发布求助
文献互助 智能选刊 最新文献

ACTA SCIENTIARUM MATHEMATICARUM最新文献

筛选
英文 中文
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":"https://doi.org/10.1007/s44146-024-00108-y","url":null,"abstract":"","PeriodicalId":46939,"journal":{"name":"ACTA SCIENTIARUM MATHEMATICARUM","volume":"11 3","pages":"1-11"},"PeriodicalIF":0.5,"publicationDate":"2024-02-10","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"139786491","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
Cauchy dual and Wold-type decomposition for bi-regular covariant representations 双规则协变表示的考奇对偶和沃尔德式分解
IF 0.5
ACTA SCIENTIARUM MATHEMATICARUM Pub Date : 2024-01-17 DOI: 10.1007/s44146-023-00105-7
Dimple Saini
{"title":"Cauchy dual and Wold-type decomposition for bi-regular covariant representations","authors":"Dimple Saini","doi":"10.1007/s44146-023-00105-7","DOIUrl":"10.1007/s44146-023-00105-7","url":null,"abstract":"<div><p>The notion of Cauchy dual for left-invertible covariant representations was studied by Trivedi and Veerabathiran. Using the Moore-Penrose inverse, we extend this notion for the covariant representations having closed range and explore several useful properties. We obtain a Wold-type decomposition for regular completely bounded covariant representation whose Moore-Penrose inverse is regular. Also, we discuss an example related to the non-commutative bilateral weighted shift. We prove that the Cauchy dual of the concave covariant representation <span>((sigma , V))</span> modulo <span>(N(widetilde{V}))</span> is hyponormal modulo <span>(N(widetilde{V}))</span>.\u0000</p></div>","PeriodicalId":46939,"journal":{"name":"ACTA SCIENTIARUM MATHEMATICARUM","volume":"90 1-2","pages":"123 - 144"},"PeriodicalIF":0.5,"publicationDate":"2024-01-17","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"142412112","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
Derivable maps at commutative products on Banach algebras 巴拿赫代数上交换积的可推导映射
IF 0.5
ACTA SCIENTIARUM MATHEMATICARUM Pub Date : 2024-01-08 DOI: 10.1007/s44146-023-00104-8
Abbas Zivari-Kazempour, Hoger Ghahramani
{"title":"Derivable maps at commutative products on Banach algebras","authors":"Abbas Zivari-Kazempour,&nbsp;Hoger Ghahramani","doi":"10.1007/s44146-023-00104-8","DOIUrl":"10.1007/s44146-023-00104-8","url":null,"abstract":"<div><p>Let <i>A</i> be a unital Banach algebra with unit <i>e</i>, <i>M</i> be a Banach <i>A</i>-bimodule, and <span>(win A)</span>. In this paper, we characterize those continuous linear maps <span>(delta :Arightarrow M)</span> that satisfy one of the following conditions: </p><div><div><span>$$begin{aligned} delta (ab)= &amp; {} delta (a)b+adelta (b), 2delta (w)= &amp; {} delta (a)b+adelta (b), delta (ab)= &amp; {} delta (a)b+adelta (b)-adelta (e)b, end{aligned}$$</span></div></div><p>for any <span>(a,bin A)</span> with <span>(ab=ba=w)</span>, where <i>w</i> is either a separating point with <span>(win Z(A))</span> or an idempotent.</p></div>","PeriodicalId":46939,"journal":{"name":"ACTA SCIENTIARUM MATHEMATICARUM","volume":"90 1-2","pages":"165 - 174"},"PeriodicalIF":0.5,"publicationDate":"2024-01-08","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"139447761","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
Weighted numerical radius inequalities for operator and operator matrices 算子和算子矩阵的加权数值半径不等式
IF 0.5
ACTA SCIENTIARUM MATHEMATICARUM Pub Date : 2023-12-21 DOI: 10.1007/s44146-023-00103-9
Raj Kumar Nayak
{"title":"Weighted numerical radius inequalities for operator and operator matrices","authors":"Raj Kumar Nayak","doi":"10.1007/s44146-023-00103-9","DOIUrl":"10.1007/s44146-023-00103-9","url":null,"abstract":"<div><p>The concept of weighted numerical radius has been defined recently. In this article, we obtain several upper bounds for the weighted numerical radius of operators and <span>(2 times 2)</span> operator matrices which generalize and improve some well-known famous inequalities for the classical numerical radius. The article also derives an upper bound for the weighted numerical radius of the Aluthge transformation, <span>({tilde{T}})</span> of an operator <span>(T in {mathcal {B}}({mathcal {H}}),)</span> where <span>({tilde{T}} = |T|^{1/2} U |T|^{1/2},)</span> and <span>(T = U |T|)</span> is the Canonical Polar decomposition of <i>T</i>.\u0000</p></div>","PeriodicalId":46939,"journal":{"name":"ACTA SCIENTIARUM MATHEMATICARUM","volume":"90 1-2","pages":"193 - 206"},"PeriodicalIF":0.5,"publicationDate":"2023-12-21","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"142412895","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
On a binary operation for positive operators 关于正算子的二元运算
IF 0.5
ACTA SCIENTIARUM MATHEMATICARUM Pub Date : 2023-12-18 DOI: 10.1007/s44146-023-00102-w
Shigeru Furuichi, Hamid Reza Moradi, Cristian Conde, Mohammad Sababheh
{"title":"On a binary operation for positive operators","authors":"Shigeru Furuichi,&nbsp;Hamid Reza Moradi,&nbsp;Cristian Conde,&nbsp;Mohammad Sababheh","doi":"10.1007/s44146-023-00102-w","DOIUrl":"10.1007/s44146-023-00102-w","url":null,"abstract":"<div><p>M. Lin defined a binary operation for two positive semi-definite matrices in studying certain determinantal inequalities that arise from diffusion tensor imaging. This operation enjoys some interesting properties similar to the operator geometric mean. We study this operation further and present numerous properties emphasizing the relationship with the operator geometric mean. In the end, we present an application toward Tsallis relative operator entropy.</p></div>","PeriodicalId":46939,"journal":{"name":"ACTA SCIENTIARUM MATHEMATICARUM","volume":"90 3-4","pages":"649 - 665"},"PeriodicalIF":0.5,"publicationDate":"2023-12-18","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"138965270","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
({mathcal {C}}_1)-diagrams of slim rectangular semimodular lattices permit quotient diagrams 纤细矩形半模网格的 $${mathcal {C}}_1$$ 图允许商数图
IF 0.5
ACTA SCIENTIARUM MATHEMATICARUM Pub Date : 2023-12-18 DOI: 10.1007/s44146-023-00101-x
Gábor Czédli
{"title":"({mathcal {C}}_1)-diagrams of slim rectangular semimodular lattices permit quotient diagrams","authors":"Gábor Czédli","doi":"10.1007/s44146-023-00101-x","DOIUrl":"10.1007/s44146-023-00101-x","url":null,"abstract":"<div><p><i>Slim semimodular lattices</i> (for short, <i>SPS lattices</i>) and <i>slim rectangular lattices</i> (for short, <i>SR lattices</i>) were introduced by Grätzer and Knapp (Acta Sci Math (Szeged) 73:445–462, 2007; 75:29–48, 2009). These lattices are necessarily finite and planar, and they have been studied in more then four dozen papers since 2007. They are best understood with the help of their <span>({mathcal {C}}_1)</span><i>-diagrams</i>, introduced by the author in 2017. For a diagram <i>F</i> of a finite lattice <i>L</i> and a congruence <span>(alpha )</span> of <i>L</i>, we define the “<i>quotient diagram</i>” <span>(F/alpha )</span> by taking the maximal elements of the <span>(alpha )</span>-blocks and preserving their geometric positions. While <span>(F/alpha )</span> is not even a Hasse diagram in general, we prove that whenever <i>L</i> is an SR lattice and <i>F</i> is a <span>({mathcal {C}}_1)</span>-diagram of <i>L</i>, then <span>(F/alpha )</span> is a <span>({mathcal {C}}_1)</span>-diagram of <span>(L/alpha )</span>, which is an SR lattice or a chain. The class of lattices isomorphic to the congruence lattices of SPS lattices is closed under taking filters. We prove that this class is closed under two more constructions, which are inverses of taking filters in some sense; one of the two respective proofs relies on an inverse of the quotient diagram construction.</p></div>","PeriodicalId":46939,"journal":{"name":"ACTA SCIENTIARUM MATHEMATICARUM","volume":"90 1-2","pages":"1 - 40"},"PeriodicalIF":0.5,"publicationDate":"2023-12-18","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"139175747","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
Multipliers and weak multipliers of algebras 代数的乘数和弱乘数
IF 0.5
ACTA SCIENTIARUM MATHEMATICARUM Pub Date : 2023-11-24 DOI: 10.1007/s44146-023-00100-y
Yuji Kobayashi, Sin-Ei Takahasi
{"title":"Multipliers and weak multipliers of algebras","authors":"Yuji Kobayashi,&nbsp;Sin-Ei Takahasi","doi":"10.1007/s44146-023-00100-y","DOIUrl":"10.1007/s44146-023-00100-y","url":null,"abstract":"<div><p>We investigate general properties of multipliers and weak multipliers of algebras. We apply the results to determine the (weak) multipliers of associative algebras and zeropotent algebras of dimension 3 over an algebraically closed field.</p></div>","PeriodicalId":46939,"journal":{"name":"ACTA SCIENTIARUM MATHEMATICARUM","volume":"90 1-2","pages":"145 - 163"},"PeriodicalIF":0.5,"publicationDate":"2023-11-24","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"142413552","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
Béla Szőkefalvi-Nagy Medal 2023 贝拉-绍克法尔维--2023 年大奖章
IF 0.5
ACTA SCIENTIARUM MATHEMATICARUM Pub Date : 2023-11-20 DOI: 10.1007/s44146-023-00099-2
{"title":"Béla Szőkefalvi-Nagy Medal 2023","authors":"","doi":"10.1007/s44146-023-00099-2","DOIUrl":"10.1007/s44146-023-00099-2","url":null,"abstract":"","PeriodicalId":46939,"journal":{"name":"ACTA SCIENTIARUM MATHEMATICARUM","volume":"89 3-4","pages":"317 - 318"},"PeriodicalIF":0.5,"publicationDate":"2023-11-20","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"138454490","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
The Hahn sequence space generated by the Cesàro mean of order m 由 m 阶 Cesàro 平均值生成的哈恩序列空间
IF 0.5
ACTA SCIENTIARUM MATHEMATICARUM Pub Date : 2023-11-02 DOI: 10.1007/s44146-023-00098-3
Medine Yeşilkayagil Savaşcı, Feyzi Başar
{"title":"The Hahn sequence space generated by the Cesàro mean of order m","authors":"Medine Yeşilkayagil Savaşcı,&nbsp;Feyzi Başar","doi":"10.1007/s44146-023-00098-3","DOIUrl":"10.1007/s44146-023-00098-3","url":null,"abstract":"<div><p>Hahn (Math Phys 32:3–88, 1922) defined the sequence space <i>h</i>. The main purpose of this study is to introduce the new Hahn sequence space <span>(h(C_{m}))</span> as the domain of Cesàro mean of order <i>m</i> and give some topological properties of the space <span>(h(C_{m}))</span>. Moreover, we determine the alpha-, beta- and gamma-duals of the space <span>(h(C_{m}))</span> and characterize the classes <span>((ell _1:h))</span>, <span>((h:ell _p))</span>, <span>((h(C_m):V_{1}))</span> and <span>((V_{2}:h(C_{m})))</span> of matrix transformations, where <span>(1&lt;p&lt;infty )</span>, <span>(V_{1}in {ell _{infty },c,c_{0},ell _p})</span> and <span>(V_{2})</span> is any given sequence space. Finally, we compute the norm of the operators belonging to <span>({mathcal {B}}(ell _1,h(C_m)))</span> and determine the Hausdorff measure of noncompactness of the operators in <span>({mathcal {B}}(ell _1,h(C_m)))</span>.\u0000</p></div>","PeriodicalId":46939,"journal":{"name":"ACTA SCIENTIARUM MATHEMATICARUM","volume":"90 1-2","pages":"53 - 72"},"PeriodicalIF":0.5,"publicationDate":"2023-11-02","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"135935503","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
Wave packet transform in the framework of Lebedev–Skalskaya transforms 列别杰夫-斯卡尔斯卡娅变换框架下的波包变换
IF 0.5
ACTA SCIENTIARUM MATHEMATICARUM Pub Date : 2023-10-07 DOI: 10.1007/s44146-023-00097-4
Ajay K. Gupt, Akhilesh Prasad, U. K. Mandal
{"title":"Wave packet transform in the framework of Lebedev–Skalskaya transforms","authors":"Ajay K. Gupt,&nbsp;Akhilesh Prasad,&nbsp;U. K. Mandal","doi":"10.1007/s44146-023-00097-4","DOIUrl":"10.1007/s44146-023-00097-4","url":null,"abstract":"<div><p>In this paper, we define the wave-packet transform (WPT) involving Lebedev–Skalskaya transform (LS-transform) and establish some norm estimates of LS-wavelet, LS-wavelet transform, and Plancherel’s relation for WPT. Moreover, we obtain the Calderon-type reproducing formula using LS-transform theory and its convolution.</p></div>","PeriodicalId":46939,"journal":{"name":"ACTA SCIENTIARUM MATHEMATICARUM","volume":"90 1-2","pages":"73 - 89"},"PeriodicalIF":0.5,"publicationDate":"2023-10-07","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"135252944","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
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