arXiv: Operator Algebras最新文献_第9页

Inductive limits in the operator system and related categories 操作者系统及相关类别的感应极限

arXiv: Operator Algebras Pub Date : 2017-05-12 DOI: 10.4064/DM771-4-2018

Linda Mawhinney, I. Todorov

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引用次数: 8

A Combinatorial Approach to the Opposite Bi-Free Partial $S$-Transform 对双自由偏$S$-变换的组合方法

arXiv: Operator Algebras Pub Date : 2017-05-08 DOI: 10.7153/oam-2018-12-22

P. Skoufranis

引用次数: 1

Ultraproducts of crossed product von Neumann algebras 交叉积冯·诺伊曼代数的超积

arXiv: Operator Algebras Pub Date : 2017-05-02 DOI: 10.1215/IJM/1534924828

Reiji Tomatsu

引用次数: 3

Singular MASAs in type III factors and Connes' Bicentralizer Property III型因子中的奇异MASAs和Connes的双中心化性质

arXiv: Operator Algebras Pub Date : 2017-04-24 DOI: 10.2969/ASPM/08010109

Cyril Houdayer, S. Popa

引用次数: 6

Primitive ideals and pure infiniteness of ultragraph $C^*$-algebras 超图C^* -代数的原始理想与纯无穷

arXiv: Operator Algebras Pub Date : 2017-04-16 DOI: 10.4134/JKMS.J170579

H. Larki

引用次数: 9

Morita embeddings for dual operator algebras and dual operator spaces 对偶算子代数和对偶算子空间的森田嵌入

arXiv: Operator Algebras Pub Date : 2017-04-14 DOI: 10.4064/SM170427-15-8

G. Eleftherakis

引用次数: 2

Geometric properties of noncommutative symmetric spaces of measurable operators and unitary matrix ideals 可测算子和幺正矩阵理想的非交换对称空间的几何性质

arXiv: Operator Algebras Pub Date : 2017-04-06 DOI: 10.14708/CM.V57I1.3291

M. Czerwińska, A. Kamińska

{"title":"Geometric properties of noncommutative symmetric spaces of measurable operators and unitary matrix ideals","authors":"M. Czerwińska, A. Kamińska","doi":"10.14708/CM.V57I1.3291","DOIUrl":"https://doi.org/10.14708/CM.V57I1.3291","url":null,"abstract":"This is a survey article of geometric properties of noncommutative symmetric spaces of measurable operators $E(mathcal{M},tau)$, where $mathcal{M}$ is a semifinite von Neumann algebra with a faithful, normal, semifinite trace $tau$, and $E$ is a symmetric function space. If $Esubset c_0$ is a symmetric sequence space then the analogous properties in the unitary matrix ideals $C_E$ are also presented. In the preliminaries we provide basic definitions and concepts illustrated by some examples and occasional proofs. In particular we list and discuss the properties of general singular value function, submajorization in the sense of Hardy, Littlewood and Polya, Kothe duality, the spaces $L_p(mathcal{M},tau)$, $1le p<infty$, the identification between $C_E$ and $G(B(H), rm{tr})$ for some symmetric function space $G$, the commutative case when $E$ is identified with $E(mathcal{N}, tau)$ for $mathcal{N}$ isometric to $L_infty$ with the standard integral trace, trace preserving $*$-isomorphisms between $E$ and a $*$-subalgebra of $E(mathcal{M},tau)$, and a general method of removing the assumption of non-atomicity of $mathcal{M}$. The main results on geometric properties are given in separate sections. We present the results on (complex) extreme points, (complex) strict convexity, strong extreme points and midpoint local uniform convexity, $k$-extreme points and $k$-convexity, (complex or local) uniform convexity, smoothness and strong smoothness, (strongly) exposed points, (uniform) Kadec-Klee properties, Banach-Saks properties, Radon-Nikodým property and stability in the sense of Krivine-Maurey. We also state some open problems.","PeriodicalId":351745,"journal":{"name":"arXiv: Operator Algebras","volume":"125 1","pages":"0"},"PeriodicalIF":0.0,"publicationDate":"2017-04-06","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"116166656","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: 11

Fredholm conditions on non-compact manifolds: theory and examples 非紧流形上的Fredholm条件:理论与实例

arXiv: Operator Algebras Pub Date : 2017-03-23 DOI: 10.1007/978-3-319-72449-2_4

C. Carvalho, V. Nistor, Yu Qiao

引用次数: 34

Infinite alphabet edge shift spaces via ultragraphs and their C*-algebras 通过超图及其C*-代数的无限字母边移位空间

arXiv: Operator Algebras Pub Date : 2017-03-15 DOI: 10.1093/IMRN/RNX175

D. Gonccalves, D. Royer

引用次数: 39

Weak type operator Lipschitz and commutator estimates for commuting tuples 交换元组的弱类型算子Lipschitz和交换子估计

arXiv: Operator Algebras Pub Date : 2017-03-09 DOI: 10.5802/AIF.3195

M. Caspers, F. Sukochev, D. Zanin

引用次数: 5