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
Fixed point theorems of nonexpansive mappings on weakly compact sets 弱紧集上非扩张映射的不动点定理
IF 0.5
ACTA SCIENTIARUM MATHEMATICARUM Pub Date : 2023-02-24 DOI: 10.1007/s44146-023-00055-0
Rashmi Malik, S. Rajesh
{"title":"Fixed point theorems of nonexpansive mappings on weakly compact sets","authors":"Rashmi Malik,&nbsp;S. Rajesh","doi":"10.1007/s44146-023-00055-0","DOIUrl":"10.1007/s44146-023-00055-0","url":null,"abstract":"<div><p>In this paper, we prove that if <i>K</i> is a nonempty weakly compact set in a Banach space <i>X</i>, <span>(T: K rightarrow K)</span> is a nonexpansive map satisfying <span>(dfrac{x+Tx}{2} in K)</span> for all <span>(x in K)</span>, then <i>T</i> has a fixed point whenever <i>X</i> is uniformly rotund with respect to every <i>k</i>-dimensional subspace or <i>X</i> satisfies the <i>property</i> (<i>P</i>). These results improve the results of Veeramani and Radhakrishnan et al.</p></div>","PeriodicalId":46939,"journal":{"name":"ACTA SCIENTIARUM MATHEMATICARUM","volume":"89 1-2","pages":"81 - 92"},"PeriodicalIF":0.5,"publicationDate":"2023-02-24","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"https://link.springer.com/content/pdf/10.1007/s44146-023-00055-0.pdf","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"50509795","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
On monogenity of certain pure number fields defined by (x^{{2}^{u}.3^{v}} - m) 关于由（x^｛2｝^｛u｝.3^｛v｝}-m）定义的某些纯数域的单胚性
IF 0.5
ACTA SCIENTIARUM MATHEMATICARUM Pub Date : 2022-11-24 DOI: 10.1007/s44146-022-00039-6
Lhoussain El Fadil, Ahmed Najim
{"title":"On monogenity of certain pure number fields defined by (x^{{2}^{u}.3^{v}} - m)","authors":"Lhoussain El Fadil,&nbsp;Ahmed Najim","doi":"10.1007/s44146-022-00039-6","DOIUrl":"10.1007/s44146-022-00039-6","url":null,"abstract":"<div><p>Let <span>(K = mathbb {Q} (alpha))</span> \u0000be a pure number field generated by a complex root <span>(alpha )</span> of a monic irreducible polynomial \u0000<span>(F(x) = x^{{2}^{u}.3^{v}} - m)</span>, with \u0000<span>(m neq pm 1 )</span> a square free rational integer, \u0000<i>u</i>, and <i>v</i> two positive integers. In this paper, we study the monogenity \u0000of <i>K</i>. The cases <span>(u = 0)</span> and \u0000<span>(v=0)</span> have been previously studied by the first \u0000author and Ben Yakkou. \u0000We prove that if <i>m</i> ≢ 1 (mod 4) and \u0000<i>m</i> ≢ <span>(pm)</span>1 (mod 9), then <i>K</i> \u0000is monogenic. But if <span>(m equiv 1)</span> (mod 4) \u0000or <span>(m equiv 1 )</span>\u0000(mod 9) or <span>(u = 2)</span> and \u0000<span>(m equiv -1)</span> (mod 9), then \u0000<i>K</i> is not monogenic. Some illustrating examples are given too.\u0000</p></div>","PeriodicalId":46939,"journal":{"name":"ACTA SCIENTIARUM MATHEMATICARUM","volume":"88 3-4","pages":"581 - 594"},"PeriodicalIF":0.5,"publicationDate":"2022-11-24","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"https://link.springer.com/content/pdf/10.1007/s44146-022-00039-6.pdf","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"50510972","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: 2
Erratum to “On lattice isomorphisms of orthodox semigroups” “关于正统半群的格同构”的勘误表
IF 0.5
ACTA SCIENTIARUM MATHEMATICARUM Pub Date : 2022-11-07 DOI: 10.1007/s44146-022-00053-8
Simon M. Goberstein
{"title":"Erratum to “On lattice isomorphisms of orthodox semigroups”","authors":"Simon M. Goberstein","doi":"10.1007/s44146-022-00053-8","DOIUrl":"10.1007/s44146-022-00053-8","url":null,"abstract":"","PeriodicalId":46939,"journal":{"name":"ACTA SCIENTIARUM MATHEMATICARUM","volume":"88 3-4","pages":"821 - 821"},"PeriodicalIF":0.5,"publicationDate":"2022-11-07","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"50460546","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 “Finiteness of the nearring of congruence preserving and 0-preserving functions of an expanded group” 对“扩张群保同余和保0函数的近环的有限性”的修正
IF 0.5
ACTA SCIENTIARUM MATHEMATICARUM Pub Date : 2022-11-05 DOI: 10.1007/s44146-022-00036-9
Gary L. Peterson, Stuart D. Scott
{"title":"Correction to “Finiteness of the nearring of congruence preserving and 0-preserving functions of an expanded group”","authors":"Gary L. Peterson,&nbsp;Stuart D. Scott","doi":"10.1007/s44146-022-00036-9","DOIUrl":"10.1007/s44146-022-00036-9","url":null,"abstract":"<div><p>The purpose of this note is to correct statements and proofs of results in the original paper.</p></div>","PeriodicalId":46939,"journal":{"name":"ACTA SCIENTIARUM MATHEMATICARUM","volume":"88 3-4","pages":"563 - 570"},"PeriodicalIF":0.5,"publicationDate":"2022-11-05","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"50454199","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 2021 2021年Béla Szõkefalvi Nagy奖章
IF 0.5
ACTA SCIENTIARUM MATHEMATICARUM Pub Date : 2022-11-02 DOI: 10.1007/s44146-022-00035-w
{"title":"Béla Szőkefalvi-Nagy Medal 2021","authors":"","doi":"10.1007/s44146-022-00035-w","DOIUrl":"10.1007/s44146-022-00035-w","url":null,"abstract":"","PeriodicalId":46939,"journal":{"name":"ACTA SCIENTIARUM MATHEMATICARUM","volume":"88 3-4","pages":"547 - 547"},"PeriodicalIF":0.5,"publicationDate":"2022-11-02","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"50443409","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 family of C*-subalgebras of Cuntz–Krieger algebras 关于Cuntz-Krieger代数的C*-子代数族
IF 0.5
ACTA SCIENTIARUM MATHEMATICARUM Pub Date : 2022-10-27 DOI: 10.1007/s44146-022-00047-6
Kengo Matsumoto
{"title":"On a family of C*-subalgebras of Cuntz–Krieger algebras","authors":"Kengo Matsumoto","doi":"10.1007/s44146-022-00047-6","DOIUrl":"10.1007/s44146-022-00047-6","url":null,"abstract":"<div><p>In this paper, we study a family of <i>C</i><sup>*</sup>-subalgebras defined by\u0000fixed points of generalized gauge actions of a Cuntz–Krieger algebra by\u0000introducing a family of étale groupoids whose associated <i>C</i><sup>*</sup>-algebras\u0000are these <i>C</i><sup>*</sup>-subalgebras. We show that topological conjugacy classes\u0000of one-sided topological Markov shifts are characterized in terms of the\u0000isomorphism classes of these étale groupoids.</p></div>","PeriodicalId":46939,"journal":{"name":"ACTA SCIENTIARUM MATHEMATICARUM","volume":"88 3-4","pages":"739 - 767"},"PeriodicalIF":0.5,"publicationDate":"2022-10-27","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"https://link.springer.com/content/pdf/10.1007/s44146-022-00047-6.pdf","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"50519029","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: 2
On the Heinz mean in multiple variables 关于多变量的Heinz均值
IF 0.5
ACTA SCIENTIARUM MATHEMATICARUM Pub Date : 2022-10-27 DOI: 10.1007/s44146-022-00054-7
Mustapha Raïssouli, Mohamed Chergui
{"title":"On the Heinz mean in multiple variables","authors":"Mustapha Raïssouli,&nbsp;Mohamed Chergui","doi":"10.1007/s44146-022-00054-7","DOIUrl":"10.1007/s44146-022-00054-7","url":null,"abstract":"<div><p>The fundamental goal of the present paper is to investigate\u0000an extension of the so-called Heinz mean of two arguments for three or\u0000more variables. We also establish that this multivariate mean interpolates\u0000the geometric mean and arithmetic mean in multiple variables. Some\u0000inequalities involving this new mean are discussed as well.</p></div>","PeriodicalId":46939,"journal":{"name":"ACTA SCIENTIARUM MATHEMATICARUM","volume":"88 3-4","pages":"797 - 806"},"PeriodicalIF":0.5,"publicationDate":"2022-10-27","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"https://link.springer.com/content/pdf/10.1007/s44146-022-00054-7.pdf","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"50519028","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
Half-automorphism group of Chein loops Chein环的半自同构群
IF 0.5
ACTA SCIENTIARUM MATHEMATICARUM Pub Date : 2022-10-26 DOI: 10.1007/s44146-022-00038-7
Giliard Souza dos Anjos
{"title":"Half-automorphism group of Chein loops","authors":"Giliard Souza dos Anjos","doi":"10.1007/s44146-022-00038-7","DOIUrl":"10.1007/s44146-022-00038-7","url":null,"abstract":"<div><p>A bijection <i>f</i> of a loop <i>L</i> is a \u0000<i>half-automorphism</i> if \u0000<span>(f(xy) in {f(x)f(y), f(y)f(x)})</span>, for any <span>(x, y in L)</span>. \u0000A half-automorphism is <i>nontrivial</i> when it is neither an automorphism nor an anti-automorphism. \u0000A <i>Chein loop</i> <span>(L = G cup Gu)</span>\u0000is a Moufang loop constructed from a group <i>G</i> and\u0000an element <i>u</i> of order 2 outside <i>G</i>. In this paper, the half-automorphism\u0000group of finite Chein loops is described.\u0000</p></div>","PeriodicalId":46939,"journal":{"name":"ACTA SCIENTIARUM MATHEMATICARUM","volume":"88 3-4","pages":"553 - 562"},"PeriodicalIF":0.5,"publicationDate":"2022-10-26","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"50516665","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: 3
On preservers of pseudo spectrum of skew Jordan matrix products 关于偏斜Jordan矩阵乘积伪谱的保持器
IF 0.5
ACTA SCIENTIARUM MATHEMATICARUM Pub Date : 2022-10-26 DOI: 10.1007/s44146-022-00052-9
M. Bendaoud, A. Benyouness, A. Cade, M. Sarih
{"title":"On preservers of pseudo spectrum of skew Jordan matrix products","authors":"M. Bendaoud,&nbsp;A. Benyouness,&nbsp;A. Cade,&nbsp;M. Sarih","doi":"10.1007/s44146-022-00052-9","DOIUrl":"10.1007/s44146-022-00052-9","url":null,"abstract":"<div><p>Let <span>(mathcal {M}_n)</span> be the space of \u0000<span>(n times n)</span> complex matrices, \u0000and for <span>(varepsilon &gt; 0)</span> and \u0000<span>(A in mathcal {M}_n)</span>, let \u0000<span>(sigma _varepsilon (A))</span> denote the \u0000<span>(varepsilon )</span>-pseudo \u0000spectrum of <i>A</i>. Maps \u0000<span>(Phi )</span> on \u0000<span>(mathcal {M}_n)</span> which \u0000preserve the skew Jordan semi-triple product of matrices in a sense that\u0000</p><div><div><span>$$sigma _varepsilon(Phi(A)Phi(B)*Phi(A))= sigma _varepsilon (AB*A)quad quad (A,B in mathcal {M}_n)$$</span></div></div><p>\u0000are characterized, with no surjectivity assumption on them. Analogous description is obtained for the skew Jordan product on matrices, and its variant of infinite dimension is also noted.</p></div>","PeriodicalId":46939,"journal":{"name":"ACTA SCIENTIARUM MATHEMATICARUM","volume":"88 3-4","pages":"787 - 796"},"PeriodicalIF":0.5,"publicationDate":"2022-10-26","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"50516666","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
A modified similarity degree for C*-algebras C*-代数的一个改进相似度
IF 0.5
ACTA SCIENTIARUM MATHEMATICARUM Pub Date : 2022-10-21 DOI: 10.1007/s44146-022-00043-w
Don Hadwin, Junhao Shen
{"title":"A modified similarity degree for C*-algebras","authors":"Don Hadwin,&nbsp;Junhao Shen","doi":"10.1007/s44146-022-00043-w","DOIUrl":"10.1007/s44146-022-00043-w","url":null,"abstract":"<div><p>We define variants of Pisier's similarity degree for unital C*-algebras and use direct integral theory to obtain new results. We prove\u0000that if every <i>II</i><sub>1</sub> factor representation of a separable C*-algebra <span>(mathcal{A})</span> has\u0000property <span>(Gamma)</span>, then the similarity degree of <span>(mathcal{A})</span> is at most 11.\u0000</p></div>","PeriodicalId":46939,"journal":{"name":"ACTA SCIENTIARUM MATHEMATICARUM","volume":"88 3-4","pages":"627 - 637"},"PeriodicalIF":0.5,"publicationDate":"2022-10-21","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"50504032","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: 1
首页 上一页
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