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Annals of Functional Analysis最新文献

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Trace cohomology revisited 迹上同调重新审视
IF 1.2 3区 数学
Annals of Functional Analysis Pub Date : 2025-02-27 DOI: 10.1007/s43034-025-00414-8
Igor V. Nikolaev
{"title":"Trace cohomology revisited","authors":"Igor V. Nikolaev","doi":"10.1007/s43034-025-00414-8","DOIUrl":"10.1007/s43034-025-00414-8","url":null,"abstract":"<div><p>We use a cohomology theory coming from the canonical trace on a <span>(C^*)</span>-algebra of the projective variety to prove an analog of the Riemann Hypothesis for the Kuga–Sato varieties.</p></div>","PeriodicalId":48858,"journal":{"name":"Annals of Functional Analysis","volume":"16 2","pages":""},"PeriodicalIF":1.2,"publicationDate":"2025-02-27","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"143513097","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
Compact imbedding theorems in Musielak spaces Musielak空间中的紧嵌入定理
IF 1.2 3区 数学
Annals of Functional Analysis Pub Date : 2025-02-23 DOI: 10.1007/s43034-025-00410-y
Youssef Ahmida, Ahmed Youssfi
{"title":"Compact imbedding theorems in Musielak spaces","authors":"Youssef Ahmida,&nbsp;Ahmed Youssfi","doi":"10.1007/s43034-025-00410-y","DOIUrl":"10.1007/s43034-025-00410-y","url":null,"abstract":"<div><p>We provide compact imbedding results for Musielak–Sobolev spaces built on smooth bounded domains from Musielak functions, on which we impose, among others, natural integral conditions that extend those used in the framework of Orlicz spaces. We obtain the Rellich–Kondrachov theorem for regular Musielak functions. We then apply the results obtained to get a Poincaré-type inequality in Musielak spaces, which we use to solve a class of nonlinear elliptic problems.</p></div>","PeriodicalId":48858,"journal":{"name":"Annals of Functional Analysis","volume":"16 2","pages":""},"PeriodicalIF":1.2,"publicationDate":"2025-02-23","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"143475139","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
The symmetry action of a von Neumann algebra and its associated involutive L-algebra 冯诺依曼代数及其相关对合l代数的对称作用
IF 1.2 3区 数学
Annals of Functional Analysis Pub Date : 2025-02-20 DOI: 10.1007/s43034-025-00412-w
Wolfgang Rump
{"title":"The symmetry action of a von Neumann algebra and its associated involutive L-algebra","authors":"Wolfgang Rump","doi":"10.1007/s43034-025-00412-w","DOIUrl":"10.1007/s43034-025-00412-w","url":null,"abstract":"<div><p>Involutive <i>L</i>-algebras are introduced as a class of <i>L</i>-algebras <i>X</i> which embed into a factor group <i>G</i> of their structure group, so that <i>X</i> generates <i>G</i> and coincides with the set of involutions of <i>G</i>. A particular case exists for every group generated by involutions. In previous work it was shown that the projection lattice of a von Neumann algebra is an <i>L</i>-algebra which is determined, up to isomorphism, by the structure group of this <i>L</i>-algebra. Extending this result, an involutive <i>L</i>-algebra is associated to any von Neumann algebra as a complete invariant. In particular, it is proved that involutive <i>L</i>-algebras admit a self-action by involutive automorphisms which canonically extends to a self-action of the structure group. Several examples are considered, including those which give rise to non-degenerate involutive solutions to the set-theoretic Yang–Baxter equation.</p></div>","PeriodicalId":48858,"journal":{"name":"Annals of Functional Analysis","volume":"16 2","pages":""},"PeriodicalIF":1.2,"publicationDate":"2025-02-20","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"143455451","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
Semigroups of composition operators on the Besov spaces Besov空间上复合算子的半群
IF 1.2 3区 数学
Annals of Functional Analysis Pub Date : 2025-02-17 DOI: 10.1007/s43034-025-00411-x
Renyu Chen, Yali Dong
{"title":"Semigroups of composition operators on the Besov spaces","authors":"Renyu Chen,&nbsp;Yali Dong","doi":"10.1007/s43034-025-00411-x","DOIUrl":"10.1007/s43034-025-00411-x","url":null,"abstract":"<div><p>In this paper, we characterize the strong continuity of composition semigroups on analytic Besov spaces <span>(B_{p}(1&lt;p&lt;infty ).)</span> First, we show that every semigroup of composition operators <span>({C_{varphi _{t}}})</span> are strongly continuous on <span>(B_{p}(2le p&lt;infty ).)</span> However, we can find a semigroup <span>({varphi _t})</span> such that the induced composition operator <span>(C_{varphi _t})</span> is not even bounded on <span>(B_p(1&lt;p&lt;2).)</span> We contribute novel counterexamples grounded in the geometric properties of the image domain of Kœnigs function to illustrate this point. Moreover, we provide a sufficient condition ensuring the strong continuity of any semigroup of composition operators in <span>(B_{p}(1&lt;p&lt;infty ).)</span> Additionally, we establish that <span>({C_{varphi _{t}}})</span> is not uniformly continuous on <span>(B_{p}(1&lt;p&lt;infty ),)</span> unless <span>({varphi _{t}})</span> is trivial.</p></div>","PeriodicalId":48858,"journal":{"name":"Annals of Functional Analysis","volume":"16 2","pages":""},"PeriodicalIF":1.2,"publicationDate":"2025-02-17","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"143430996","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
Superreflexive tensor product spaces 超自反张量积空间
IF 1.2 3区 数学
Annals of Functional Analysis Pub Date : 2025-02-08 DOI: 10.1007/s43034-025-00408-6
Abraham Rueda Zoca
{"title":"Superreflexive tensor product spaces","authors":"Abraham Rueda Zoca","doi":"10.1007/s43034-025-00408-6","DOIUrl":"10.1007/s43034-025-00408-6","url":null,"abstract":"<div><p>The aim of this note is to prove that, given two superreflexive Banach spaces <i>X</i> and <i>Y</i>, then <span>(Xwidehat{otimes }_pi Y)</span> is superreflexive if and only if either <i>X</i> or <i>Y</i> is finite-dimensional. In a similar way, we prove that <span>(Xwidehat{otimes }_varepsilon Y)</span> is superreflexive if and only if either <i>X</i> or <i>Y</i> is finite-dimensional.</p></div>","PeriodicalId":48858,"journal":{"name":"Annals of Functional Analysis","volume":"16 2","pages":""},"PeriodicalIF":1.2,"publicationDate":"2025-02-08","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"https://link.springer.com/content/pdf/10.1007/s43034-025-00408-6.pdf","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"143370007","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":3,"RegionCategory":"数学","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"OA","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
引用次数: 0
On the exactness of groupoid crossed products 关于群拟交叉积的精确性
IF 1.2 3区 数学
Annals of Functional Analysis Pub Date : 2025-02-07 DOI: 10.1007/s43034-025-00409-5
Changyuan Gao
{"title":"On the exactness of groupoid crossed products","authors":"Changyuan Gao","doi":"10.1007/s43034-025-00409-5","DOIUrl":"10.1007/s43034-025-00409-5","url":null,"abstract":"<div><p>Let <span>(({mathcal {A}},G,alpha ))</span> be a separable groupoid <span>(C^*)</span>-dynamical system and <span>(C_0(G^{(0)},{mathcal {A}}))</span> the <span>(C^*)</span>-algebra of continuous sections that vanish at infinity. When <span>(({mathcal {A}},G,alpha ))</span> has the approximation property, we prove that the crossed product <span>({mathcal {A}}rtimes _{alpha ,r}G)</span> is exact if and only if <span>(C_0(G^{(0)},{mathcal {A}}))</span> is exact. In particular, if <i>G</i> is topologically amenable and <span>(C_0(G^{(0)},{mathcal {A}}))</span> is exact, then <span>({mathcal {A}}rtimes _{alpha ,r}G)</span> is exact.</p></div>","PeriodicalId":48858,"journal":{"name":"Annals of Functional Analysis","volume":"16 2","pages":""},"PeriodicalIF":1.2,"publicationDate":"2025-02-07","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"143361911","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
Maps preserving certain orthogonality of operators on (mathcal {B(H)}) 上的算子保持一定正交性的映射 (mathcal {B(H)})
IF 1.2 3区 数学
Annals of Functional Analysis Pub Date : 2025-02-07 DOI: 10.1007/s43034-025-00406-8
Jingzhou Han, Weijuan Shi, Guoxing Ji
{"title":"Maps preserving certain orthogonality of operators on (mathcal {B(H)})","authors":"Jingzhou Han,&nbsp;Weijuan Shi,&nbsp;Guoxing Ji","doi":"10.1007/s43034-025-00406-8","DOIUrl":"10.1007/s43034-025-00406-8","url":null,"abstract":"<div><p>Let <span>({mathcal {H}})</span> be a complex Hilbert space of dimension at least 3 and <span>(mathcal {B(H)})</span> the algebra of all bounded linear operators on <span>({mathcal {H}})</span>. For any <span>(A, Bin {mathcal {B}}({mathcal {H}}))</span>, <i>A</i> and <i>B</i> are said to be orthogonal if <span>(A^*B=0)</span>. In this paper, we establish the general form of orthogonality preserving bijections on <span>(mathcal {B(H)})</span>. Furthermore, we obtain a characterization of bijections <span>(varphi :mathcal {B(H)}rightarrow mathcal {B(H)})</span> satisfying <span>(varphi (A)bot (varphi (B)-varphi (C)))</span> if and only if <span>(Abot (B-C))</span> for any <span>(A,B,Cin mathcal {B(H)})</span>.</p></div>","PeriodicalId":48858,"journal":{"name":"Annals of Functional Analysis","volume":"16 2","pages":""},"PeriodicalIF":1.2,"publicationDate":"2025-02-07","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"143361912","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
Several unitarily invariant norm inequalities for matrices 矩阵的几个酉不变范数不等式
IF 1.2 3区 数学
Annals of Functional Analysis Pub Date : 2025-02-02 DOI: 10.1007/s43034-025-00407-7
Junjian Yang, Shengyan Ma
{"title":"Several unitarily invariant norm inequalities for matrices","authors":"Junjian Yang,&nbsp;Shengyan Ma","doi":"10.1007/s43034-025-00407-7","DOIUrl":"10.1007/s43034-025-00407-7","url":null,"abstract":"<div><p>In this short note, we obtain several inequalities for unitarily invariant norms which are generalizations of the results shown by Zou et al. [Linear Algebra Appl. 562 (2019) 154–162] and [J. Math. Inequal. 10 (2016) 1119–1122]. At the same time, we generalize a result by Audenaert [Oper. Matrices. 9 (2015) 475–479].</p></div>","PeriodicalId":48858,"journal":{"name":"Annals of Functional Analysis","volume":"16 2","pages":""},"PeriodicalIF":1.2,"publicationDate":"2025-02-02","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"143107932","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
Factorization of Bloch mappings through a Hilbert space 希尔伯特空间中Bloch映射的分解
IF 1.2 3区 数学
Annals of Functional Analysis Pub Date : 2025-01-24 DOI: 10.1007/s43034-024-00404-2
M. G. Cabrera-Padilla, A. Jiménez-Vargas, D. Ruiz-Casternado
{"title":"Factorization of Bloch mappings through a Hilbert space","authors":"M. G. Cabrera-Padilla,&nbsp;A. Jiménez-Vargas,&nbsp;D. Ruiz-Casternado","doi":"10.1007/s43034-024-00404-2","DOIUrl":"10.1007/s43034-024-00404-2","url":null,"abstract":"<div><p>We introduce the concept of vector-valued holomorphic mappings on the complex unit disk that factor through a Hilbert space and state the main properties of the space formed by such Bloch mappings equipped with a natural norm: linearization, Bloch transposition, surjective and injective Banach ideal property, Kwapień-type characterization by Bloch domination, and duality.</p></div>","PeriodicalId":48858,"journal":{"name":"Annals of Functional Analysis","volume":"16 2","pages":""},"PeriodicalIF":1.2,"publicationDate":"2025-01-24","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"143109317","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
The core operator on (M^{2}_{psi ,phi })-type submodules and (N^{2}_{psi ,phi })-type quotient modules over the bidisk biddisk上(M^{2}_{psi ,phi })型子模块和(N^{2}_{psi ,phi })型商模块的核心算子
IF 1.2 3区 数学
Annals of Functional Analysis Pub Date : 2025-01-20 DOI: 10.1007/s43034-024-00405-1
Anjian Xu, Dengping Zhang
{"title":"The core operator on (M^{2}_{psi ,phi })-type submodules and (N^{2}_{psi ,phi })-type quotient modules over the bidisk","authors":"Anjian Xu,&nbsp;Dengping Zhang","doi":"10.1007/s43034-024-00405-1","DOIUrl":"10.1007/s43034-024-00405-1","url":null,"abstract":"<div><p>Let <span>(H^{2}(mathbb {D}^{2}))</span> be the Hardy module over the bidisc, and <span>(M^{2}_{psi ,phi })</span> the submodule generated by <span>((psi (z)-phi (w))^{2})</span>, where <span>(psi )</span> and <span>(phi )</span> are two inner functions. Let <span>(N^{2}_{psi ,phi }=H^2(mathbb {D}^2)ominus M^{2}_{psi ,phi })</span> be the corresponding quotient module. The submodules and quotient modules are important objects in multivariable operator theory; Wu and Yu have shown that <span>(N^{2}_{psi ,phi })</span> is essential normal. In this paper, the core operator of the submodule <span>(M^{2}_{psi ,phi }=[(psi (z)-phi (w))^{2}])</span> is proved to be Hilbert–Schmidt, and its norm is computed. Furthermore, the Hilbert–Schmidt norms of the commutators <span>([S_{z}^{*},S_{z}])</span>, <span>([S_{z}^{*},S_{w}])</span> and <span>([S_{w}^{*},S_{w}])</span> on <span>(N^{2}_{psi ,phi })</span> are given.</p></div>","PeriodicalId":48858,"journal":{"name":"Annals of Functional Analysis","volume":"16 2","pages":""},"PeriodicalIF":1.2,"publicationDate":"2025-01-20","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"142995081","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
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