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Annals of Functional Analysis最新文献

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Countability conditions in locally solid convergence spaces 局部实收敛空间中的可数条件
IF 1 3区 数学
Annals of Functional Analysis Pub Date : 2025-09-15 DOI: 10.1007/s43034-025-00433-5
Eugene Bilokopytov, Viktor Bohdanskyi, Jan Harm van der Walt
{"title":"Countability conditions in locally solid convergence spaces","authors":"Eugene Bilokopytov,&nbsp;Viktor Bohdanskyi,&nbsp;Jan Harm van der Walt","doi":"10.1007/s43034-025-00433-5","DOIUrl":"10.1007/s43034-025-00433-5","url":null,"abstract":"<div><p>We study (strong) first countability of locally solid convergence structures on Archimedean vector lattices. Among other results, we characterise those vector lattices for which relatively uniform-, order-, and <span>(sigma)</span>-order convergence, respectively, is (strongly) first countable. The implications for the validity of sequential arguments in the contexts of these convergence structures are pointed out.</p></div>","PeriodicalId":48858,"journal":{"name":"Annals of Functional Analysis","volume":"16 4","pages":""},"PeriodicalIF":1.0,"publicationDate":"2025-09-15","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"https://link.springer.com/content/pdf/10.1007/s43034-025-00433-5.pdf","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"145057713","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
Distance between two resolvent families 两个有解决能力的家庭之间的距离
IF 1 3区 数学
Annals of Functional Analysis Pub Date : 2025-09-13 DOI: 10.1007/s43034-025-00471-z
Chen-Yu Li
{"title":"Distance between two resolvent families","authors":"Chen-Yu Li","doi":"10.1007/s43034-025-00471-z","DOIUrl":"10.1007/s43034-025-00471-z","url":null,"abstract":"<div><p>This paper investigates the asymptotic behavior of fractional resolvent families in Banach spaces. We establish new results on operator equivalence under asymptotic approximation conditions, develop stability criteria for resolvent families, and extend Datko’s theorem to the fractional setting. The main technical tools include spectral theory, Laplace transform methods, and refined estimates of Mittag-Leffler functions.</p></div>","PeriodicalId":48858,"journal":{"name":"Annals of Functional Analysis","volume":"16 4","pages":""},"PeriodicalIF":1.0,"publicationDate":"2025-09-13","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"145037306","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 energy of the ground state solution for a generalized Kadomtsev–Petviashvili equation 广义Kadomtsev-Petviashvili方程基态解的能量
IF 1 3区 数学
Annals of Functional Analysis Pub Date : 2025-09-12 DOI: 10.1007/s43034-025-00470-0
Claudianor O. Alves, Giovany M. Figueiredo, Marcelo Montenegro
{"title":"On the energy of the ground state solution for a generalized Kadomtsev–Petviashvili equation","authors":"Claudianor O. Alves,&nbsp;Giovany M. Figueiredo,&nbsp;Marcelo Montenegro","doi":"10.1007/s43034-025-00470-0","DOIUrl":"10.1007/s43034-025-00470-0","url":null,"abstract":"<div><p>We show that there exists a ground state solution for a generalized Kadomtsev–Petviashvili equation in <span>(mathbb {R}^2)</span>. We prove that the ground state solution has energy equal to the mountain pass level of the functional corresponding to the equation.</p></div>","PeriodicalId":48858,"journal":{"name":"Annals of Functional Analysis","volume":"16 4","pages":""},"PeriodicalIF":1.0,"publicationDate":"2025-09-12","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"145037345","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
Tensor products of semi-closed operators and applications 半闭算子的张量积及其应用
IF 1 3区 数学
Annals of Functional Analysis Pub Date : 2025-09-04 DOI: 10.1007/s43034-025-00467-9
Go Hirasawa
{"title":"Tensor products of semi-closed operators and applications","authors":"Go Hirasawa","doi":"10.1007/s43034-025-00467-9","DOIUrl":"10.1007/s43034-025-00467-9","url":null,"abstract":"<div><p>We introduce the <i>q</i>-tensor product of semi-closed operators. Related basic properties between algebraic tensor products, tensor products and <i>q</i>-tensor products are studied. The <i>q</i>-tensor product of semi-closed or closed projections is considered. It is shown that the tensor product can be defined for ‘non-densely defined’ closable operators using properties of <i>q</i>-tensor products. As applications, we investigate relations between (<i>q</i>-) tensor products and the Krein—von Neumann extension of a semi-closed positive symmetric operator with the positively closable condition.</p></div>","PeriodicalId":48858,"journal":{"name":"Annals of Functional Analysis","volume":"16 4","pages":""},"PeriodicalIF":1.0,"publicationDate":"2025-09-04","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"144990579","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 Bohr’s equivalence theorem to the case of exponential polynomials with distinct sets of frequencies 玻尔等价定理在具有不同频率集合的指数多项式情况下的推广
IF 1 3区 数学
Annals of Functional Analysis Pub Date : 2025-08-26 DOI: 10.1007/s43034-025-00460-2
J. M. Sepulcre, T. Vidal
{"title":"An extension of Bohr’s equivalence theorem to the case of exponential polynomials with distinct sets of frequencies","authors":"J. M. Sepulcre,&nbsp;T. Vidal","doi":"10.1007/s43034-025-00460-2","DOIUrl":"10.1007/s43034-025-00460-2","url":null,"abstract":"<div><p>Inspired by Bohr’s equivalence relation concerning general Dirichlet series, in this paper we introduce a new equivalence relation on certain classes of exponential polynomials whose sets of frequencies are not necessarily equal. We first characterize this equivalence relation through a new perspective, and finally we obtain an improvement of Bohr’s equivalence theorem for the case of these finite exponential sums.</p></div>","PeriodicalId":48858,"journal":{"name":"Annals of Functional Analysis","volume":"16 4","pages":""},"PeriodicalIF":1.0,"publicationDate":"2025-08-26","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"https://link.springer.com/content/pdf/10.1007/s43034-025-00460-2.pdf","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"144905251","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
New s-number classes and summing classes of bilinear operators 双线性算子的新s数类和和类
IF 1 3区 数学
Annals of Functional Analysis Pub Date : 2025-08-20 DOI: 10.1007/s43034-025-00464-y
Eduardo Brandani da Silva, Dicesar Lass Fernandez
{"title":"New s-number classes and summing classes of bilinear operators","authors":"Eduardo Brandani da Silva,&nbsp;Dicesar Lass Fernandez","doi":"10.1007/s43034-025-00464-y","DOIUrl":"10.1007/s43034-025-00464-y","url":null,"abstract":"<div><p>We introduce classes of bilinear operators of <span>(ell _{p,q})</span>-type, i.e. classes of operators in which their sequences of s-numbers are in <span>(ell _{p,q},)</span> and their properties and relationships are studied. We also introduce two classes of summing bilinear operators: the class <span>(Pi _{p,q;r}^{ss})</span> of strongly summing operators, and the class <span>(Pi _{p,q;r,s}^{as})</span> of absolutely summing operators. These classes share some properties with similar proofs. But, some others properties are specific for one or the other class. Also, they are somewhat more general than the multilinear summing classes introduced before by several authors. Relationships between classes of <span>(ell _{p,q})</span>-type and summing classes are given.</p></div>","PeriodicalId":48858,"journal":{"name":"Annals of Functional Analysis","volume":"16 4","pages":""},"PeriodicalIF":1.0,"publicationDate":"2025-08-20","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"144868910","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
Min–max relations for tuples of operators in terms of component spaces 在分量空间中算子元组的最小-最大关系
IF 1 3区 数学
Annals of Functional Analysis Pub Date : 2025-08-20 DOI: 10.1007/s43034-025-00465-x
Arpita Mal
{"title":"Min–max relations for tuples of operators in terms of component spaces","authors":"Arpita Mal","doi":"10.1007/s43034-025-00465-x","DOIUrl":"10.1007/s43034-025-00465-x","url":null,"abstract":"<div><p>For tuples of compact operators <span>(mathcal {T}=(T_1,ldots , T_d))</span> and <span>(mathcal {S}=(S_1,ldots ,S_d))</span> on Banach spaces over a field <span>(mathbb {F})</span>, considering the joint <i>p</i>-operator norms on the tuples, we study <span>(dist(mathcal {T},mathbb {F}^dmathcal {S}),)</span> the distance of <span>(mathcal {T})</span> from the <i>d</i>-dimensional subspace <span>(mathcal {F}^dmathcal {S}:={{textbf {z}}mathcal {S}:{textbf {z}}in mathbb {F}^d}.)</span> We obtain a relation between <span>(dist(mathcal {T},mathbb {F}^dmathcal {S}))</span> and <span>(dist(T_i,mathbb {F}S_i),)</span> for <span>(1le ile d.)</span> We prove that if <span>(p=infty ,)</span> then <span>(dist(mathcal {T},mathbb {F}^dmathcal {S})=underset{1le ile d}{max }dist(T_i,mathbb {F}S_i),)</span> and for <span>(1le p&lt;infty ,)</span> under a sufficient condition, <span>(dist(mathcal {T},mathbb {F}^dmathcal {S})^p=underset{1le ile d}{sum }dist(T_i,mathbb {F}S_i)^p.)</span> As a consequence, we deduce the equivalence of Birkhoff-James orthogonality, <span>(mathcal {T}perp _B mathbb {F}^dmathcal {S} Leftrightarrow T_iperp _B S_i,)</span> under a sufficient condition. Furthermore, we explore the relation of one sided Gâteaux derivatives of <span>(mathcal {T})</span> in the direction of <span>(mathcal {S})</span> with that of <span>(T_i)</span> in the direction of <span>(S_i.)</span> Applying this, we explore the relation between the smoothness of <span>(mathcal {T})</span> and <span>(T_i.)</span> By identifying an operator, whose range is <span>(ell _infty ^d,)</span> as a tuple of functionals, we effectively use the results obtained here for operators whose range is <span>(ell _infty ^d)</span> and deduce nice results involving functionals.</p></div>","PeriodicalId":48858,"journal":{"name":"Annals of Functional Analysis","volume":"16 4","pages":""},"PeriodicalIF":1.0,"publicationDate":"2025-08-20","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"144880999","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
Locally unital (C^*)-algebras do not admit frames 局部一元(C^*) -代数不允许帧
IF 1 3区 数学
Annals of Functional Analysis Pub Date : 2025-08-18 DOI: 10.1007/s43034-025-00459-9
D. V. Fufaev
{"title":"Locally unital (C^*)-algebras do not admit frames","authors":"D. V. Fufaev","doi":"10.1007/s43034-025-00459-9","DOIUrl":"10.1007/s43034-025-00459-9","url":null,"abstract":"<div><p>We study non-unital <span>(C^*)</span>-algebras such that for any element, there exists a local unit and prove that in such algebras there are no frames. This fact was previously known only for commutative algebras. Among other results, we establish some necessary properties of frames in <span>(C^*)</span>-algebras (which are of independent interest in the noncommutative topology), and consider several examples of <span>(C^*)</span>-algebras that are new in this context.</p></div>","PeriodicalId":48858,"journal":{"name":"Annals of Functional Analysis","volume":"16 4","pages":""},"PeriodicalIF":1.0,"publicationDate":"2025-08-18","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"144868929","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
Weak factorizations for Hardy spaces in the Dunkl setting Dunkl环境下Hardy空间的弱分解
IF 1 3区 数学
Annals of Functional Analysis Pub Date : 2025-08-11 DOI: 10.1007/s43034-025-00461-1
Qingdong Guo, Wenting Hu
{"title":"Weak factorizations for Hardy spaces in the Dunkl setting","authors":"Qingdong Guo,&nbsp;Wenting Hu","doi":"10.1007/s43034-025-00461-1","DOIUrl":"10.1007/s43034-025-00461-1","url":null,"abstract":"<div><p>In this paper, we establish the weak factorizations of the Hardy space associated with the Dunkl operator via the bilinear forms of Dunkl–Riesz transforms <span>({{mathcal {R}}_{j}}_{j=1}^{d}.)</span> Note that the kernels of <span>({{mathcal {R}}_{j}}_{j=1}^{d})</span> involve both the Euclidean and the Dunkl metrics, which are not equivalent. As an application, we provide a new proof for the sufficiency of characterization of the <span>({textrm{BMO}})</span> space associated to the Dunkl operator via the commutators of <span>({{mathcal {R}}_{j}}_{j=1}^{d}.)</span></p></div>","PeriodicalId":48858,"journal":{"name":"Annals of Functional Analysis","volume":"16 4","pages":""},"PeriodicalIF":1.0,"publicationDate":"2025-08-11","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"144810850","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
Multilinear strongly singular integral operators with generalized kernels on RD-spaces rd -空间上具有广义核的多线性强奇异积分算子
IF 1.2 3区 数学
Annals of Functional Analysis Pub Date : 2025-05-25 DOI: 10.1007/s43034-025-00430-8
Kang Chen, Yan Lin, ShuHui Yang
{"title":"Multilinear strongly singular integral operators with generalized kernels on RD-spaces","authors":"Kang Chen,&nbsp;Yan Lin,&nbsp;ShuHui Yang","doi":"10.1007/s43034-025-00430-8","DOIUrl":"10.1007/s43034-025-00430-8","url":null,"abstract":"<div><p>In this article, we introduce a class of multilinear strongly singular integral operators with generalized kernels on the RD-space. The boundedness of these operators on weighted Lebesgue spaces is established. Moreover, two types of endpoint estimates and their boundedness on generalized weighted Morrey spaces are obtained. Our results further generalize the relevant conclusions on generalized kernels in Euclidean spaces. Moreover, the weak-type results on weighted Lebesgue spaces are brand new even in the situation of Euclidean spaces. In addition, when the generalized kernels degenerate into classical kernels, our research results also extend the relevant known results. It is worth mentioning that our RD-spaces are more general than theirs.</p></div>","PeriodicalId":48858,"journal":{"name":"Annals of Functional Analysis","volume":"16 3","pages":""},"PeriodicalIF":1.2,"publicationDate":"2025-05-25","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"144131494","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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