发布求助
文献互助 智能选刊 最新文献

Archiv der Mathematik最新文献

筛选
英文 中文
A note on involution prefixes in Coxeter groups 考克斯特群中对合前缀的注释
IF 0.5 4区 数学
Archiv der Mathematik Pub Date : 2026-02-07 DOI: 10.1007/s00013-025-02220-z
Sarah B. Hart, Peter J. Rowley
{"title":"A note on involution prefixes in Coxeter groups","authors":"Sarah B. Hart,&nbsp;Peter J. Rowley","doi":"10.1007/s00013-025-02220-z","DOIUrl":"10.1007/s00013-025-02220-z","url":null,"abstract":"<div><p>Let (<i>W</i>, <i>R</i>) be a Coxeter system and let <span>(w in W)</span>. We say that <i>u</i> is a <i>prefix</i> of <i>w</i> if there is a reduced expression for <i>u</i> that can be extended to one for <i>w</i>. That is, <span>(w = uv)</span> for some <i>v</i> in <i>W</i> such that <span>(ell (w) = ell (u) + ell (v))</span>. We say that <i>w</i> has the <i>ancestor property</i> if the set of prefixes of <i>w</i> contains a unique involution of maximal length. In this paper, we show that all Coxeter elements of finitely generated Coxeter groups have the ancestor property, and hence a canonical expression as a product of involutions. We conjecture that the property in fact holds for all non-identity elements of finite Coxeter groups.</p></div>","PeriodicalId":8346,"journal":{"name":"Archiv der Mathematik","volume":"126 3","pages":"231 - 237"},"PeriodicalIF":0.5,"publicationDate":"2026-02-07","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"147337472","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
Spectrally additive maps on the positive cones of the Wiener algebra 维纳代数正锥上的谱加性映射
IF 0.5 4区 数学
Archiv der Mathematik Pub Date : 2026-02-07 DOI: 10.1007/s00013-026-02224-3
Shiho Oi, Kaito Sato
{"title":"Spectrally additive maps on the positive cones of the Wiener algebra","authors":"Shiho Oi,&nbsp;Kaito Sato","doi":"10.1007/s00013-026-02224-3","DOIUrl":"10.1007/s00013-026-02224-3","url":null,"abstract":"<div><p>We study surjective maps between the positive cones of the Wiener algebra that preserve the spectrum of the sum of every two elements. We show that such maps can be extended to isometric real-linear isomorphisms of the Wiener algebra.</p></div>","PeriodicalId":8346,"journal":{"name":"Archiv der Mathematik","volume":"126 4","pages":"417 - 423"},"PeriodicalIF":0.5,"publicationDate":"2026-02-07","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"147636860","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
Medial axis detects non-Lipschitz normally embedded points 内轴检测非lipschitz正常嵌入点
IF 0.5 4区 数学
Archiv der Mathematik Pub Date : 2026-02-07 DOI: 10.1007/s00013-025-02216-9
Adam Białożyt
{"title":"Medial axis detects non-Lipschitz normally embedded points","authors":"Adam Białożyt","doi":"10.1007/s00013-025-02216-9","DOIUrl":"10.1007/s00013-025-02216-9","url":null,"abstract":"<div><p>We show that the (multi)function of the closest points is locally Lipschitz outside of the medial axis of a closed set <span>(Xsubset mathbb {R}^n)</span>. With this result, we prove that the medial axis of <i>X</i> approaches every point where <i>X</i> is not Lipschitz normally embedded.</p></div>","PeriodicalId":8346,"journal":{"name":"Archiv der Mathematik","volume":"126 3","pages":"285 - 293"},"PeriodicalIF":0.5,"publicationDate":"2026-02-07","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"https://link.springer.com/content/pdf/10.1007/s00013-025-02216-9.pdf","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"147337471","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":4,"RegionCategory":"数学","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"OA","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
引用次数: 0
A Weyl equidistribution theorem over function fields 函数域上的Weyl等分布定理
IF 0.5 4区 数学
Archiv der Mathematik Pub Date : 2026-01-28 DOI: 10.1007/s00013-025-02215-w
Ethan Ackelsberg
{"title":"A Weyl equidistribution theorem over function fields","authors":"Ethan Ackelsberg","doi":"10.1007/s00013-025-02215-w","DOIUrl":"10.1007/s00013-025-02215-w","url":null,"abstract":"<div><p>A classical theorem of Weyl states that any polynomial with an irrational coefficient other than the constant term is uniformly distributed mod 1. We prove a new function field analogue of this statement, confirming a conjecture of Lê, Liu, and Wooley.</p></div>","PeriodicalId":8346,"journal":{"name":"Archiv der Mathematik","volume":"126 3","pages":"257 - 266"},"PeriodicalIF":0.5,"publicationDate":"2026-01-28","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"https://link.springer.com/content/pdf/10.1007/s00013-025-02215-w.pdf","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"147342847","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":4,"RegionCategory":"数学","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"OA","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
引用次数: 0
A note on the Cramér–Granville model 关于cramsamr - granville模型的注释
IF 0.5 4区 数学
Archiv der Mathematik Pub Date : 2026-01-27 DOI: 10.1007/s00013-025-02214-x
Christian Táfula
{"title":"A note on the Cramér–Granville model","authors":"Christian Táfula","doi":"10.1007/s00013-025-02214-x","DOIUrl":"10.1007/s00013-025-02214-x","url":null,"abstract":"<div><p>We show the existence of a set <span>(Asubseteq mathbb {Z}_{ge 2})</span> satisfying the estimates of the Bateman–Horn conjecture, Goldbach’s conjecture, and also </p><div><div><span>$$begin{aligned} #{ple x text { prime} ~|~ pin A} gg x(log log x)/(log x)^2. end{aligned}$$</span></div></div></div>","PeriodicalId":8346,"journal":{"name":"Archiv der Mathematik","volume":"126 3","pages":"275 - 283"},"PeriodicalIF":0.5,"publicationDate":"2026-01-27","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"https://link.springer.com/content/pdf/10.1007/s00013-025-02214-x.pdf","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"147342674","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":4,"RegionCategory":"数学","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 derived Lie algebras 关于派生李代数
IF 0.5 4区 数学
Archiv der Mathematik Pub Date : 2026-01-24 DOI: 10.1007/s00013-025-02206-x
Salvatore Siciliano, David A. Towers
{"title":"On derived Lie algebras","authors":"Salvatore Siciliano,&nbsp;David A. Towers","doi":"10.1007/s00013-025-02206-x","DOIUrl":"10.1007/s00013-025-02206-x","url":null,"abstract":"<div><p>In this paper, we investigate the problem of which Lie algebras appear as the derived algebra of a Lie algebra. We present new results that further develop this study and address two questions raised in a paper concerned with the corresponding problem for groups.</p></div>","PeriodicalId":8346,"journal":{"name":"Archiv der Mathematik","volume":"126 2","pages":"139 - 151"},"PeriodicalIF":0.5,"publicationDate":"2026-01-24","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"https://link.springer.com/content/pdf/10.1007/s00013-025-02206-x.pdf","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"147341767","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":4,"RegionCategory":"数学","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"OA","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
引用次数: 0
When is the elementary operator of length one an n-isometry? 什么时候长度为1的初等算子是n等距的？
IF 0.5 4区 数学
Archiv der Mathematik Pub Date : 2026-01-21 DOI: 10.1007/s00013-025-02217-8
Mohamed Amine Aouichaoui
{"title":"When is the elementary operator of length one an n-isometry?","authors":"Mohamed Amine Aouichaoui","doi":"10.1007/s00013-025-02217-8","DOIUrl":"10.1007/s00013-025-02217-8","url":null,"abstract":"<div><p>We study <i>n</i>-isometric elementary operators of length one, highlighting the special case <span>(n=1)</span>, which is fundamental due to the importance and practical relevance of classical isometries. In this case, we provide two proofs: one based on norm arguments and the other using an identification with tensor products and standard factorization properties. For arbitrary <i>n</i>, we furnish a direct proof of a result by Caixing Gu on <i>n</i>-isometric elementary operators of length one, relying solely on an antiunitary cosimilarity and a single lemma, and thereby eschewing the auxiliary arguments of the original work.</p></div>","PeriodicalId":8346,"journal":{"name":"Archiv der Mathematik","volume":"126 3","pages":"295 - 303"},"PeriodicalIF":0.5,"publicationDate":"2026-01-21","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"147340745","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
Loop space blow-up and scale calculus 循环空间放大和尺度演算
IF 0.5 4区 数学
Archiv der Mathematik Pub Date : 2026-01-16 DOI: 10.1007/s00013-025-02211-0
Urs Frauenfelder, Joa Weber
{"title":"Loop space blow-up and scale calculus","authors":"Urs Frauenfelder,&nbsp;Joa Weber","doi":"10.1007/s00013-025-02211-0","DOIUrl":"10.1007/s00013-025-02211-0","url":null,"abstract":"<div><p>In this note, we show that the Barutello–Ortega–Verzini regularization map is scale smooth.\u0000</p></div>","PeriodicalId":8346,"journal":{"name":"Archiv der Mathematik","volume":"126 3","pages":"335 - 342"},"PeriodicalIF":0.5,"publicationDate":"2026-01-16","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"https://link.springer.com/content/pdf/10.1007/s00013-025-02211-0.pdf","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"147335710","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":4,"RegionCategory":"数学","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 the fundamental eigenvalue gap of Sturm–Liouville operators Sturm-Liouville算子的基本特征值间隙
IF 0.5 4区 数学
Archiv der Mathematik Pub Date : 2026-01-08 DOI: 10.1007/s00013-025-02213-y
Mohammed Ahrami, Zakaria El Allali, Evans M. Harrell II
{"title":"On the fundamental eigenvalue gap of Sturm–Liouville operators","authors":"Mohammed Ahrami,&nbsp;Zakaria El Allali,&nbsp;Evans M. Harrell II","doi":"10.1007/s00013-025-02213-y","DOIUrl":"10.1007/s00013-025-02213-y","url":null,"abstract":"<div><p>We use methods of direct optimization as in El Allali and Harrell (Proc Am Math Soc 150:57–587, 2022) to characterize the minimizers of the fundamental gap of Sturm–Liouville operators on an interval, under the constraint that the potential is of single-well form and that the weight function is of single-barrier form, and under similar constraints expressed in terms of convexity.</p></div>","PeriodicalId":8346,"journal":{"name":"Archiv der Mathematik","volume":"126 2","pages":"187 - 197"},"PeriodicalIF":0.5,"publicationDate":"2026-01-08","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"147338040","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
Double algebraic genericity of universal forward-only harmonic functions on trees in the general case 一般情况下树上泛正调和函数的二重代数泛型
IF 0.5 4区 数学
Archiv der Mathematik Pub Date : 2026-01-08 DOI: 10.1007/s00013-025-02193-z
Christos Angelos Konidas, Vassili Nestoridis
{"title":"Double algebraic genericity of universal forward-only harmonic functions on trees in the general case","authors":"Christos Angelos Konidas,&nbsp;Vassili Nestoridis","doi":"10.1007/s00013-025-02193-z","DOIUrl":"10.1007/s00013-025-02193-z","url":null,"abstract":"<div><p>It has been shown that the set of universal functions on trees contains a linear subspace except zero, dense in the space of forward-only harmonic functions. In this paper, we show that the set of universal functions contains two linear subspaces except zero, dense in the space of forward-only harmonic functions that intersect only at zero. We work in the most general case that has been studied so far, letting our functions take values over a topological vector space.</p></div>","PeriodicalId":8346,"journal":{"name":"Archiv der Mathematik","volume":"126 2","pages":"165 - 176"},"PeriodicalIF":0.5,"publicationDate":"2026-01-08","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"147338039","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
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：604180095
Book学术官方微信
小红书