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On strong extension groups of Cuntz–Krieger algebras 论 Cuntz-Krieger 对象的强扩展群
IF 0.6 3区 数学
Analysis Mathematica Pub Date : 2024-09-15 DOI: 10.1007/s10476-024-00046-5
K. Matsumoto
{"title":"On strong extension groups of Cuntz–Krieger algebras","authors":"K. Matsumoto","doi":"10.1007/s10476-024-00046-5","DOIUrl":"10.1007/s10476-024-00046-5","url":null,"abstract":"<div><p>In this paper, we study the strong extension groups of Cuntz–Krieger algebras, and present a formula to compute the groups. We also detect the position of the Toeplitz extension of a Cuntz–Krieger algebra in the strong extension group and in the weak extension group to see that the weak extension group with the position of the Toeplitz extension is a complete invariant of the isomorphism class of the Cuntz–Krieger algebra associated with its transposed matrix.</p></div>","PeriodicalId":55518,"journal":{"name":"Analysis Mathematica","volume":"50 3","pages":"917 - 937"},"PeriodicalIF":0.6,"publicationDate":"2024-09-15","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"142269197","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 hyperbolic group and subordinated integrals as operators on sequence Banach spaces 论序列巴拿赫空间上作为算子的双曲群和次积分
IF 0.6 3区 数学
Analysis Mathematica Pub Date : 2024-09-15 DOI: 10.1007/s10476-024-00047-4
L. Abadias, J. E. Galé, P. J. Miana, J. Oliva-Maza
{"title":"On the hyperbolic group and subordinated integrals as operators on sequence Banach spaces","authors":"L. Abadias,&nbsp;J. E. Galé,&nbsp;P. J. Miana,&nbsp;J. Oliva-Maza","doi":"10.1007/s10476-024-00047-4","DOIUrl":"10.1007/s10476-024-00047-4","url":null,"abstract":"<div><p>We show that the composition hyperbolic group in the unit disc, once transferred to act on sequence spaces, is bounded on <span>(ell^p)</span> if and only if <span>({p=2})</span>. We introduce some integral operators subordinated to that group which are natural generalizations of classical operators on sequences. For the description of such operators, we use some combinatorial identities which look interesting in their own.</p></div>","PeriodicalId":55518,"journal":{"name":"Analysis Mathematica","volume":"51 1","pages":"1 - 22"},"PeriodicalIF":0.6,"publicationDate":"2024-09-15","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"https://link.springer.com/content/pdf/10.1007/s10476-024-00047-4.pdf","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"142264974","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
Rich lattices of multiplier topologies 丰富的乘法拓扑网格
IF 0.6 3区 数学
Analysis Mathematica Pub Date : 2024-09-15 DOI: 10.1007/s10476-024-00050-9
A. Chirvasitu
{"title":"Rich lattices of multiplier topologies","authors":"A. Chirvasitu","doi":"10.1007/s10476-024-00050-9","DOIUrl":"10.1007/s10476-024-00050-9","url":null,"abstract":"<div><p>Each symmetrically-normed ideal <span>(mathcal{I})</span> of compact operators on a Hilbert space <span>(H)</span> induces a multiplier topology <span>(mu^*_{mathcal{I}})</span> on the algebra <span>(mathcal{B}(H))</span> of bounded operators. We show that under fairly reasonable circumstances those topologies precisely reflect, strength-wise, the inclusion relations between the corresponding ideals, including the fact that the topologies are distinct when the ideals are.</p><p>Said circumstances apply, for instance, for the two-parameter chain of Lorentz ideals <span>(mathcal{L}^{p,q})</span> interpolating between the ideals of trace-class and compact operators. This gives a totally ordered chain of distinct topologies <span>(mu^*_{p,qmid 0})</span> on <span>(mathcal{B}(H))</span>, with <span>(mu^*_{2,2mid 0})</span> being the <span>(sigma mbox{-}strong^*)</span> topology and <span>(mu^*_{infty,inftymid 0})</span> the strict/Mackey topology. In particular, the latter are only two of a natural continuous family. </p></div>","PeriodicalId":55518,"journal":{"name":"Analysis Mathematica","volume":"51 1","pages":"165 - 189"},"PeriodicalIF":0.6,"publicationDate":"2024-09-15","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"142264969","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 generalization of Lévy’s theorem on positive matrix semigroups 关于正矩阵半群的莱维定理的一般化
IF 0.6 3区 数学
Analysis Mathematica Pub Date : 2024-09-03 DOI: 10.1007/s10476-024-00039-4
M. Gerlach
{"title":"A generalization of Lévy’s theorem on positive matrix semigroups","authors":"M. Gerlach","doi":"10.1007/s10476-024-00039-4","DOIUrl":"10.1007/s10476-024-00039-4","url":null,"abstract":"<div><p>We generalize a fundamental theorem on positive matrix semigroups stating that each component is either strictly positive for all times or identically zero (“Lévy’s Theorem”). Our proof of this fact that does not require the matrices to be continuous at time zero. We also provide a formulation of this theorem in the terminology of positive operator semigroups on sequence spaces.</p></div>","PeriodicalId":55518,"journal":{"name":"Analysis Mathematica","volume":"50 4","pages":"1019 - 1032"},"PeriodicalIF":0.6,"publicationDate":"2024-09-03","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"142209714","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 ((phi_frac{n}{s}, phi))-Poincaré inequality on John domains 约翰域上的 $$(phi_frac{n}{s}, phi)$$ -Poincaré 不等式
IF 0.6 3区 数学
Analysis Mathematica Pub Date : 2024-09-03 DOI: 10.1007/s10476-024-00038-5
S. Feng, T. Liang
{"title":"A ((phi_frac{n}{s}, phi))-Poincaré inequality on John domains","authors":"S. Feng,&nbsp;T. Liang","doi":"10.1007/s10476-024-00038-5","DOIUrl":"10.1007/s10476-024-00038-5","url":null,"abstract":"<div><p>Let <span>(Omega)</span> be a bounded domain in <span>(mathbb{R}^n)</span> \u0000with <span>(nge2)</span> and <span>(sin(0,1))</span>. \u0000Assume that <span>(phi colon [0, infty) to [0, infty))</span> is a Young function obeying the doubling condition with the \u0000constant <span>(K_phi&lt; 2^{frac{n}{s}})</span>. We demonstrate that <span>(Omega)</span> supports \u0000a <span>((phi_frac{n}{s}, phi))</span>-Poincaré inequality if it is a John domain. Alternatively, assume further that <span>(Omega)</span> \u0000is a bounded domain that is quasiconformally equivalent to a uniform domain (for <span>(ngeq3)</span>) or a simply connected domain (for <span>(n=2)</span>), \u0000then we show that <span>(Omega)</span> is a John domain if a \u0000<span>((phi_frac{n}{s}, phi))</span>-Poincaré inequality holds.\u0000</p></div>","PeriodicalId":55518,"journal":{"name":"Analysis Mathematica","volume":"50 3","pages":"827 - 859"},"PeriodicalIF":0.6,"publicationDate":"2024-09-03","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"142209715","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
Generalized rectangular constant in Banach spaces 巴拿赫空间中的广义矩形常数
IF 0.6 3区 数学
Analysis Mathematica Pub Date : 2024-07-03 DOI: 10.1007/s10476-024-00034-9
H. Xie, Y. Fu, Y. Li
{"title":"Generalized rectangular constant in Banach spaces","authors":"H. Xie,&nbsp;Y. Fu,&nbsp;Y. Li","doi":"10.1007/s10476-024-00034-9","DOIUrl":"10.1007/s10476-024-00034-9","url":null,"abstract":"<div><p>This paper presents two new geometric constants <span>(mu(X,a))</span> and <span>(mu'(X,a))</span>,\u0000which extend the rectangular constants <span>(mu(X))</span> and <span>(mu'(X))</span>. We firstly provide their bounds. Then the relationships between these geometric constants and the geometric properties of Banach spaces are discussed, including uniform nonsquareness, uniform convexity and uniform smoothness. Meanwhile, we provide several estimates of \u0000<span>(mu(l_p,a))</span> and obtain some new upper bound estimates on <span>(mu'(l_p,a))</span>.</p></div>","PeriodicalId":55518,"journal":{"name":"Analysis Mathematica","volume":"50 2","pages":"667 - 681"},"PeriodicalIF":0.6,"publicationDate":"2024-07-03","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"141547197","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 note on Maz'ya-Verbitsky capacitary inequalities 关于 Maz'ya-Verbitsky 容性不等式的说明
IF 0.6 3区 数学
Analysis Mathematica Pub Date : 2024-07-03 DOI: 10.1007/s10476-024-00037-6
K. H. Ooi
{"title":"A note on Maz'ya-Verbitsky capacitary inequalities","authors":"K. H. Ooi","doi":"10.1007/s10476-024-00037-6","DOIUrl":"10.1007/s10476-024-00037-6","url":null,"abstract":"<div><p>We present a proof of Maz'ya-Verbitsky capacitary inequalities in terms of Bessel potentials. It will be seen that the proof mainly relies on the localization techniques. Several types of Kerman-Sawyer conditions will be obtained throughout the proof as well.</p></div>","PeriodicalId":55518,"journal":{"name":"Analysis Mathematica","volume":"50 3","pages":"787 - 826"},"PeriodicalIF":0.6,"publicationDate":"2024-07-03","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"141552392","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
Perturbations of non-autonomous second-order abstract Cauchy problems 非自治二阶抽象柯西问题的扰动
IF 0.6 3区 数学
Analysis Mathematica Pub Date : 2024-07-01 DOI: 10.1007/s10476-024-00035-8
C. Budde, C. Seifert
{"title":"Perturbations of non-autonomous second-order abstract Cauchy problems","authors":"C. Budde,&nbsp;C. Seifert","doi":"10.1007/s10476-024-00035-8","DOIUrl":"10.1007/s10476-024-00035-8","url":null,"abstract":"<div><p>In this paper we present time-dependent perturbations of second-order non-autonomous abstract Cauchy problems associated to a family of operators with constant domain. We make use of the equivalence to a first-order non-autonomous abstract Cauchy problem in a product space, which we elaborate in full detail. \u0000As an application we provide a perturbed non-autonomous wave equation.</p></div>","PeriodicalId":55518,"journal":{"name":"Analysis Mathematica","volume":"50 3","pages":"733 - 755"},"PeriodicalIF":0.6,"publicationDate":"2024-07-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"https://link.springer.com/content/pdf/10.1007/s10476-024-00035-8.pdf","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"141504666","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
Difference analogues of the second main theorem for holomorphic curves and arbitrary families of hypersurfaces in projective varieties 全形曲线和投影面中任意超曲面族第二主定理的差分类似物
IF 0.6 3区 数学
Analysis Mathematica Pub Date : 2024-07-01 DOI: 10.1007/s10476-024-00036-7
T. B. Cao, N. V. Thin, S. D. Quang
{"title":"Difference analogues of the second main theorem for holomorphic curves and arbitrary families of hypersurfaces in projective varieties","authors":"T. B. Cao,&nbsp;N. V. Thin,&nbsp;S. D. Quang","doi":"10.1007/s10476-024-00036-7","DOIUrl":"10.1007/s10476-024-00036-7","url":null,"abstract":"<div><p>Our goal in this paper is to establish some difference analogue of second main theorems for holomorphic curves into projective varieties intersecting arbitrary families of <i>c</i>-periodical hypersurfaces (fixed or moving) with truncated counting functions in various cases. Our results generalize and improve the previous results in this topic.</p></div>","PeriodicalId":55518,"journal":{"name":"Analysis Mathematica","volume":"50 3","pages":"757 - 785"},"PeriodicalIF":0.6,"publicationDate":"2024-07-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"141519103","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: Homeomorphisms On The Real Line Preserving BMO And BLO 更正：保留 BMO 和 BLO 的实线上的同构
IF 0.6 3区 数学
Analysis Mathematica Pub Date : 2024-06-26 DOI: 10.1007/s10476-024-00019-8
A Popoli
{"title":"Correction to: Homeomorphisms On The Real Line Preserving BMO And BLO","authors":"A Popoli","doi":"10.1007/s10476-024-00019-8","DOIUrl":"10.1007/s10476-024-00019-8","url":null,"abstract":"","PeriodicalId":55518,"journal":{"name":"Analysis Mathematica","volume":"50 2","pages":"731 - 731"},"PeriodicalIF":0.6,"publicationDate":"2024-06-26","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"142413945","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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