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On the duality of disjoint limited completely continuous operators 关于不相交有限完全连续算子的对偶性
IF 0.5
ACTA SCIENTIARUM MATHEMATICARUM Pub Date : 2025-03-31 DOI: 10.1007/s44146-025-00180-y
N. Hafidi, J. H’Michane, L. Zraoula
{"title":"On the duality of disjoint limited completely continuous operators","authors":"N. Hafidi,&nbsp;J. H’Michane,&nbsp;L. Zraoula","doi":"10.1007/s44146-025-00180-y","DOIUrl":"10.1007/s44146-025-00180-y","url":null,"abstract":"<div><p>We study the duality problem for the class of disjoint limited completely continuous operators.\u0000 As consequence, we give a generalization of a result given in H’michane et al. (Operators Matrices 8:593599, 2014. https://doi.org/10.7153/oam-08-31) about the direct duality problem and we give the correct version of the result given in H’michane et al. (Operators Matrices 8:593599, 2014. https://doi.org/10.7153/oam-08-31) about the reciprocal duality problem for the class of limited completely continuous operators.</p></div>","PeriodicalId":46939,"journal":{"name":"ACTA SCIENTIARUM MATHEMATICARUM","volume":"91 1-2","pages":"213 - 218"},"PeriodicalIF":0.5,"publicationDate":"2025-03-31","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"143938404","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":0,"RegionCategory":"","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
引用次数: 0
Sufficient conditions for the weighted integrability of Fourier–Helgason transforms in the (L^{p})-space on Damek–Ricci spaces Damek-Ricci空间(L^{p}) -空间中Fourier-Helgason变换权可积性的充分条件
IF 0.5
ACTA SCIENTIARUM MATHEMATICARUM Pub Date : 2025-02-24 DOI: 10.1007/s44146-025-00178-6
Salah El Ouadih
{"title":"Sufficient conditions for the weighted integrability of Fourier–Helgason transforms in the (L^{p})-space on Damek–Ricci spaces","authors":"Salah El Ouadih","doi":"10.1007/s44146-025-00178-6","DOIUrl":"10.1007/s44146-025-00178-6","url":null,"abstract":"<div><p>In this paper, we give sufficient conditions for functions defined on the <span>(L^{p})</span>-space on Damek–Ricci spaces, <span>(1&lt;ple 2)</span>, providing the weighted integrability of their Fourier–Helgason transforms. These results generalize a famous Titchmarsh’s theorem and Younis’ theorem, due to El Ouadih and Daher on Damek–Ricci spaces (El Ouadih and Daher in L C R Math Acad Sci Paris 359:675–685, 2021).\u0000</p></div>","PeriodicalId":46939,"journal":{"name":"ACTA SCIENTIARUM MATHEMATICARUM","volume":"91 1-2","pages":"181 - 193"},"PeriodicalIF":0.5,"publicationDate":"2025-02-24","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"143938331","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":0,"RegionCategory":"","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
引用次数: 0
Correction: New characterizations of operator monotone functions 修正：算子单调函数的新表征
IF 0.5
ACTA SCIENTIARUM MATHEMATICARUM Pub Date : 2025-01-30 DOI: 10.1007/s44146-025-00174-w
Bich Khue Vo, Trung Hoa Dinh, Hiroyuki Osaka
{"title":"Correction: New characterizations of operator monotone functions","authors":"Bich Khue Vo,&nbsp;Trung Hoa Dinh,&nbsp;Hiroyuki Osaka","doi":"10.1007/s44146-025-00174-w","DOIUrl":"10.1007/s44146-025-00174-w","url":null,"abstract":"","PeriodicalId":46939,"journal":{"name":"ACTA SCIENTIARUM MATHEMATICARUM","volume":"91 1-2","pages":"341 - 342"},"PeriodicalIF":0.5,"publicationDate":"2025-01-30","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"143938351","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":0,"RegionCategory":"","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
引用次数: 0
New characterizations of operator monotone functions 算子单调函数的新特征
IF 0.5
ACTA SCIENTIARUM MATHEMATICARUM Pub Date : 2024-11-26 DOI: 10.1007/s44146-024-00167-1
Bich Khue Vo, Trung Hoa Dinh, Hiroyuki Osaka
{"title":"New characterizations of operator monotone functions","authors":"Bich Khue Vo,&nbsp;Trung Hoa Dinh,&nbsp;Hiroyuki Osaka","doi":"10.1007/s44146-024-00167-1","DOIUrl":"10.1007/s44146-024-00167-1","url":null,"abstract":"<div><p>In this paper, we establish some new characterizations of operator monotone functions using matrix mean inequalities.\u0000</p></div>","PeriodicalId":46939,"journal":{"name":"ACTA SCIENTIARUM MATHEMATICARUM","volume":"90 3-4","pages":"623 - 636"},"PeriodicalIF":0.5,"publicationDate":"2024-11-26","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"142826097","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":0,"RegionCategory":"","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
引用次数: 0
Béla Szőkefalvi-Nagy Medal 2024 贝拉-绍克法尔维--2024 年大奖章
IF 0.5
ACTA SCIENTIARUM MATHEMATICARUM Pub Date : 2024-11-25 DOI: 10.1007/s44146-024-00168-0
{"title":"Béla Szőkefalvi-Nagy Medal 2024","authors":"","doi":"10.1007/s44146-024-00168-0","DOIUrl":"10.1007/s44146-024-00168-0","url":null,"abstract":"","PeriodicalId":46939,"journal":{"name":"ACTA SCIENTIARUM MATHEMATICARUM","volume":"90 3-4","pages":"323 - 324"},"PeriodicalIF":0.5,"publicationDate":"2024-11-25","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"142826204","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":0,"RegionCategory":"","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
引用次数: 0
Ergodic theorems for the (L^1)-Karcher mean (L^1) -Karcher均值的遍历定理
IF 0.5
ACTA SCIENTIARUM MATHEMATICARUM Pub Date : 2024-11-21 DOI: 10.1007/s44146-024-00154-6
Jorge Antezana, Eduardo Ghiglioni, Yongdo Lim, Miklós Pálfia
{"title":"Ergodic theorems for the (L^1)-Karcher mean","authors":"Jorge Antezana,&nbsp;Eduardo Ghiglioni,&nbsp;Yongdo Lim,&nbsp;Miklós Pálfia","doi":"10.1007/s44146-024-00154-6","DOIUrl":"10.1007/s44146-024-00154-6","url":null,"abstract":"<div><p>Recently the Karcher mean has been extended to the case of probability measures of positive operators on infinite-dimensional Hilbert spaces as the unique solution of a nonlinear operator equation on the convex Banach-Finsler manifold of positive operators. Let <span>((Omega ,mu ))</span> be a probability space, and let <span>(tau :Omega rightarrow Omega )</span> be a totally ergodic map. The main result of this paper is a new ergodic theorem for functions <span>( Fin L^1(Omega ,mathbb {P}))</span>, where <span>(mathbb {P})</span> is the open cone of the strictly positive operators acting on a (separable) Hilbert space. In our result, we use inductive means to average the elements of the orbit, and we prove that almost surely these averages converge to the Karcher mean of the push-forward measure <span>(F_*(mu ))</span>. From our result, we recover the strong law of large numbers and the “no dice” results proved by the third and fourth authors in the article <i>Strong law of large numbers for the</i> <span>(L^1)</span>-<i>Karcher mean</i>, Journal of Func. Anal. 279 (2020). From our main result, we also deduce an ergodic theorem for Markov chains with state space included in <span>(mathbb {P})</span>.</p></div>","PeriodicalId":46939,"journal":{"name":"ACTA SCIENTIARUM MATHEMATICARUM","volume":"90 3-4","pages":"575 - 591"},"PeriodicalIF":0.5,"publicationDate":"2024-11-21","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"142826433","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":0,"RegionCategory":"","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
引用次数: 0
Systems of first order ordinary differential equations allowing a given 3-dimensional Lie group as a subgroup of their symmetry group 一阶常微分方程系统允许给定的三维李群作为其对称群的子群
IF 0.5
ACTA SCIENTIARUM MATHEMATICARUM Pub Date : 2024-09-23 DOI: 10.1007/s44146-024-00157-3
Kornélia Ficzere, Ágota Figula
{"title":"Systems of first order ordinary differential equations allowing a given 3-dimensional Lie group as a subgroup of their symmetry group","authors":"Kornélia Ficzere,&nbsp;Ágota Figula","doi":"10.1007/s44146-024-00157-3","DOIUrl":"10.1007/s44146-024-00157-3","url":null,"abstract":"<div><p>We determine systems of the first order ordinary differential equations such that their group of symmetries contains a three-dimensional Lie subgroup <i>G</i>. We represent the basis vectors of the Lie algebra <span>(mathfrak {g})</span> of <i>G</i> by vector fields in the three-dimensional real space. Two cases are distinguished according to whether the infinitesimal generators of <span>(mathfrak {g})</span> do not contain any component or contain component with respect to the independent variable of the system.</p></div>","PeriodicalId":46939,"journal":{"name":"ACTA SCIENTIARUM MATHEMATICARUM","volume":"91 1-2","pages":"57 - 82"},"PeriodicalIF":0.5,"publicationDate":"2024-09-23","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"https://link.springer.com/content/pdf/10.1007/s44146-024-00157-3.pdf","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"143938674","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":0,"RegionCategory":"","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"OA","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
引用次数: 0
On restrictions of operators on Hilbert space to a half-space 希尔伯特空间上算子对半空间的限制
IF 0.5
ACTA SCIENTIARUM MATHEMATICARUM Pub Date : 2024-09-23 DOI: 10.1007/s44146-024-00161-7
Sami Hamid, Carl Pearcy
{"title":"On restrictions of operators on Hilbert space to a half-space","authors":"Sami Hamid,&nbsp;Carl Pearcy","doi":"10.1007/s44146-024-00161-7","DOIUrl":"10.1007/s44146-024-00161-7","url":null,"abstract":"<div><p>This paper is a sequel to Jung (Bull Aust Math Soc 97: 133–140, 2018) that was originally written concurrently with Jung (Bull Aust Math Soc 97: 133–140, 2018). In that paper we transferred the discussions in Androulakis (Int Eq Op Th 65: 473–484, 2009) and Popov (J Funct Anal 265: 257–265, 2013) concerning almost invariant half-spaces for operators on complex Banach spaces to the context of operators on Hilbert space, and we gave slightly simpler proofs of the main results in Androulakis (Int Eq Op Th 65: 473–484, 2009) and Popov (J Funct Anal 265: 257–265, 2013) in that context. In the present paper we discuss a consequence of the main construction in Jung (Bull Aust Math Soc 97: 133–140, 2018) for the restriction to a half-space of a certain large class of operators on Hilbert space.</p></div>","PeriodicalId":46939,"journal":{"name":"ACTA SCIENTIARUM MATHEMATICARUM","volume":"91 1-2","pages":"219 - 225"},"PeriodicalIF":0.5,"publicationDate":"2024-09-23","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"143938675","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":0,"RegionCategory":"","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
引用次数: 0
Computational aspects of the geometric mean of two matrices: a survey 两个矩阵的几何平均值的计算方面：综述
IF 0.5
ACTA SCIENTIARUM MATHEMATICARUM Pub Date : 2024-09-04 DOI: 10.1007/s44146-024-00155-5
Dario A. Bini, Bruno Iannazzo
{"title":"Computational aspects of the geometric mean of two matrices: a survey","authors":"Dario A. Bini,&nbsp;Bruno Iannazzo","doi":"10.1007/s44146-024-00155-5","DOIUrl":"10.1007/s44146-024-00155-5","url":null,"abstract":"<div><p>Algorithms for the computation of the (weighted) geometric mean <i>G</i> of two positive definite matrices are described and discussed. For large and sparse matrices the problem of computing the product <span>(y=Gb)</span>, and of solving the linear system <span>(Gx=b)</span>, without forming <i>G</i>, is addressed. An analysis of the conditioning is provided. Substantial numerical experimentation is carried out to test and compare the performances of these algorithms in terms of CPU time, numerical stability, and number of iterative steps.</p></div>","PeriodicalId":46939,"journal":{"name":"ACTA SCIENTIARUM MATHEMATICARUM","volume":"90 3-4","pages":"349 - 389"},"PeriodicalIF":0.5,"publicationDate":"2024-09-04","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"https://link.springer.com/content/pdf/10.1007/s44146-024-00155-5.pdf","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"142826234","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":0,"RegionCategory":"","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"OA","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
引用次数: 0
Fixed point theorems for almost and utmost acyclic contractions 几乎和极大无循环收缩的不动点定理
IF 0.5
ACTA SCIENTIARUM MATHEMATICARUM Pub Date : 2024-08-14 DOI: 10.1007/s44146-024-00156-4
S. Sadiq Basha
{"title":"Fixed point theorems for almost and utmost acyclic contractions","authors":"S. Sadiq Basha","doi":"10.1007/s44146-024-00156-4","DOIUrl":"10.1007/s44146-024-00156-4","url":null,"abstract":"<div><p>The purpose of this article is to prove fixed point theorems for new classes of acyclic mappings known as almost acyclic contractions and utmost acyclic contractions in the framework of a uniformly convex Banach space. Further, it is interesting to observe that a best proximity point theorem for cyclic contractions is elicited as an application of one of the fixed point theorems.</p></div>","PeriodicalId":46939,"journal":{"name":"ACTA SCIENTIARUM MATHEMATICARUM","volume":"91 1-2","pages":"83 - 93"},"PeriodicalIF":0.5,"publicationDate":"2024-08-14","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"143938272","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":0,"RegionCategory":"","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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