发布求助
文献互助 智能选刊 最新文献

Annals of Functional Analysis最新文献

筛选
英文 中文
Schur inequality for Murray–von Neumann algebras and its applications 墨累-冯-诺依曼代数的舒尔不等式及其应用
IF 1 3区 数学
Annals of Functional Analysis Pub Date : 2024-04-18 DOI: 10.1007/s43034-024-00347-8
Shavkat Ayupov, Jinghao Huang, Karimbergen Kudaybergenov
{"title":"Schur inequality for Murray–von Neumann algebras and its applications","authors":"Shavkat Ayupov, Jinghao Huang, Karimbergen Kudaybergenov","doi":"10.1007/s43034-024-00347-8","DOIUrl":"https://doi.org/10.1007/s43034-024-00347-8","url":null,"abstract":"<p>In this paper, we present a version of the Schur inequality in the setting of Murray–von Neumann algebras, extending a result by Arveson and Kadison. We also describe the ring isomorphisms between <span>(*)</span>-subalgebras of two Murray–von Neumann algebras. A short proof of the commutator estimation theorem for Murray–von Neumann algebras is given as an easy application.</p>","PeriodicalId":48858,"journal":{"name":"Annals of Functional Analysis","volume":null,"pages":null},"PeriodicalIF":1.0,"publicationDate":"2024-04-18","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"140624616","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":3,"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 with monomial symbols on the Dirichlet spaces 狄利克空间上具有单项式符号的托普利兹算子
IF 1 3区 数学
Annals of Functional Analysis Pub Date : 2024-04-17 DOI: 10.1007/s43034-024-00346-9
Sumin Kim, Jongrak Lee
{"title":"Toeplitz operators with monomial symbols on the Dirichlet spaces","authors":"Sumin Kim, Jongrak Lee","doi":"10.1007/s43034-024-00346-9","DOIUrl":"https://doi.org/10.1007/s43034-024-00346-9","url":null,"abstract":"<p>In this paper, we are concerned with the various properties of the Toeplitz operators acting on the Dirichlet spaces. First, we consider the matrix representation of Toeplitz operators with harmonic and monomial symbols. Second, we establish the expansivity and contractivity of the Toeplitz operators <span>(T_{varphi })</span> with monomial symbols <span>(varphi )</span>. Third, we give a necessary and sufficient conditions for the normality and hyponormality of the Toeplitz operators <span>(T_{varphi })</span> with such symbols on the Dirichlet spaces.</p>","PeriodicalId":48858,"journal":{"name":"Annals of Functional Analysis","volume":null,"pages":null},"PeriodicalIF":1.0,"publicationDate":"2024-04-17","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"140617265","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":3,"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
Dixmier-type traces on symmetric spaces associated with semifinite von Neumann algebras 与半有限 von Neumann 对象相关的对称空间上的 Dixmier 型痕迹
IF 1 3区 数学
Annals of Functional Analysis Pub Date : 2024-04-16 DOI: 10.1007/s43034-024-00343-y
Galina Levitina, Alexandr Usachev
{"title":"Dixmier-type traces on symmetric spaces associated with semifinite von Neumann algebras","authors":"Galina Levitina, Alexandr Usachev","doi":"10.1007/s43034-024-00343-y","DOIUrl":"https://doi.org/10.1007/s43034-024-00343-y","url":null,"abstract":"<p>We prove that a normalised linear functional on certain symmetric spaces associated with a semifinite von Neumann algebra, respects tail majorisation if and only if it is a Dixmier-type trace.</p>","PeriodicalId":48858,"journal":{"name":"Annals of Functional Analysis","volume":null,"pages":null},"PeriodicalIF":1.0,"publicationDate":"2024-04-16","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"140586699","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":3,"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
New properties and existence of exact phase-retrievable g-frames 精确相位可检索 g 帧的新特性和存在性
IF 1 3区 数学
Annals of Functional Analysis Pub Date : 2024-04-15 DOI: 10.1007/s43034-024-00345-w
Miao He, Jingsong Leng
{"title":"New properties and existence of exact phase-retrievable g-frames","authors":"Miao He, Jingsong Leng","doi":"10.1007/s43034-024-00345-w","DOIUrl":"https://doi.org/10.1007/s43034-024-00345-w","url":null,"abstract":"<p>Due to the frame elements of the g-frames being operators, it has many differences from traditional frames. Hence some new characterizations of exact phase-retrievable g-frames from the perspective of operator theory are mainly discussed in this paper. Firstly, we find that for an exact phase-retrievable g-frame, its canonical dual frame will maintain the exact phase-retrievability. Then the stability of the exact phase-retrievability is discussed. More specifically, an exact phase-retrievable g-frame is still exact phase-retrievable after a small disturbance can be obtained in this paper. In addition, we show that the direct sum of two g-frames which have the exact PR-redundancy property also have the exact PR-redundancy property. With the help of these results, the existence of the exact phase-retrievable g-frames is discussed. We prove that for the real Hilbert space case, an exact phase-retrievable g-frame of length <i>N</i> exists for every <span>(2n-1le N le frac{n(n+1)}{2}.)</span></p>","PeriodicalId":48858,"journal":{"name":"Annals of Functional Analysis","volume":null,"pages":null},"PeriodicalIF":1.0,"publicationDate":"2024-04-15","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"140586698","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":3,"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
Normalized solutions of linear and nonlinear coupled Choquard systems with potentials 带电势的线性和非线性耦合 Choquard 系统的归一化解
IF 1 3区 数学
Annals of Functional Analysis Pub Date : 2024-04-15 DOI: 10.1007/s43034-024-00348-7
Zhenyu Guo, Wenyan Jin
{"title":"Normalized solutions of linear and nonlinear coupled Choquard systems with potentials","authors":"Zhenyu Guo, Wenyan Jin","doi":"10.1007/s43034-024-00348-7","DOIUrl":"https://doi.org/10.1007/s43034-024-00348-7","url":null,"abstract":"<p>In this paper, we study Choquard systems with linear and nonlinear couplings with different potentials under the <span>(L^2)</span>-constraint. We use Ekland variational principle to prove this system has a normalized radially symmetric solution for <span>(L^2)</span>-subcritical case when the dimension is greater than or equal to 2 without potentials. In addition, a positive solution with prescribed <span>(L^2)</span>-constraint under some appropriate assumptions with the potentials was obtained. The proof is based on the refined energy estimates.</p>","PeriodicalId":48858,"journal":{"name":"Annals of Functional Analysis","volume":null,"pages":null},"PeriodicalIF":1.0,"publicationDate":"2024-04-15","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"140586841","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":3,"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
On the decomposability for sums of complex symmetric operators 论复数对称算子之和的可分解性
IF 1 3区 数学
Annals of Functional Analysis Pub Date : 2024-04-10 DOI: 10.1007/s43034-024-00342-z
Sungeun Jung
{"title":"On the decomposability for sums of complex symmetric operators","authors":"Sungeun Jung","doi":"10.1007/s43034-024-00342-z","DOIUrl":"https://doi.org/10.1007/s43034-024-00342-z","url":null,"abstract":"<p>In this paper, we study decomposability for sums of complex symmetric operators. As applications, we consider decomposable operator matrices.</p>","PeriodicalId":48858,"journal":{"name":"Annals of Functional Analysis","volume":null,"pages":null},"PeriodicalIF":1.0,"publicationDate":"2024-04-10","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"140586700","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":3,"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
Some converse problems on the g-Drazin invertibility in Banach algebras 关于巴拿赫代数中 g-Drazin 反演性的一些逆问题
IF 1 3区 数学
Annals of Functional Analysis Pub Date : 2024-04-09 DOI: 10.1007/s43034-024-00344-x
Honglin Zou
{"title":"Some converse problems on the g-Drazin invertibility in Banach algebras","authors":"Honglin Zou","doi":"10.1007/s43034-024-00344-x","DOIUrl":"https://doi.org/10.1007/s43034-024-00344-x","url":null,"abstract":"<p>The main purpose of this paper is to investigate the converse problems of some well-known results related to the generalized Drazin (g-Drazin for short) inverse in Banach algebras. Let <span>({mathcal {A}})</span> be a Banach algebra and <span>(a,bin {mathcal {A}})</span>. First, we give the relationship between the Drazin (g-Drazin, group) invertibility of <i>a</i>, <i>b</i> and that of the sum <span>(a+b)</span> under certain conditions. Then, for a given polynomial <span>(f(x)in {mathbb {C}}[x])</span>, the g-Drazin invertibility of <i>f</i>(<i>a</i>), <span>(f(a^{d}))</span>, <i>f</i>(<i>ab</i>), <span>(f(1-ab))</span> and <span>(f(a+b))</span> are investigated.</p>","PeriodicalId":48858,"journal":{"name":"Annals of Functional Analysis","volume":null,"pages":null},"PeriodicalIF":1.0,"publicationDate":"2024-04-09","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"140586697","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":3,"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 extension of the weighted geometric mean in unital JB-algebras 单元素 JB 算法中加权几何平均数的扩展
IF 1 3区 数学
Annals of Functional Analysis Pub Date : 2024-04-05 DOI: 10.1007/s43034-024-00330-3
A. G. Ghazanfari, S. Malekinejad, M. Sababheh
{"title":"An extension of the weighted geometric mean in unital JB-algebras","authors":"A. G. Ghazanfari, S. Malekinejad, M. Sababheh","doi":"10.1007/s43034-024-00330-3","DOIUrl":"https://doi.org/10.1007/s43034-024-00330-3","url":null,"abstract":"<p>Let <span>({mathcal {A}})</span> be a unital <i>JB</i>-algebra and <span>(A,Bin {mathcal {A}})</span>. The weighted geometric mean <span>(Asharp _r B)</span> for <span>(A,Bin {mathcal {A}})</span> has been recently defined for <span>(rin [0,1].)</span> In this work, we extend the weighted geometric mean <span>(Asharp _r B)</span>, from <span>(rin [0,1])</span> to <span>(rin (-1, 0)cup (1, 2))</span>. We will notice that many results will be reversed when the domain of <i>r</i> change from [0, 1] to <span>((-1,0))</span> or (1, 2). We also introduce the Heinz and Heron means of elements in <span>({mathcal {A}})</span>, and extend some known inequalities involving them.</p>","PeriodicalId":48858,"journal":{"name":"Annals of Functional Analysis","volume":null,"pages":null},"PeriodicalIF":1.0,"publicationDate":"2024-04-05","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"140586844","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":3,"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
Geometric constant for quantifying the difference between angular and skew angular distances in Banach spaces 量化巴拿赫空间中角距和斜角距差异的几何常数
IF 1 3区 数学
Annals of Functional Analysis Pub Date : 2024-04-05 DOI: 10.1007/s43034-024-00341-0
Yuankang Fu, Yongjin Li
{"title":"Geometric constant for quantifying the difference between angular and skew angular distances in Banach spaces","authors":"Yuankang Fu, Yongjin Li","doi":"10.1007/s43034-024-00341-0","DOIUrl":"https://doi.org/10.1007/s43034-024-00341-0","url":null,"abstract":"<p>This article is devoted to introduce a new geometric constant called Dehghan–Rooin constant, which quantifies the difference between angular and skew angular distances in Banach spaces. We quantify the characterization of uniform non-squareness in terms of Dehghan–Rooin constant. The relationships between Dehghan–Rooin constant and uniform convexity, Dehghan-Rooin constant and uniform smoothness are also studied. Moreover, some new sufficient conditions for uniform normal structure are also established in terms of Dehghan–Rooin constant.</p>","PeriodicalId":48858,"journal":{"name":"Annals of Functional Analysis","volume":null,"pages":null},"PeriodicalIF":1.0,"publicationDate":"2024-04-05","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"140586695","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":3,"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
Hölder continuity of the gradients for non-homogenous elliptic equations of p(x)-Laplacian type p(x)-Laplacian 型非同质椭圆方程梯度的荷尔德连续性
IF 1 3区 数学
Annals of Functional Analysis Pub Date : 2024-04-05 DOI: 10.1007/s43034-024-00340-1
Fengping Yao
{"title":"Hölder continuity of the gradients for non-homogenous elliptic equations of p(x)-Laplacian type","authors":"Fengping Yao","doi":"10.1007/s43034-024-00340-1","DOIUrl":"https://doi.org/10.1007/s43034-024-00340-1","url":null,"abstract":"<p>The main goal of this paper is to discuss the local Hölder continuity of the gradients for weak solutions of the following non-homogenous elliptic <i>p</i>(<i>x</i>)-Laplacian equations of divergence form </p><span>$$begin{aligned} text {div} left( left( A(x) nabla u(x) cdot nabla u(x) right) ^{frac{p(x)-2}{2}} A(x) nabla u(x) right) = text {div} left( |textbf{f}(x) |^{p(x)-2} textbf{f}(x) right) ~~ text{ in }~ Omega , end{aligned}$$</span><p>where <span>(Omega subset mathbb {R}^{n})</span> is an open bounded domain for <span>(n ge 2)</span>, under some proper non-Hölder conditions on the variable exponents <i>p</i>(<i>x</i>) and the coefficients matrix <i>A</i>(<i>x</i>).</p>","PeriodicalId":48858,"journal":{"name":"Annals of Functional Analysis","volume":null,"pages":null},"PeriodicalIF":1.0,"publicationDate":"2024-04-05","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"140586842","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":3,"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：481959085
Book学术官方微信