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Annals of Functional Analysis最新文献

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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
A Fourier multiplier theorem on anisotropic Hardy spaces associated with ball quasi-Banach function spaces 与球准巴纳赫函数空间相关的各向异性哈代空间上的傅里叶乘数定理
IF 1.2 3区 数学
Annals of Functional Analysis Pub Date : 2024-12-16 DOI: 10.1007/s43034-024-00396-z
Xianjie Yan, Hongchao Jia, Dachun Yang
{"title":"A Fourier multiplier theorem on anisotropic Hardy spaces associated with ball quasi-Banach function spaces","authors":"Xianjie Yan,&nbsp;Hongchao Jia,&nbsp;Dachun Yang","doi":"10.1007/s43034-024-00396-z","DOIUrl":"10.1007/s43034-024-00396-z","url":null,"abstract":"<div><p>Let <i>A</i> be a general expansive matrix. Let <i>X</i> be a ball quasi-Banach function space on <span>(mathbb {R}^n)</span>, which supports both a Fefferman–Stein vector-valued maximal inequality and the boundedness of the powered Hardy–Littlewood maximal operator on its associate space. The authors first establish the boundedness of convolutional anisotropic Calderón–Zygmund operators on the Hardy space <span>(H_X^A(mathbb {R}^n))</span>. As an application, the authors also obtain the boundedness of Fourier multipliers satisfying anisotropic Mihlin conditions on <span>(H_X^A(mathbb {R}^n))</span>. All these results have a wide range of applications; in particular, when they are applied to Lebesgue spaces, all these results reduce back to the known best results and, even when they are applied to Lorentz spaces, variable Lebesgue spaces, Orlicz spaces, Orlicz-slice spaces, and local generalized Herz spaces, the obtained results are also new.</p></div>","PeriodicalId":48858,"journal":{"name":"Annals of Functional Analysis","volume":"16 1","pages":""},"PeriodicalIF":1.2,"publicationDate":"2024-12-16","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"142826150","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
Ergodicity and super weak compactness 遍历性和超弱紧凑性
IF 1.2 3区 数学
Annals of Functional Analysis Pub Date : 2024-11-29 DOI: 10.1007/s43034-024-00395-0
Guillaume Grelier, Matías Raja
{"title":"Ergodicity and super weak compactness","authors":"Guillaume Grelier,&nbsp;Matías Raja","doi":"10.1007/s43034-024-00395-0","DOIUrl":"10.1007/s43034-024-00395-0","url":null,"abstract":"<div><p>We prove that a closed convex subset of a Banach space is (super-)weakly compact if and only if it is (super)-ergodic. As a consequence, we deduce that super weakly compact sets are characterized by the fixed point property for continuous affine mappings. We also prove that the M-(fixed point property for affine isometries) implies the Banach-Saks property.</p></div>","PeriodicalId":48858,"journal":{"name":"Annals of Functional Analysis","volume":"16 1","pages":""},"PeriodicalIF":1.2,"publicationDate":"2024-11-29","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"142737039","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
Correction to: Logarithmic refinements of a power weighted Hardy–Rellich-type inequality 更正：幂加权哈代-雷利克式不等式的对数改进
IF 1.2 3区 数学
Annals of Functional Analysis Pub Date : 2024-11-19 DOI: 10.1007/s43034-024-00394-1
Fritz Gesztesy, Michael M. H. Pang, Jonathan Stanfill
{"title":"Correction to: Logarithmic refinements of a power weighted Hardy–Rellich-type inequality","authors":"Fritz Gesztesy,&nbsp;Michael M. H. Pang,&nbsp;Jonathan Stanfill","doi":"10.1007/s43034-024-00394-1","DOIUrl":"10.1007/s43034-024-00394-1","url":null,"abstract":"","PeriodicalId":48858,"journal":{"name":"Annals of Functional Analysis","volume":"16 1","pages":""},"PeriodicalIF":1.2,"publicationDate":"2024-11-19","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"https://link.springer.com/content/pdf/10.1007/s43034-024-00394-1.pdf","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"142672486","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
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