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Annals of Functional Analysis最新文献

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Residualities and uniform ergodicities of Markov semigroups
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
Some characterizations of minimal matrices with operator norm 具有算子规范的最小矩阵的一些特征
IF 1.2 3区 数学
Annals of Functional Analysis Pub Date : 2024-11-05 DOI: 10.1007/s43034-024-00393-2
Shuaijie Wang, Ying Zhang
{"title":"Some characterizations of minimal matrices with operator norm","authors":"Shuaijie Wang,&nbsp;Ying Zhang","doi":"10.1007/s43034-024-00393-2","DOIUrl":"10.1007/s43034-024-00393-2","url":null,"abstract":"<div><p>This paper studies matrices <i>A</i> in <span>(M_n(mathbb C))</span> satisfying </p><div><div><span>$$begin{aligned} Vert AVert =min {Vert A+BVert :Bin {mathcal {B}}}, end{aligned}$$</span></div></div><p>where <span>({mathcal {B}})</span> is a C*-subalgebra of <span>(M_n(mathbb C))</span> and <span>(Vert cdot Vert )</span> denotes the operator norm. Such an <i>A</i> is called <span>({mathcal {B}})</span>-minimal. The necessary and sufficient conditions for <i>A</i> to be <span>({mathcal {B}})</span>-minimal are characterized, and a constructive method to obtain <span>({mathcal {B}})</span>-minimal normal matrices is provided. Moreover, <span>(bigoplus _{i=1}^k{mathcal {B}})</span>-minimal normal matrices with anti-diagonal block form are studied.</p></div>","PeriodicalId":48858,"journal":{"name":"Annals of Functional Analysis","volume":"16 1","pages":""},"PeriodicalIF":1.2,"publicationDate":"2024-11-05","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"142587710","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
Topological radicals, IX: relations in ideals of C*-algebras 拓扑自由基，IX：C* 矩阵理想中的关系
IF 1.2 3区 数学
Annals of Functional Analysis Pub Date : 2024-10-18 DOI: 10.1007/s43034-024-00391-4
Edward Kissin, Victor S. Shulman, Yurii V. Turovskii
{"title":"Topological radicals, IX: relations in ideals of C*-algebras","authors":"Edward Kissin,&nbsp;Victor S. Shulman,&nbsp;Yurii V. Turovskii","doi":"10.1007/s43034-024-00391-4","DOIUrl":"10.1007/s43034-024-00391-4","url":null,"abstract":"<div><p>In this paper, we pursue three aims. The first one is to apply Amitsur’s relations and radicals theory to the study of the lattices <span>(hbox {Id}_{{A}})</span> of closed two-sided ideals of C*-algebras <i>A</i>. We show that many new and many well-known results about C*-algebras follow naturally from this approach. To use “relation-radical” approach, we consider various subclasses of the class <span>({mathfrak {A}})</span> of all C*-algebras, which we call C*-properties, as they often linked to some properties of C*-algebras. We consider C*-properties <i>P</i> consisting of CCR- and of GCR-algebras; of C*-algebras with continuous trace; of real rank zero, AF, nuclear C*-algebras, etc. Each <i>P</i> defines reflexive relations <span>(ll _{{P}})</span> in all lattices <span>(hbox {Id}_{A}.)</span> Our second aim is to determine the hierarchy and interconnection between properties in <span>({mathfrak {A}}.)</span> Our third aim is to study the link between the radicals of relations <span>(ll _{{P}})</span> in the lattices <span>(hbox {Id}_{{A}})</span> and the topological radicals on <span>({mathfrak {A}}.)</span></p></div>","PeriodicalId":48858,"journal":{"name":"Annals of Functional Analysis","volume":"16 1","pages":""},"PeriodicalIF":1.2,"publicationDate":"2024-10-18","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"142451107","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
Morita invariance of unbounded bivariant K-theory 无界双变量 K 理论的莫里塔不变性
IF 1.2 3区 数学
Annals of Functional Analysis Pub Date : 2024-10-01 DOI: 10.1007/s43034-024-00392-3
Jens Kaad
{"title":"Morita invariance of unbounded bivariant K-theory","authors":"Jens Kaad","doi":"10.1007/s43034-024-00392-3","DOIUrl":"10.1007/s43034-024-00392-3","url":null,"abstract":"<div><p>We introduce a notion of Morita equivalence for non-selfadjoint operator algebras equipped with a completely isometric involution (operator <span>(*)</span>-algebras). We then show that the unbounded Kasparov product by a Morita equivalence bimodule induces an isomorphism between equivalence classes of twisted spectral triples over Morita equivalent operator <span>(*)</span>-algebras. This leads to a tentative definition of unbounded bivariant <i>K</i>-theory and we prove that this bivariant theory is related to Kasparov’s bivariant <i>K</i>-theory via the Baaj-Julg bounded transform. Moreover, the unbounded Kasparov product provides a refinement of the usual interior Kasparov product. We illustrate our results by proving <span>(C^1)</span>-versions of well-known <span>(C^*)</span>-algebraic Morita equivalences in the context of hereditary subalgebras, conformal equivalences and crossed products by discrete groups.</p></div>","PeriodicalId":48858,"journal":{"name":"Annals of Functional Analysis","volume":"15 4","pages":""},"PeriodicalIF":1.2,"publicationDate":"2024-10-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"https://link.springer.com/content/pdf/10.1007/s43034-024-00392-3.pdf","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"142409319","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
Zeta zeros and prolate wave operators 泽塔零点和凸面波算子
IF 1.2 3区 数学
Annals of Functional Analysis Pub Date : 2024-09-18 DOI: 10.1007/s43034-024-00388-z
Alain Connes, Caterina Consani, Henri Moscovici
{"title":"Zeta zeros and prolate wave operators","authors":"Alain Connes,&nbsp;Caterina Consani,&nbsp;Henri Moscovici","doi":"10.1007/s43034-024-00388-z","DOIUrl":"10.1007/s43034-024-00388-z","url":null,"abstract":"<div><p>We integrate in the framework of the semilocal trace formula two recent discoveries on the spectral realization of the zeros of the Riemann zeta function by introducing a semilocal analogue of the prolate wave operator. The latter plays a key role both in the spectral realization of the low lying zeros of zeta—using the positive part of its spectrum—and of their ultraviolet behavior—using the Sonin space which corresponds to the negative part of the spectrum. In the archimedean case the prolate operator is the sum of the square of the scaling operator with the grading of orthogonal polynomials, and we show that this formulation extends to the semilocal case. We prove the stability of the semilocal Sonin space under the increase of the finite set of places which govern the semilocal framework and describe their relation with Hilbert spaces of entire functions. Finally, we relate the prolate operator to the metaplectic representation of the double cover of <span>({text {SL}}(2,mathbb {R}))</span> with the goal of obtaining (in a forthcoming paper) a second candidate for the semilocal prolate operator.</p></div>","PeriodicalId":48858,"journal":{"name":"Annals of Functional Analysis","volume":"15 4","pages":""},"PeriodicalIF":1.2,"publicationDate":"2024-09-18","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"142254477","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 norm estimates for the triangular projection on the space of bounded linear operators between two symmetric sequence spaces 两个对称序列空间之间有界线性算子空间上三角投影的一些规范估计值
IF 1.2 3区 数学
Annals of Functional Analysis Pub Date : 2024-09-10 DOI: 10.1007/s43034-024-00385-2
Anna Tomskova
{"title":"Some norm estimates for the triangular projection on the space of bounded linear operators between two symmetric sequence spaces","authors":"Anna Tomskova","doi":"10.1007/s43034-024-00385-2","DOIUrl":"10.1007/s43034-024-00385-2","url":null,"abstract":"<div><p>For two given symmetric sequence spaces <i>E</i> and <i>F</i> we study the action of the main triangular projection <i>T</i> on <i>B</i>(<i>E</i>, <i>F</i>), the space of all bounded linear operators from <i>E</i> to <i>F</i>, and give a lower estimate for the norm of <i>T</i> in terms of the fundamental functions of <i>E</i> and <i>F</i> and the fundamental function of the generalized dual space <i>F</i> : <i>E</i>. In addition, we give a condition for the boundedness of the operator <i>T</i> in terms of <i>F</i>-absolutely summing operators. Furthermore, we apply our results to some concrete symmetric sequence spaces. In particular, we study the question of the boundedness or unboundedness of <i>T</i> on the spaces <span>(B(ell _{p_1,q_1},ell _{p}),)</span> <span>(B(ell _{p},ell _{p_1,q_1}))</span> and <span>(B(ell _{p_1,q_1},ell _{p_2,q_2}))</span>.</p></div>","PeriodicalId":48858,"journal":{"name":"Annals of Functional Analysis","volume":"15 4","pages":""},"PeriodicalIF":1.2,"publicationDate":"2024-09-10","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"142210777","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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