发布求助
文献互助 智能选刊 最新文献

Journal of Operator Theory最新文献

筛选
英文 中文
ℓ1-contractive maps on noncommutative Lp-spaces 非交换lp空间上的1-压缩映射
IF 0.8 4区 数学
Journal of Operator Theory Pub Date : 2019-07-09 DOI: 10.7900/jot.2019oct09.2257
C. Merdy, S. Zadeh
{"title":"ℓ1-contractive maps on noncommutative Lp-spaces","authors":"C. Merdy, S. Zadeh","doi":"10.7900/jot.2019oct09.2257","DOIUrl":"https://doi.org/10.7900/jot.2019oct09.2257","url":null,"abstract":"Let T:Lp(M)→Lp(N) be a bounded operator between two noncommutative Lp-spaces, 1⩽p<∞. We say that T is ℓ1-bounded (respectively ℓ1-contractive) if T⊗Iℓ1 extends to a bounded (respectively contractive) map from Lp(M;ℓ1) into Lp(N;ℓ1). We show that Yeadon's factorization theorem for Lp-isometries, 1⩽p≠2<∞, applies to an isometry T:L2(M)→L2(N) if and only if T is ℓ1-contractive. We also show that a contractive operator T:Lp(M)→Lp(N) is automatically ℓ1-contractive if it satisfies one of the following two conditions: either T is 2-positive; or T is separating, that is, for any disjoint a,b∈Lp(M) (i.e. a∗b=ab∗=0), the images T(a),T(b) are disjoint as well.","PeriodicalId":50104,"journal":{"name":"Journal of Operator Theory","volume":" ","pages":""},"PeriodicalIF":0.8,"publicationDate":"2019-07-09","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"45145824","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: 9
Compact Hankel operators with bounded symbols 具有有界符号的紧致Hankel算子
IF 0.8 4区 数学
Journal of Operator Theory Pub Date : 2019-06-18 DOI: 10.7900/jot.2020apr27.2276
R. Hagger, J. Virtanen
{"title":"Compact Hankel operators with bounded symbols","authors":"R. Hagger, J. Virtanen","doi":"10.7900/jot.2020apr27.2276","DOIUrl":"https://doi.org/10.7900/jot.2020apr27.2276","url":null,"abstract":"We give a new proof of the result that the Hankel operator Hf with a bounded symbol is compact on standard weighted Fock spaces F2α(Cn) if and only if H¯¯¯f is compact. Our proof uses limit operator techniques and extends to Fpα(Cn) when $1","PeriodicalId":50104,"journal":{"name":"Journal of Operator Theory","volume":" ","pages":""},"PeriodicalIF":0.8,"publicationDate":"2019-06-18","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"44892881","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: 11
On spectral analysis of self-adjoint Toeplitz operators 自伴Toeplitz算子的谱分析
IF 0.8 4区 数学
Journal of Operator Theory Pub Date : 2019-06-17 DOI: 10.7900/jot.2019jun19.2244
A. Sobolev, D. Yafaev
{"title":"On spectral analysis of self-adjoint Toeplitz operators","authors":"A. Sobolev, D. Yafaev","doi":"10.7900/jot.2019jun19.2244","DOIUrl":"https://doi.org/10.7900/jot.2019jun19.2244","url":null,"abstract":"The paper pursues three objectives. Firstly, we provide an expanded version of spectral analysis of self-adjoint Toeplitz operators, initially built by M. Rosenblum in the 1960's. We offer some improvements to Rosenblum's approach: for instance, our proof of the absolute continuity, relying on a weak version of the limiting absorption principle, is more direct. \u0000Secondly, we study in detail Toeplitz operators with finite spectral multiplicity. In particular, we introduce generalized eigenfunctions and investigate their properties. \u0000Thirdly, we develop a more detailed spectral analysis for piecewise continuous symbols. This is necessary for construction of scattering theory for Toeplitz operators with such symbols.","PeriodicalId":50104,"journal":{"name":"Journal of Operator Theory","volume":" ","pages":""},"PeriodicalIF":0.8,"publicationDate":"2019-06-17","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"48794894","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: 2
Groupoid algebras as covariance algebras 作为协方差代数的群代数
IF 0.8 4区 数学
Journal of Operator Theory Pub Date : 2019-06-07 DOI: 10.7900/jot.2019aug22.2266
L. O. Clark, James Fletcher
{"title":"Groupoid algebras as covariance algebras","authors":"L. O. Clark, James Fletcher","doi":"10.7900/jot.2019aug22.2266","DOIUrl":"https://doi.org/10.7900/jot.2019aug22.2266","url":null,"abstract":"Suppose G is a second-countable locally compact Hausdorff '{e}tale groupoid, G is a discrete group containing a unital subsemigroup P, and c:G→G is a continuous cocycle. We derive conditions on the cocycle such that the reduced groupoid C∗-algebra C∗r(G) may be realised as the covariance algebra of a product system over P with coefficient algebra C∗r(c−1(e)). When (G,P) is a quasi-lattice ordered group, we also derive conditions that allow C∗r(G) to be realised as the Cuntz--Nica--Pimsner algebra of a compactly aligned product system.","PeriodicalId":50104,"journal":{"name":"Journal of Operator Theory","volume":" ","pages":""},"PeriodicalIF":0.8,"publicationDate":"2019-06-07","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"46093008","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: 3
Von Neumann type trace inequalities for Schatten-class operators Schatten类算子的Von-Neumann型迹不等式
IF 0.8 4区 数学
Journal of Operator Theory Pub Date : 2019-06-03 DOI: 10.7900/jot.2019jun03.2241
G. Dirr, F. V. Ende
{"title":"Von Neumann type trace inequalities for Schatten-class operators","authors":"G. Dirr, F. V. Ende","doi":"10.7900/jot.2019jun03.2241","DOIUrl":"https://doi.org/10.7900/jot.2019jun03.2241","url":null,"abstract":"We generalize von Neumann's well-known trace inequality, as well as related eigenvalue inequalities for hermitian matrices, to Schatten-class operators between complex Hilbert spaces of infinite dimension. To this end, we exploit some recent results on the $C$-numerical range of Schatten-class operators. For the readers' convenience, we sketched the proof of these results in the Appendix.","PeriodicalId":50104,"journal":{"name":"Journal of Operator Theory","volume":" ","pages":""},"PeriodicalIF":0.8,"publicationDate":"2019-06-03","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"43287434","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: 1
A note on crossed products of rotation algebras 关于旋转代数的交叉积的注记
IF 0.8 4区 数学
Journal of Operator Theory Pub Date : 2019-05-29 DOI: 10.7900/JOT.2019SEP08.2283
Christian Bonicke, Sayan Chakraborty, Zhuofeng He, Hung-Chang Liao
{"title":"A note on crossed products of rotation algebras","authors":"Christian Bonicke, Sayan Chakraborty, Zhuofeng He, Hung-Chang Liao","doi":"10.7900/JOT.2019SEP08.2283","DOIUrl":"https://doi.org/10.7900/JOT.2019SEP08.2283","url":null,"abstract":"We compute the K-theory of crossed products of rotation algebras Aθ, for any real angle θ, by matrices in SL(2,Z) with infinite order. Using techniques of continuous fields, we show that the canonical inclusion of Aθ into the crossed products is injective at the level of K0-groups. We then give an explicit set of generators for the K0-groups and compute the tracial ranges concretely.","PeriodicalId":50104,"journal":{"name":"Journal of Operator Theory","volume":" ","pages":""},"PeriodicalIF":0.8,"publicationDate":"2019-05-29","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"45018526","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
Toeplitz operators and skew Carleson measures for weighted Bergman spaces on strongly pseudoconvex domains 强伪凸域上加权Bergman空间的Toeplitz算子和偏斜Carleson测度
IF 0.8 4区 数学
Journal of Operator Theory Pub Date : 2019-05-29 DOI: 10.7900/jot.2019jun03.2260
M. Abate, Samuele Mongodi, Jasmin Raissy
{"title":"Toeplitz operators and skew Carleson measures for weighted Bergman spaces on strongly pseudoconvex domains","authors":"M. Abate, Samuele Mongodi, Jasmin Raissy","doi":"10.7900/jot.2019jun03.2260","DOIUrl":"https://doi.org/10.7900/jot.2019jun03.2260","url":null,"abstract":"In this paper we study mapping properties of Toeplitz-like operators on weighted Bergman spaces of bounded strongly pseudconvex domains in $mathbb{C}^n$. In particular we prove that a Toeplitz operator built using as kernel a weighted Bergman kernel of weight $beta$ and integrating against a measure $mu$ maps continuously (when $beta$ is large enough) a weighted Bergman space $A^{p_1}_{alpha_1}(D)$ into a weighted Bergman space $A^{p_2}_{alpha_2}(D)$ if and only if $mu$ is a $(lambda,gamma)$-skew Carleson measure, where $lambda=1+frac{1}{p_1}-frac{1}{p_2}$ and $gamma=frac{1}{lambda}left(beta+frac{alpha_1}{p_1}-frac{alpha_2}{p_2}right)$. This theorem generalizes results obtained by Pau and Zhao on the unit ball, and extends and makes more precise results obtained by Abate, Raissy and Saracco on a smaller class of Toeplitz operators on bounded strongly pseudoconvex domains.","PeriodicalId":50104,"journal":{"name":"Journal of Operator Theory","volume":" ","pages":""},"PeriodicalIF":0.8,"publicationDate":"2019-05-29","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"43852088","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: 7
A Beurling theorem for almost-invariant subspaces of the shift operator 移位算子的几乎不变子空间的一个Beurling定理
IF 0.8 4区 数学
Journal of Operator Theory Pub Date : 2019-05-15 DOI: 10.7900/jot.2018sep25.2231
I. Chalendar, Eva A. Gallardo-Guti'errez, J. Partington
{"title":"A Beurling theorem for almost-invariant subspaces of the shift operator","authors":"I. Chalendar, Eva A. Gallardo-Guti'errez, J. Partington","doi":"10.7900/jot.2018sep25.2231","DOIUrl":"https://doi.org/10.7900/jot.2018sep25.2231","url":null,"abstract":"A complete characterization of nearly-invariant subspaces of finite defect for the backward shift operator acting on the Hardy space is provided in the spirit of Hitt and Sarason's theorems. As a corollary we describe the almost-invariant subspaces for the shift and its adjoint.","PeriodicalId":50104,"journal":{"name":"Journal of Operator Theory","volume":" ","pages":""},"PeriodicalIF":0.8,"publicationDate":"2019-05-15","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"43833221","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: 9
Orbit equivalence of higher-rank graphs 高阶图的轨道等价
IF 0.8 4区 数学
Journal of Operator Theory Pub Date : 2019-03-17 DOI: 10.7900/jot.2020may06.2280
T. M. Carlsen, James Rout
{"title":"Orbit equivalence of higher-rank graphs","authors":"T. M. Carlsen, James Rout","doi":"10.7900/jot.2020may06.2280","DOIUrl":"https://doi.org/10.7900/jot.2020may06.2280","url":null,"abstract":"We study the notion of continuous orbit equivalence of finitely-aligned higher-rank graphs. We show that there is a continuous orbit equivalence between two finitely-aligned higher-rank graphs that preserves the periodicity of boundary paths if and only if the boundary path groupoids are isomorphic. We also study eventual one-sided conjugacy of finitely-aligned higher-rank graphs and two-sided conjugacy of row-finite higher-rank graphs.","PeriodicalId":50104,"journal":{"name":"Journal of Operator Theory","volume":" ","pages":""},"PeriodicalIF":0.8,"publicationDate":"2019-03-17","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"48749618","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: 1
Functorial properties of Extu(⋅,B) when B is simple with continuous scale 当B为简单连续尺度时exu(⋅，B)的函子性质
IF 0.8 4区 数学
Journal of Operator Theory Pub Date : 2019-03-15 DOI: 10.7900/jot.2018mar18.2223
P. W. Ng, Tracy Robin
{"title":"Functorial properties of Extu(⋅,B) when B is simple with continuous scale","authors":"P. W. Ng, Tracy Robin","doi":"10.7900/jot.2018mar18.2223","DOIUrl":"https://doi.org/10.7900/jot.2018mar18.2223","url":null,"abstract":"In this note we define two functors Ext and Extu which capture unitary equivalence classes of extensions in a manner which is finer than KK1. We prove that for every separable nuclear C∗-algebra A, and for every σ-unital nonunital simple continuous scale C∗-algebra B, Ext(A,B) is an abelian group. We have a similar result for Extu. We study some functorial properties of the covariant functor X↦Extu(C(X),B), where X ranges over the category of compact metric spaces.","PeriodicalId":50104,"journal":{"name":"Journal of Operator Theory","volume":" ","pages":""},"PeriodicalIF":0.8,"publicationDate":"2019-03-15","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"44472024","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: 9
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：481959085
Book学术官方微信