrices. The obtained forms involve direct sums and mean-like matrix quantities. As applications, several bounds will be found in terms of the Aluthge transform, matrix means, matrix monotone functions and accretive-dissipative matrices. For example, we show that if <i>X</i> is an <span>(ntimes n)</span> accretive-dissipative matrix, then </p><div><div><span>$$begin{aligned} {{s}_{j}}left( X right) le left( 1+frac{sqrt{2}}{2} right) {{s}_{j}}left( Re Xoplus Im X right) , end{aligned}$$</span></div></div><p>for <span>(j=1,2,ldots n)</span>, where <span>(s_j(cdot ), Re (cdot ))</span> and <span>(Im (cdot ))</span> denote the <span>(j-)</span>th singular value, the real part and the imaginary part, respectively. We also show that if <span>(sigma _f,sigma _g)</span> are two matrix means corresponding to the operator monotone functions <i>f</i>, <i>g</i>, then </p><div><div><span>$$begin{aligned} {{s}_{j}}left( A{{sigma }_{f}}B-A{{sigma }_{g}}B right) le left| A right| {{s}_{j}}left( fleft( {{A}^{-frac{1}{2}}}B{{A}^{-frac{1}{2}}} right) oplus gleft( {{A}^{-frac{1}{2}}}B{{A}^{-frac{1}{2}}} right) right) , end{aligned}$$</span></div></div><p>for <span>(j =1,2, ldots , n)</span>, where <i>A</i>, <i>B</i> are two positive definite <span>(ntimes n)</span> matrices.</p></div>","PeriodicalId":46939,"journal":{"name":"ACTA SCIENTIARUM MATHEMATICARUM","volume":"90 3-4","pages":"419 - 439"},"PeriodicalIF":0.5,"publicationDate":"2024-03-08","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"140396789","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":0,"RegionCategory":"","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
引用次数: 0
Boundary values of pluriharmonic functions with Bott-Chern cohomology 具有 Bott-Chern 同调的多谐函数的边界值
IF 0.5
ACTA SCIENTIARUM MATHEMATICARUM Pub Date : 2024-02-28 DOI: 10.1007/s44146-024-00110-4
Sény Diatta, Souhaibou Sambou, Eramane Bodian, Salomon Sambou, Shaban Khidr
{"title":"Boundary values of pluriharmonic functions with Bott-Chern cohomology","authors":"Sény Diatta,&nbsp;Souhaibou Sambou,&nbsp;Eramane Bodian,&nbsp;Salomon Sambou,&nbsp;Shaban Khidr","doi":"10.1007/s44146-024-00110-4","DOIUrl":"10.1007/s44146-024-00110-4","url":null,"abstract":"<div><p>The main purpose of this paper is to investigate the relationship between continuation of pluriharmonic functions from the boundary of an unbounded domain and the vanishing of the Bott-Chern cohomology with supports in a paracompactifying family of closed subset of a complex manifold <i>X</i>. We moreover give a relation between distributional boundary values and extensible currents.</p></div>","PeriodicalId":46939,"journal":{"name":"ACTA SCIENTIARUM MATHEMATICARUM","volume":"90 1-2","pages":"231 - 239"},"PeriodicalIF":0.5,"publicationDate":"2024-02-28","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"140418786","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":0,"RegionCategory":"","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
引用次数: 0
Characterization of closed n-paranormal and (n^{*})-paranormal operators 封闭 n-paranormal 和 $$n^{*}$$ n ∗ -paranormal 算子的特征
IF 0.5
ACTA SCIENTIARUM MATHEMATICARUM Pub Date : 2024-02-26 DOI: 10.1007/s44146-024-00109-x
Salah Mecheri, Aissa Nasli Bakir
{"title":"Characterization of closed n-paranormal and (n^{*})-paranormal operators","authors":"Salah Mecheri,&nbsp;Aissa Nasli Bakir","doi":"10.1007/s44146-024-00109-x","DOIUrl":"10.1007/s44146-024-00109-x","url":null,"abstract":"<div><p>We give several basic and spectral properties of classes of closed <i>n</i>-paranormal and closed <span>(n^{*})</span>-paranormal operators on dense domains in complex separable Hilbert spaces. We prove that for both of these classes of operators, the null space of <span>((T-mu I))</span> and the range of <span>(R(E_{mu }))</span> are identical, where <span>(E_{mu })</span> is the Riesz projection with respect to an isolated point <span>(mu )</span> of the spectrum. We show that they satisfy Weyl’s theorem. Certain properties related to the reduced minimum modulus are also established.</p></div>","PeriodicalId":46939,"journal":{"name":"ACTA SCIENTIARUM MATHEMATICARUM","volume":"90 1-2","pages":"219 - 230"},"PeriodicalIF":0.5,"publicationDate":"2024-02-26","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"140431414","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":0,"RegionCategory":"","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
引用次数: 0
Some results on unbounded absolute weak convergence 关于无约束绝对弱收敛的一些结果
IF 0.5
ACTA SCIENTIARUM MATHEMATICARUM Pub Date : 2024-02-25 DOI: 10.1007/s44146-024-00111-3
Houda Moktafi, Hassan Khabaoui, Kamal El Fahri
{"title":"Some results on unbounded absolute weak convergence","authors":"Houda Moktafi,&nbsp;Hassan Khabaoui,&nbsp;Kamal El Fahri","doi":"10.1007/s44146-024-00111-3","DOIUrl":"10.1007/s44146-024-00111-3","url":null,"abstract":"<div><p>In this paper, we establish the stability of uaw-convergence under passing from sublattices. The various implications of this fact are presented through the paper. In particular, we show that if <span>((x_{alpha }))</span> is an increasing net in a Banach lattice <i>E</i> and <span>(x_{alpha }overset{uaw}{longrightarrow }0)</span> in <i>E</i> then <span>(x_{alpha }overset{un}{longrightarrow }0)</span> in <span>(E^{''})</span>. Furthermore, we deduce some results concerning uaw-completeness. Additionally, we present a new characterizations of KB-spaces (resp. reflexive Banach lattices), using the concepts of uaw-convergence and un-convergence.</p></div>","PeriodicalId":46939,"journal":{"name":"ACTA SCIENTIARUM MATHEMATICARUM","volume":"90 1-2","pages":"241 - 250"},"PeriodicalIF":0.5,"publicationDate":"2024-02-25","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"140432404","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":0,"RegionCategory":"","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
引用次数: 0
Strongly convex matrix functions 强凸矩阵函数
IF 0.5
ACTA SCIENTIARUM MATHEMATICARUM Pub Date : 2024-02-10 DOI: 10.1007/s44146-024-00108-y
Takashi Sano
{"title":"Strongly convex matrix functions","authors":"Takashi Sano","doi":"10.1007/s44146-024-00108-y","DOIUrl":"10.1007/s44146-024-00108-y","url":null,"abstract":"<div><p>In this article, we study strongly convex matrix functions and the strong Davis-Sherman condition to see their relations, corresponding to those of strongly operator-convex functions in Brown (Can J Math 40:865–988, 1988; Ann Funct Anal 9:41–55, 2018)and in Brown and Uchiyama(Linear Algebra Appl) Linear Algebra Appl 553:238–251, 2018).</p></div>","PeriodicalId":46939,"journal":{"name":"ACTA SCIENTIARUM MATHEMATICARUM","volume":"90 3-4","pages":"637 - 647"},"PeriodicalIF":0.5,"publicationDate":"2024-02-10","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"139846321","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":0,"RegionCategory":"","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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