Indagationes Mathematicae-New Series最新文献_第5页

Corrigendum to “Note on a sum involving the divisor function” [Indag. Math. 36 (2025) 1453–1458] “关于包含除数函数的和的注释”的勘误[英文]。数学。36 (2025)1453-1458]

IF 0.8 4区数学

Indagationes Mathematicae-New Series Pub Date : 2026-03-01 Epub Date: 2025-09-30 DOI: 10.1016/j.indag.2025.08.003

Liuying Wu

引用次数: 0

A strengthening of the Harnack inequality 加强哈纳克不平等

IF 0.8 4区数学

Indagationes Mathematicae-New Series Pub Date : 2026-03-01 Epub Date: 2025-06-20 DOI: 10.1016/j.indag.2025.06.004

Marek Svetlik

引用次数: 0

A functional representation approach to vector lattice covers for spaces of compact operators 紧算子空间的向量格盖的函数表示方法

IF 0.8 4区数学

Indagationes Mathematicae-New Series Pub Date : 2026-03-01 Epub Date: 2025-07-09 DOI: 10.1016/j.indag.2025.06.007

Onno van Gaans , Jochen Glück , Anke Kalauch

{"title":"A functional representation approach to vector lattice covers for spaces of compact operators","authors":"Onno van Gaans , Jochen Glück , Anke Kalauch","doi":"10.1016/j.indag.2025.06.007","DOIUrl":"10.1016/j.indag.2025.06.007","url":null,"abstract":"<div><div>For ordered normed vector spaces <span><math><mrow><mi>X</mi><mo>,</mo><mi>Y</mi></mrow></math></span>, we consider the space <span><math><mrow><mi>L</mi><mrow><mo>(</mo><mi>X</mi><mo>,</mo><mi>Y</mi><mo>)</mo></mrow></mrow></math></span> of bounded linear operators and characterize when its cone of positive operators has non-empty interior. When this is satisfied, we give a functional representation of the closure <span><math><mrow><mi>C</mi><mrow><mo>(</mo><mi>X</mi><mo>,</mo><mi>Y</mi><mo>)</mo></mrow></mrow></math></span> of the finite rank operators in <span><math><mrow><mi>L</mi><mrow><mo>(</mo><mi>X</mi><mo>,</mo><mi>Y</mi><mo>)</mo></mrow></mrow></math></span>. This space is particularly interesting since it coincides in many cases with the space of compact operators from <span><math><mi>X</mi></math></span> to <span><math><mi>Y</mi></math></span>. Our functional representation has very good order properties in the sense that it is a so-called vector lattice cover of <span><math><mrow><mi>C</mi><mrow><mo>(</mo><mi>X</mi><mo>,</mo><mi>Y</mi><mo>)</mo></mrow></mrow></math></span>. This can be used to characterize disjointness of operators in <span><math><mrow><mi>C</mi><mrow><mo>(</mo><mi>X</mi><mo>,</mo><mi>Y</mi><mo>)</mo></mrow></mrow></math></span> and to determine which operators have a modulus in <span><math><mrow><mi>C</mi><mrow><mo>(</mo><mi>X</mi><mo>,</mo><mi>Y</mi><mo>)</mo></mrow></mrow></math></span>. We demonstrate how our results can be applied to a variety of concrete spaces.</div></div>","PeriodicalId":56126,"journal":{"name":"Indagationes Mathematicae-New Series","volume":"37 2","pages":"Pages 685-698"},"PeriodicalIF":0.8,"publicationDate":"2026-03-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"147414771","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

Strictly stable Hurwitz polynomials and their determinantal representations 严格稳定Hurwitz多项式及其行列式表示

IF 0.8 4区数学

Indagationes Mathematicae-New Series Pub Date : 2026-03-01 Epub Date: 2025-06-30 DOI: 10.1016/j.indag.2025.06.008

Victor Vinnikov , Hugo J. Woerdeman

{"title":"Strictly stable Hurwitz polynomials and their determinantal representations","authors":"Victor Vinnikov , Hugo J. Woerdeman","doi":"10.1016/j.indag.2025.06.008","DOIUrl":"10.1016/j.indag.2025.06.008","url":null,"abstract":"<div><div>We consider complex polynomials that are stable, i.e., have no zeros, on a Siegel domain of the first kind. Such polynomials are closely related to real homogeneous polynomials that are hyperbolic and to their hyperbolicity cones, that play a central role in convex algebraic geometry. Motivated by the generalized Lax conjecture that any hyperbolicity cone admits a linear matrix inequality representation, we consider a certifying linear determinantal representation for complex stable polynomials. We establish the existence of such a certifying determinantal representation, up to a cofactor, for the case of Siegel domains of the first kind over a symmetric homogeneous cone, such as the positive orthant or more generally a product of (symmetric or skew-symmetric) matrix halfspaces, and for polynomials that are strictly stable, i.e., have no zeros on the boundary of the domain and do not vanish, in an appropriate sense, at infinity. The proofs use a Cayley transform and certifying determinantal representations for strictly stable polynomials on a conformally equivalent bounded (symmetric) domain, using a Hermitian Positivstellensatz and a lurking contraction argument generalizing earlier work in Grinshpan et al. (2016).</div></div>","PeriodicalId":56126,"journal":{"name":"Indagationes Mathematicae-New Series","volume":"37 2","pages":"Pages 610-638"},"PeriodicalIF":0.8,"publicationDate":"2026-03-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"147414766","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

Formal sine functions in harmonic algebra 调和代数中的形式正弦函数

IF 0.8 4区数学

Indagationes Mathematicae-New Series Pub Date : 2026-03-01 Epub Date: 2025-06-20 DOI: 10.1016/j.indag.2025.06.006

Hanamichi Kawamura

引用次数: 0

Cellular homology of compact groups: Split real forms 紧群的细胞同源性：分裂实形

IF 0.8 4区数学

Indagationes Mathematicae-New Series Pub Date : 2026-03-01 Epub Date: 2025-06-25 DOI: 10.1016/j.indag.2025.06.005

Mauro Patrão, Ricardo Sandoval

{"title":"Cellular homology of compact groups: Split real forms","authors":"Mauro Patrão, Ricardo Sandoval","doi":"10.1016/j.indag.2025.06.005","DOIUrl":"10.1016/j.indag.2025.06.005","url":null,"abstract":"<div><div>In this article, we use the Bruhat and Schubert cells to calculate the cellular homology of the maximal compact subgroup <span><math><mi>K</mi></math></span><span> of a connected semisimple Lie group </span><span><math><mi>G</mi></math></span> whose Lie algebra is a split real form. We lift to the maximal compact subgroup the attaching maps for the maximal flag manifold presented in Rabelo and San Martin (2019) and use it to characterize algebraically the incidence order between Schubert cells. We also present algebraic formulas to compute the boundary maps which extend to the maximal compact subgroups similar formulas obtained in the case of the maximal flag manifolds. Finally, we apply our results to calculate the cellular homology of <span><math><mrow><mi>SO</mi><mrow><mo>(</mo><mn>3</mn><mo>)</mo></mrow></mrow></math></span> as the maximal compact subgroup of <span><math><mrow><mi>Sl</mi><mrow><mo>(</mo><mn>3</mn><mo>,</mo><mi>R</mi><mo>)</mo></mrow></mrow></math></span> and the cellular homology of <span><math><mrow><mi>SO</mi><mrow><mo>(</mo><mn>4</mn><mo>)</mo></mrow></mrow></math></span> as the maximal compact subgroup of the split real form <span><math><msub><mrow><mi>G</mi></mrow><mrow><mn>2</mn></mrow></msub></math></span>.</div></div>","PeriodicalId":56126,"journal":{"name":"Indagationes Mathematicae-New Series","volume":"37 2","pages":"Pages 646-672"},"PeriodicalIF":0.8,"publicationDate":"2026-03-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"147414770","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

An elementary proof of a criterion for subfunctors of EXT to be closed EXT子函子闭的判据的初等证明

IF 0.8 4区数学

Indagationes Mathematicae-New Series Pub Date : 2026-03-01 Epub Date: 2025-06-16 DOI: 10.1016/j.indag.2025.06.003

Juan Camilo Cala

引用次数: 0

Some notes on quantitative generalized CLTs with self-decomposable limiting laws by spectral methods 用谱法研究具有自分解极限律的定量广义clt的若干注记

IF 0.8 4区数学

Indagationes Mathematicae-New Series Pub Date : 2026-03-01 Epub Date: 2025-06-10 DOI: 10.1016/j.indag.2025.06.001

Benjamin Arras

{"title":"Some notes on quantitative generalized CLTs with self-decomposable limiting laws by spectral methods","authors":"Benjamin Arras","doi":"10.1016/j.indag.2025.06.001","DOIUrl":"10.1016/j.indag.2025.06.001","url":null,"abstract":"<div><div>In these notes, we obtain new stability estimates for centered non-degenerate self-decomposable probability measures on <span><math><msup><mrow><mi>R</mi></mrow><mrow><mi>d</mi></mrow></msup></math></span> with finite second moment and for non-degenerate symmetric <span><math><mi>α</mi></math></span>-stable probability measures on <span><math><msup><mrow><mi>R</mi></mrow><mrow><mi>d</mi></mrow></msup></math></span> with <span><math><mrow><mi>α</mi><mo>∈</mo><mrow><mo>[</mo><mn>1</mn><mo>,</mo><mn>2</mn><mo>)</mo></mrow></mrow></math></span>. These new results are refinements of the corresponding ones available in the literature. The proofs are based on Stein’s method for self-decomposable laws, recently developed in a series of papers, and on closed forms techniques together with a new ingredient: weighted Poincaré-type inequalities. As applications, rates of convergence in Wasserstein-type distances are computed for several instances of the generalized central limit theorems (CLTs). In particular, a <span><math><msup><mrow><mi>n</mi></mrow><mrow><mn>1</mn><mo>−</mo><mn>2</mn><mo>/</mo><mi>α</mi></mrow></msup></math></span>-rate is obtained in 1-Wasserstein distance when the target law is a non-degenerate symmetric <span><math><mi>α</mi></math></span>-stable one with <span><math><mrow><mi>α</mi><mo>∈</mo><mrow><mo>(</mo><mn>1</mn><mo>,</mo><mn>2</mn><mo>)</mo></mrow></mrow></math></span>. Finally, the non-degenerate symmetric Cauchy case is studied at length from a spectral point of view. At last, in this Cauchy situation, a <span><math><msup><mrow><mi>n</mi></mrow><mrow><mo>−</mo><mn>1</mn></mrow></msup></math></span>-rate of convergence is obtained when the initial law is a certain instance of layered stable distributions.</div></div>","PeriodicalId":56126,"journal":{"name":"Indagationes Mathematicae-New Series","volume":"37 2","pages":"Pages 489-585"},"PeriodicalIF":0.8,"publicationDate":"2026-03-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"147414773","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

Mixed motives 混合动机

IF 0.8 4区数学

Indagationes Mathematicae-New Series Pub Date : 2026-01-01 Epub Date: 2025-03-24 DOI: 10.1016/j.indag.2025.03.002

Luca Barbieri-Viale

引用次数: 0

A remark on the paper of Deninger and Murre 对 Deninger 和 Murre 论文的评论

IF 0.8 4区数学

Indagationes Mathematicae-New Series Pub Date : 2026-01-01 Epub Date: 2024-07-20 DOI: 10.1016/j.indag.2024.07.010

Ben Moonen

引用次数: 0