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Annals of Functional Analysis最新文献

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Several unitarily invariant norm inequalities for matrices
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
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
Inheritance of certain comparison and divisibility properties for generalized tracially approximated C*-algebras 广义迹逼近C*-代数的某些比较和可除性质的继承
IF 1.2 3区 数学
Annals of Functional Analysis Pub Date : 2025-01-12 DOI: 10.1007/s43034-024-00399-w
Xiaochun Fang, Zhongli Wang
{"title":"Inheritance of certain comparison and divisibility properties for generalized tracially approximated C*-algebras","authors":"Xiaochun Fang,&nbsp;Zhongli Wang","doi":"10.1007/s43034-024-00399-w","DOIUrl":"10.1007/s43034-024-00399-w","url":null,"abstract":"<div><p>Let <span>(Omega )</span> be a class of C*-algebras with the <i>m</i>-comparison property (respectively, the <i>n</i>-almost divisibility property, the weakly (<i>k</i>, <i>n</i>)-divisibility property). We show that any infinite-dimensional simple unital C*-algebra in the class GTA<span>(Omega )</span> (the class of C*-algebras which can be generalized tracially approximated by the C*-algebras in <span>(Omega )</span>) has <i>m</i>-comparison (respectively, is <span>((2n+1))</span>-almost divisible, is weakly (<i>k</i>, 2<i>n</i>)-divisible).</p></div>","PeriodicalId":48858,"journal":{"name":"Annals of Functional Analysis","volume":"16 1","pages":""},"PeriodicalIF":1.2,"publicationDate":"2025-01-12","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"142963089","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
Isometric automorphisms of some reflexive algebras 一些自反代数的等距自同构
IF 1.2 3区 数学
Annals of Functional Analysis Pub Date : 2025-01-09 DOI: 10.1007/s43034-024-00400-6
Zhujun Yang, Hongjie Chen
{"title":"Isometric automorphisms of some reflexive algebras","authors":"Zhujun Yang,&nbsp;Hongjie Chen","doi":"10.1007/s43034-024-00400-6","DOIUrl":"10.1007/s43034-024-00400-6","url":null,"abstract":"<div><p>We construct a class of subspace lattices <span>({mathcal {L}})</span> on a separable infinite dimensional Hilbert space <span>(mathcal {K})</span>. Let <span>({{,textrm{Alg},}}{mathcal {L}})</span> be the corresponding subspace lattice algebras. We show that every isometric automorphism of <span>({{,textrm{Alg},}}{mathcal {L}})</span> is spatial. We also show that <span>({{,textrm{Alg},}}{mathcal {L}})</span> are decomposable, and an operator in <span>({{,textrm{Alg},}}{mathcal {L}})</span> is single if and only if it is rank 1 under certain conditions.</p></div>","PeriodicalId":48858,"journal":{"name":"Annals of Functional Analysis","volume":"16 1","pages":""},"PeriodicalIF":1.2,"publicationDate":"2025-01-09","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"142939283","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
Essential norm of Hankel operators on weighted Bergman spaces of strongly pseudoconvex domains 强伪凸域加权Bergman空间上Hankel算子的本质范数
IF 1.2 3区 数学
Annals of Functional Analysis Pub Date : 2025-01-08 DOI: 10.1007/s43034-024-00403-3
Zhicheng Zeng, Xiaofeng Wang, Jin Xia
{"title":"Essential norm of Hankel operators on weighted Bergman spaces of strongly pseudoconvex domains","authors":"Zhicheng Zeng,&nbsp;Xiaofeng Wang,&nbsp;Jin Xia","doi":"10.1007/s43034-024-00403-3","DOIUrl":"10.1007/s43034-024-00403-3","url":null,"abstract":"<div><p>Let <span>(rho )</span> be the defining function of a bounded strongly pseudoconvex domain <i>D</i> with smooth boundary in <span>({mathbb {C}}^n)</span>. In this paper, we study the essential norm of Hankel operators <span>(H^beta _f)</span> which are considered as operators from weighted Bergman spaces <span>(A^p(D,|rho |^alpha ,dV))</span> to <span>(L^q(D,|rho |^beta ,dV))</span> with <span>(1&lt;ple q&lt;infty )</span> and <span>(-1&lt;alpha ,beta &lt;infty )</span>. For <span>(fin L^1(D,|rho |^beta ,dV))</span>, we obtain some quantities in terms of the symbol function <i>f</i>, which are comparable to the essential norm of the Hankel operator <span>(H^beta _f)</span>. Furthermore, it is shown that the essential norm of <span>(H^beta _f)</span> is equivalent to the distance norm from itself to compact Hankel operators.</p></div>","PeriodicalId":48858,"journal":{"name":"Annals of Functional Analysis","volume":"16 1","pages":""},"PeriodicalIF":1.2,"publicationDate":"2025-01-08","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"142938673","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 characterization of Hankel-(K{M_p}) spaces in terms of the Zemanian differential operator 用泽曼微分算子描述Hankel- (K{M_p})空间
IF 1.2 3区 数学
Annals of Functional Analysis Pub Date : 2025-01-07 DOI: 10.1007/s43034-024-00401-5
Samuel García-Baquerín, Isabel Marrero
{"title":"On the characterization of Hankel-(K{M_p}) spaces in terms of the Zemanian differential operator","authors":"Samuel García-Baquerín,&nbsp;Isabel Marrero","doi":"10.1007/s43034-024-00401-5","DOIUrl":"10.1007/s43034-024-00401-5","url":null,"abstract":"<div><p>For <span>(mu ge -frac{1}{2})</span>, we show that membership in a space <span>(mathcal {K}_mu )</span> of type Hankel-<span>(K{M_p})</span> can be characterized by separate boundedness conditions on a test function and on its <span>(T_{mu , k})</span>-derivatives, where, for every <span>(k in mathbb {N})</span>, <span>(T_{mu , k}=N_{mu +k-1} ldots N_mu )</span> is a suitable iterate of the Zemanian differential operator <span>(N_mu =x^{mu +frac{1}{2}} D_x x^{-mu -frac{1}{2}})</span>, while <span>(T_{mu , 0})</span> corresponds to the identity operator. Besides yielding a new representation for the elements, the (weakly, weakly*, strongly) bounded subsets and the (weakly, weakly*, strongly) convergent sequences in the dual space <span>(mathcal {K}_mu ^{prime })</span>, such a characterization ultimately proves that <span>(mathcal {K}_mu )</span> consists of all those functions in the Zemanian space <span>(mathcal {H}_mu )</span> whose product against every weight in the defining sequence <span>({M_p}_{p=0}^infty )</span> remains bounded.</p></div>","PeriodicalId":48858,"journal":{"name":"Annals of Functional Analysis","volume":"16 1","pages":""},"PeriodicalIF":1.2,"publicationDate":"2025-01-07","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"142939010","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
Hardy–Littlewood maximal operators and generalized Orlicz spaces on measure spaces 测度空间上的Hardy-Littlewood极大算子与广义Orlicz空间
IF 1.2 3区 数学
Annals of Functional Analysis Pub Date : 2025-01-02 DOI: 10.1007/s43034-024-00402-4
Haiyan Zhou, Xiaoqian Song, Songbai Wang, Jiang Zhou
{"title":"Hardy–Littlewood maximal operators and generalized Orlicz spaces on measure spaces","authors":"Haiyan Zhou,&nbsp;Xiaoqian Song,&nbsp;Songbai Wang,&nbsp;Jiang Zhou","doi":"10.1007/s43034-024-00402-4","DOIUrl":"10.1007/s43034-024-00402-4","url":null,"abstract":"<div><p>We obtain the boundedness for Hardy–Littlewood maximal operators on generalized Orlicz spaces in the abstract setting of measure spaces, which are equipped with a ball basis. Using this result, we establish an off-diagonal extrapolation and its applications, the boundedness for <span>({mathbb {B}})</span>-valued linear bounded oscillation operators, on generalized Orlicz spaces.</p></div>","PeriodicalId":48858,"journal":{"name":"Annals of Functional Analysis","volume":"16 1","pages":""},"PeriodicalIF":1.2,"publicationDate":"2025-01-02","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"142912836","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
Residualities and uniform ergodicities of Markov semigroups 马尔可夫半群的残差和一致遍历性
IF 1.2 3区 数学
Annals of Functional Analysis Pub Date : 2024-12-20 DOI: 10.1007/s43034-024-00398-x
Nazife Erkurşun-Özcan, Farrukh Mukhamedov
{"title":"Residualities and uniform ergodicities of Markov semigroups","authors":"Nazife Erkurşun-Özcan,&nbsp;Farrukh Mukhamedov","doi":"10.1007/s43034-024-00398-x","DOIUrl":"10.1007/s43034-024-00398-x","url":null,"abstract":"<div><p>The primary objective of this research is to use an extended Dobrushin ergodicity coefficient to explore residualities of the set of uniform <i>P</i>-ergodic Markov semigroups defined on abstract state spaces. Moreover, we investigate uniform mean ergodicities of Markov semigroups under the Doeblin’s Condition.</p></div>","PeriodicalId":48858,"journal":{"name":"Annals of Functional Analysis","volume":"16 1","pages":""},"PeriodicalIF":1.2,"publicationDate":"2024-12-20","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"142859410","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 approximation spaces and Greedy-type bases 关于近似空间和 Greedy 型基数
IF 1.2 3区 数学
Annals of Functional Analysis Pub Date : 2024-12-20 DOI: 10.1007/s43034-024-00397-y
Pablo M. Berná, Hùng Việt Chu, Eugenio Hernández
{"title":"On approximation spaces and Greedy-type bases","authors":"Pablo M. Berná,&nbsp;Hùng Việt Chu,&nbsp;Eugenio Hernández","doi":"10.1007/s43034-024-00397-y","DOIUrl":"10.1007/s43034-024-00397-y","url":null,"abstract":"<div><p>The purpose of this paper is to introduce <span>(omega )</span>-Chebyshev–Greedy and <span>(omega )</span>-partially greedy approximation classes and study their relation with <span>(omega )</span>-approximation spaces, where the latter are a generalization of the classical approximation spaces. The relation gives us sufficient conditions of when certain continuous embeddings imply different greedy-type properties. Along the way, we generalize a result by P. Wojtaszczyk as well as characterize semi-greedy Schauder bases in quasi-Banach spaces, generalizing a previous result by the first author.</p></div>","PeriodicalId":48858,"journal":{"name":"Annals of Functional Analysis","volume":"16 1","pages":""},"PeriodicalIF":1.2,"publicationDate":"2024-12-20","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"142859652","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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