Indiana University Mathematics Journal最新文献_第10页

Three chapters on Cremona groups 关于克雷莫纳群体的三章

IF 1.1 2区数学

Indiana University Mathematics Journal Pub Date : 2020-07-27 DOI: 10.1512/iumj.2021.70.9153

Serge Cantat, Julie D'eserti, Junyi Xie

引用次数: 4

On factorization of separating maps on noncommutative L^p-spaces 非交换L^p空间上分离映射的分解

IF 1.1 2区数学

Indiana University Mathematics Journal Pub Date : 2020-07-09 DOI: 10.1512/iumj.2022.71.9111

C. Merdy, S. Zadeh

{"title":"On factorization of separating maps on noncommutative L^p-spaces","authors":"C. Merdy, S. Zadeh","doi":"10.1512/iumj.2022.71.9111","DOIUrl":"https://doi.org/10.1512/iumj.2022.71.9111","url":null,"abstract":"For any semifinite von Neumann algebra ${mathcal M}$ and any $1leq p<infty$, we introduce a natutal $S^1$-valued noncommutative $L^p$-space $L^p({mathcal M};S^1)$. We say that a bounded map $Tcolon L^p({mathcal M})to L^p({mathcal N})$ is $S^1$-bounded (resp. $S^1$-contractive) if $Totimes I_{S^1}$ extends to a bounded (resp. contractive) map $Toverline{otimes} I_{S^1}$ from $ L^p({mathcal M};S^1)$ into $L^p({mathcal N};S^1)$. We show that any completely positive map is $S^1$-bounded, with $Vert Toverline{otimes} I_{S^1}Vert =Vert TVert$. We use the above as a tool to investigate the separating maps $Tcolon L^p({mathcal M})to L^p({mathcal N})$ which admit a direct Yeadon type factorization, that is, maps for which there exist a $w^*$-continuous $*$-homomorphism $Jcolon{mathcal M}to{mathcal N}$, a partial isometry $win{mathcal N}$ and a positive operator $B$ affiliated with ${mathcal N}$ such that $w^*w=J(1)=s(B)$, $B$ commutes with the range of $J$, and $T(x)=wBJ(x)$ for any $xin {mathcal M}cap L^p({mathcal M})$. Given a separating isometry $Tcolon L^p({mathcal M})to L^p({mathcal N})$, we show that $T$ is $S^1$-contractive if and only if it admits a direct Yeadon type factorization. We further show that if $pnot=2$, the above holds true if and only if $T$ is completely contractive.","PeriodicalId":50369,"journal":{"name":"Indiana University Mathematics Journal","volume":null,"pages":null},"PeriodicalIF":1.1,"publicationDate":"2020-07-09","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"43752560","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":2,"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: 8

On parabolic and elliptic equations with singular or degenerate coefficients 关于具有奇异或退化系数的抛物型和椭圆型方程

IF 1.1 2区数学

Indiana University Mathematics Journal Pub Date : 2020-07-08 DOI: 10.1512/iumj.2023.72.9202

Hongjie Dong, T. Phan

引用次数: 15

Boundedness of some multi-parameter fiber-wise multiplier operators 一些多参数光纤乘法器算子的有界性

IF 1.1 2区数学

Indiana University Mathematics Journal Pub Date : 2020-07-05 DOI: 10.1512/iumj.2022.71.9150

F. Bernicot, Polona Durcik

引用次数: 2

Interpolation results for pathwise Hamilton-Jacobi equations 路径Hamilton-Jacobi方程的插值结果

IF 1.1 2区数学

Indiana University Mathematics Journal Pub Date : 2020-07-05 DOI: 10.1512/iumj.2022.71.9174

P. Lions, B. Seeger, P. Souganidis

引用次数: 4

Convergence problem of Ostrovsky equation with rough data and random data 具有粗糙数据和随机数据的Ostrovsky方程的收敛性问题

IF 1.1 2区数学

Indiana University Mathematics Journal Pub Date : 2020-06-24 DOI: 10.1512/iumj.2022.71.9189

Wei Yan, Qiaoqiao Zhang, Jinqiao Duan, Meihua Yang

引用次数: 1

Continuity method with movable singularities for classical complex Monge-Ampere equations 经典复Monge-Ampere方程的可移动奇点连续性方法

IF 1.1 2区数学

Indiana University Mathematics Journal Pub Date : 2020-06-16 DOI: 10.1512/iumj.2023.72.9316

Antonio Trusiani

引用次数: 5

On the smoothness of $C^1$-contact maps in $C^infty$-rigid Carnot groups $C^infty$ -刚性卡诺群中$C^1$ -接触映射的光滑性

IF 1.1 2区数学

Indiana University Mathematics Journal Pub Date : 2020-06-11 DOI: 10.1512/iumj.2022.71.9205

Jona Lelmi

引用次数: 0

Asymptotic Plateau Problem in H^2xR: Tall Curves H^2xR中的渐近平台问题:高曲线

IF 1.1 2区数学

Indiana University Mathematics Journal Pub Date : 2020-05-31 DOI: 10.1512/iumj.2023.72.9051

Baris Coskunuzer

引用次数: 0

Finite point configurations and the regular value theorem in a fractal setting 分形环境中的有限点配置和正则值定理

IF 1.1 2区数学

Indiana University Mathematics Journal Pub Date : 2020-05-25 DOI: 10.1512/iumj.2022.71.9054

Yumeng Ou, K. Taylor

{"title":"Finite point configurations and the regular value theorem in a fractal setting","authors":"Yumeng Ou, K. Taylor","doi":"10.1512/iumj.2022.71.9054","DOIUrl":"https://doi.org/10.1512/iumj.2022.71.9054","url":null,"abstract":"In this article, we study two problems concerning the size of the set of finite point configurations generated by a compact set $Esubset mathbb{R}^d$. The first problem concerns how the Lebesgue measure or the Hausdorff dimension of the finite point configuration set depends on that of $E$. In particular, we show that if a planar set has dimension exceeding $frac{5}{4}$, then there exists a point $xin E$ so that for each integer $kgeq2$, the set of \"$k$-chains\" has positive Lebesgue measure. \u0000The second problem is a continuous analogue of the Erdős unit distance problem, which aims to determine the maximum number of times a point configuration with prescribed gaps can appear in $E$. For instance, given a triangle with prescribed sides and given a sufficiently regular planar set $E$ with Hausdorff dimension no less than $frac{7}{4}$, we show that the dimension of the set of vertices in $E$ forming said triangle does not exceed $3,{rm dim}_H (E)-3$. In addition to the Euclidean norm, we consider more general distances given by functions satisfying the so-called Phong-Stein rotational curvature condition. We also explore a number of examples to demonstrate the extent to which our results are sharp.","PeriodicalId":50369,"journal":{"name":"Indiana University Mathematics Journal","volume":null,"pages":null},"PeriodicalIF":1.1,"publicationDate":"2020-05-25","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"46863202","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":2,"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: 9