发布求助
文献互助 智能选刊 最新文献

ACTA SCIENTIARUM MATHEMATICARUM最新文献

筛选
英文 中文
Strong summability of double Vilenkin–Fourier series 二重维伦金-傅里叶级数的强可和性
IF 0.5
ACTA SCIENTIARUM MATHEMATICARUM Pub Date : 2023-05-04 DOI: 10.1007/s44146-023-00084-9
U. Goginava, K. Nagy
{"title":"Strong summability of double Vilenkin–Fourier series","authors":"U. Goginava, K. Nagy","doi":"10.1007/s44146-023-00084-9","DOIUrl":"https://doi.org/10.1007/s44146-023-00084-9","url":null,"abstract":"","PeriodicalId":46939,"journal":{"name":"ACTA SCIENTIARUM MATHEMATICARUM","volume":"28 1","pages":"1-24"},"PeriodicalIF":0.5,"publicationDate":"2023-05-04","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"82256080","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
Monogenity in totally real extensions of imaginary quadratic fields with an application to simplest quartic fields 虚二次域全实扩展中的单调性及其在最简四次域中的应用
IF 0.5
ACTA SCIENTIARUM MATHEMATICARUM Pub Date : 2023-04-28 DOI: 10.1007/s44146-023-00081-y
István Gaál
{"title":"Monogenity in totally real extensions of imaginary quadratic fields with an application to simplest quartic fields","authors":"István Gaál","doi":"10.1007/s44146-023-00081-y","DOIUrl":"10.1007/s44146-023-00081-y","url":null,"abstract":"<div><p>We describe an efficient algorithm to calculate generators of power integral bases in composites of totally real fields and imaginary quadratic fields with coprime discriminants. We show that the calculation can be reduced to solving index form equations in the original totally real fields. We illustrate our method by investigating monogenity in the infinite parametric family of imaginary quadratic extensions of the simplest quartic fields.</p></div>","PeriodicalId":46939,"journal":{"name":"ACTA SCIENTIARUM MATHEMATICARUM","volume":"89 1-2","pages":"3 - 12"},"PeriodicalIF":0.5,"publicationDate":"2023-04-28","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"https://link.springer.com/content/pdf/10.1007/s44146-023-00081-y.pdf","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"50519456","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
Infinitely many new properties of the congruence lattices of slim semimodular lattices 超薄半模格的同余格的无穷多个新性质
IF 0.5
ACTA SCIENTIARUM MATHEMATICARUM Pub Date : 2023-04-27 DOI: 10.1007/s44146-023-00069-8
Gábor Czédli
{"title":"Infinitely many new properties of the congruence lattices of slim semimodular lattices","authors":"Gábor Czédli","doi":"10.1007/s44146-023-00069-8","DOIUrl":"10.1007/s44146-023-00069-8","url":null,"abstract":"<div><p>Slim planar semimodular lattices (SPS lattices or slim semimodular lattices for short) were introduced by G. Grätzer and E. Knapp in 2007. More than four dozen papers have been devoted to these (necessarily finite) lattices and their congruence lattices since then. In addition to distributivity, the congruence lattices of SPS lattices satisfy seven known properties. Out of these seven properties, the first two were published by G. Grätzer in 2016 and 2020, the next four by the present author in 2021, and the seventh jointly by G. Grätzer and the present author in 2022. Here we give two infinite families of new properties of the congruence lattices of SPS lattices. These properties are independent. We also present stronger versions of these properties but not all of them are independent, and improve three out of the seven previously known properties. The approach is based on lamps, which we introduced in a 2021 paper. In addition to using the 2021 results, we need to prove some easy new lemmas on lamps.</p></div>","PeriodicalId":46939,"journal":{"name":"ACTA SCIENTIARUM MATHEMATICARUM","volume":"89 3-4","pages":"319 - 337"},"PeriodicalIF":0.5,"publicationDate":"2023-04-27","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"89066063","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: 3
Spectral subspaces of spectra of Abelian lattice-ordered groups in size aleph one 大小为1的阿贝尔格序群谱的谱子空间
IF 0.5
ACTA SCIENTIARUM MATHEMATICARUM Pub Date : 2023-04-27 DOI: 10.1007/s44146-023-00080-z
Miroslav Ploščica, Friedrich Wehrung
{"title":"Spectral subspaces of spectra of Abelian lattice-ordered groups in size aleph one","authors":"Miroslav Ploščica,&nbsp;Friedrich Wehrung","doi":"10.1007/s44146-023-00080-z","DOIUrl":"10.1007/s44146-023-00080-z","url":null,"abstract":"<div><p>It is well known that the lattice <span>({{,mathrm{Id_c},}}{G})</span> of all principal <span>(ell )</span>-ideals of any Abelian <span>(ell )</span>-group <i>G</i> is a completely normal distributive 0-lattice; yet not every completely normal distributive 0-lattice is a homomorphic image of some <span>({{,mathrm{Id_c},}}{G})</span>, <i>via</i> a counterexample of cardinality <span>(aleph _2)</span>. We prove that every completely normal distributive 0-lattice with at most <span>(aleph _1)</span> elements is a homomorphic image of some <span>({{,mathrm{Id_c},}}{G})</span>. By Stone duality, this means that every completely normal generalized spectral space with at most <span>(aleph _1)</span> compact open sets is homeomorphic to a spectral subspace of the <span>(ell )</span>-spectrum of some Abelian <span>(ell )</span>-group.</p></div>","PeriodicalId":46939,"journal":{"name":"ACTA SCIENTIARUM MATHEMATICARUM","volume":"89 3-4","pages":"339 - 356"},"PeriodicalIF":0.5,"publicationDate":"2023-04-27","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"85152045","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: 2
Weighted composition–differentiation operators in the uniformly closed algebra generated by weighted composition operators 加权合成算子生成的一致闭代数中的加权合成-微分算子
IF 0.5
ACTA SCIENTIARUM MATHEMATICARUM Pub Date : 2023-04-25 DOI: 10.1007/s44146-023-00083-w
Gajath Gunatillake
{"title":"Weighted composition–differentiation operators in the uniformly closed algebra generated by weighted composition operators","authors":"Gajath Gunatillake","doi":"10.1007/s44146-023-00083-w","DOIUrl":"10.1007/s44146-023-00083-w","url":null,"abstract":"<div><p>Let <span>(varphi )</span> be an analytic self map of the open unit disc <span>(mathbb {D})</span>. Assume that <span>(psi )</span> is an analytic map of <span>(mathbb {D})</span>. Suppose that <i>f</i> is in the Hardy space of the open unit disc <span>(H^p)</span>. The operator that takes <i>f</i> into <span>(psi cdot f circ varphi )</span> is a weighted composition operator, and is denoted by <span>(C_{psi ,varphi })</span>. The operator that takes <i>f</i> into <span>(psi cdot f^prime circ varphi )</span> is a weighted composition-differentiation operator. We prove that some weighted composition-differentiation operators belong to the closed algebra generated by weighted composition operators in the uniform operator topology.</p></div>","PeriodicalId":46939,"journal":{"name":"ACTA SCIENTIARUM MATHEMATICARUM","volume":"89 1-2","pages":"53 - 60"},"PeriodicalIF":0.5,"publicationDate":"2023-04-25","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"https://link.springer.com/content/pdf/10.1007/s44146-023-00083-w.pdf","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"50511783","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
Some results on matrix transformation and compactness for fibonomial sequence spaces 关于非组序列空间的矩阵变换和紧性的一些结果
IF 0.5
ACTA SCIENTIARUM MATHEMATICARUM Pub Date : 2023-04-24 DOI: 10.1007/s44146-023-00087-6
Muhammet Cihat Dağlı, Taja Yaying
{"title":"Some results on matrix transformation and compactness for fibonomial sequence spaces","authors":"Muhammet Cihat Dağlı,&nbsp;Taja Yaying","doi":"10.1007/s44146-023-00087-6","DOIUrl":"10.1007/s44146-023-00087-6","url":null,"abstract":"<div><p>In this paper, we introduce the Fibonomial sequence spaces <span>(b_{0}^{r,s,F})</span> and <span>(b_{c}^{r,s,F})</span> and show that these are linearly isomorphic to the spaces <span>(c_{0})</span> and <i>c</i>,  respectively. In addition, we present <span>(alpha -)</span>dual, <span>(beta -)</span>dual and <span>(gamma -)</span>dual for those spaces and characterize certain matrix classes. In the final section, we obtain some criteria for the compactness of certain matrix operators via Hausdorff measure of noncompactness on the space <span>(b_{0}^{r,s,F}.)</span></p></div>","PeriodicalId":46939,"journal":{"name":"ACTA SCIENTIARUM MATHEMATICARUM","volume":"89 3-4","pages":"593 - 609"},"PeriodicalIF":0.5,"publicationDate":"2023-04-24","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"82706851","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
Some results on the classes of almost (L) limited and weakly precompact operators 关于几乎（L）有限弱预压缩算子类的一些结果
IF 0.5
ACTA SCIENTIARUM MATHEMATICARUM Pub Date : 2023-04-19 DOI: 10.1007/s44146-023-00079-6
Farid Afkir, Aziz Elbour
{"title":"Some results on the classes of almost (L) limited and weakly precompact operators","authors":"Farid Afkir,&nbsp;Aziz Elbour","doi":"10.1007/s44146-023-00079-6","DOIUrl":"10.1007/s44146-023-00079-6","url":null,"abstract":"<div><p>In the first part of this paper, we present some investigations on the class of almost (L) limited operators. We show that an operator <span>(T:X rightarrow E)</span>, from a Banach space <i>X</i> to a Banach lattice <i>E</i>, is almost (L) limited iff its adjoint carries disjoint almost L-sequences to norm null ones. In addition, we improve several results obtained by Oughajji et al. In its second part, we study the relationship between the class of weakly precompact operators and that of order weakly compact (resp. b-weakly compact) operators. Among other things, we show that for a Banach lattice <i>E</i> and a Banach space <i>X</i> the following statements are equivalent: </p><ol>\u0000 <li>\u0000 <span>(1)</span>\u0000 \u0000 <p>Every order weakly compact (resp. b-weakly compact) operator <span>(T:E rightarrow X)</span> is weakly precompact;</p>\u0000 \u0000 </li>\u0000 <li>\u0000 <span>(2)</span>\u0000 \u0000 <p>The norm of <span>(E')</span> is order continuous or <i>X</i> does not contain any isomorphic copy of <span>(ell ^ 1)</span>.</p>\u0000 \u0000 </li>\u0000 </ol></div>","PeriodicalId":46939,"journal":{"name":"ACTA SCIENTIARUM MATHEMATICARUM","volume":"89 1-2","pages":"201 - 214"},"PeriodicalIF":0.5,"publicationDate":"2023-04-19","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"50494898","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
Some results on the class of weakly sequentially precompact sets and operators 关于弱序预紧集和算子类的一些结果
IF 0.5
ACTA SCIENTIARUM MATHEMATICARUM Pub Date : 2023-04-18 DOI: 10.1007/s44146-023-00077-8
Fatima Zahra Oughajji, Kamal EL Fahri, Mohammed Moussa
{"title":"Some results on the class of weakly sequentially precompact sets and operators","authors":"Fatima Zahra Oughajji,&nbsp;Kamal EL Fahri,&nbsp;Mohammed Moussa","doi":"10.1007/s44146-023-00077-8","DOIUrl":"10.1007/s44146-023-00077-8","url":null,"abstract":"<div><p>The paper contains some results on weakly sequentially precompact sets and operators. In particular, we establish some relationships between weakly sequentially precompat operators and those whose the adjoint map (L) sets into relatively norm compact ones. Besides, we characterize the class of weak* Dunford-Pettis operators through weakly sequentially precompact operators and deduce in the sequel a new characterization of Dunford-Pettis* property. Moreover, we generalize [9, Theorem 2.5.9] and show that order weakly compact operators carry almost order Dunford-Pettis sets into weakly sequentially precompact ones. Furthermore, we prove that the product of order weakly compact operators and b-weakly compact ones maps weakly sequentially precompact sets into relatively weakly compact ones. Finally, we present some results about the positive Schur property.</p></div>","PeriodicalId":46939,"journal":{"name":"ACTA SCIENTIARUM MATHEMATICARUM","volume":"89 3-4","pages":"533 - 543"},"PeriodicalIF":0.5,"publicationDate":"2023-04-18","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"78061864","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
Weighted translation semigroups: multivariable case 加权平移半群：多变量情形
IF 0.5
ACTA SCIENTIARUM MATHEMATICARUM Pub Date : 2023-04-18 DOI: 10.1007/s44146-023-00085-8
Geetanjali M. Phatak, V. M. Sholapurkar
{"title":"Weighted translation semigroups: multivariable case","authors":"Geetanjali M. Phatak,&nbsp;V. M. Sholapurkar","doi":"10.1007/s44146-023-00085-8","DOIUrl":"10.1007/s44146-023-00085-8","url":null,"abstract":"<div><p>M. Embry and A. Lambert initiated the study of a weighted translation semigroup <span>({S_t})</span> in <span>({mathcal B}(L^2({{mathbb R}_+})),)</span> with a view to explore a continuous analogue of a weighted shift operator. We continued the work, characterized some special types of semigroups and developed an analytic model for the left invertible weighted translation semigroup. The present paper deals with the generalization of the weighted translation semigroup in multi-variable set up. We develop the toral analogue of the analytic model and also describe the spectral picture. We provide many examples of weighted translation semigroups in multi-variable case. Further, we replace the space <span>(L^2({{mathbb R}_+}))</span> by <span>(L^2({{mathbb R}_+^d}))</span> and explore the properties of weighted translation semigroup <span>({S_{overline{t}}})</span> in <span>({mathcal B}(L^2({{mathbb R}_+^d})),)</span> in both one and multi variable cases.</p></div>","PeriodicalId":46939,"journal":{"name":"ACTA SCIENTIARUM MATHEMATICARUM","volume":"89 1-2","pages":"35 - 52"},"PeriodicalIF":0.5,"publicationDate":"2023-04-18","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"https://link.springer.com/content/pdf/10.1007/s44146-023-00085-8.pdf","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"50491881","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: 1
The C-numerical range and unitary dilations c数值范围和酉膨胀
IF 0.5
ACTA SCIENTIARUM MATHEMATICARUM Pub Date : 2023-04-17 DOI: 10.1007/s44146-023-00071-0
Chi-Kwong Li
{"title":"The C-numerical range and unitary dilations","authors":"Chi-Kwong Li","doi":"10.1007/s44146-023-00071-0","DOIUrl":"10.1007/s44146-023-00071-0","url":null,"abstract":"<div><p>For an <span>(ntimes n)</span> complex matrix <i>C</i>, the <i>C</i>-numerical range of a bounded linear operator <i>T</i> acting on a Hilbert space of dimension at least <i>n</i> is the set of complex numbers <span>(textrm{tr},(CX,^*,TX))</span>, where <i>X</i> is a partial isometry satisfying <span>(X^*X = I_n)</span>. It is shown that </p><div><div><span>$$begin{aligned} textbf{cl}(W_C(T)) = cap {textbf{cl}(W_C(U)): U hbox { is a unitary dilation of } T} end{aligned}$$</span></div></div><p>for any contraction <i>T</i> if and only if <i>C</i> is a rank one normal matrix.</p></div>","PeriodicalId":46939,"journal":{"name":"ACTA SCIENTIARUM MATHEMATICARUM","volume":"89 3-4","pages":"437 - 448"},"PeriodicalIF":0.5,"publicationDate":"2023-04-17","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"72837152","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
首页 上一页 下一页 尾页
0
×
引用
GB/T 7714-2015
复制
MLA
复制
APA
复制
导出至
BibTeX EndNote RefMan NoteFirst NoteExpress
×
提示
您的信息不完整，为了账户安全，请先补充。
现在去补充
×
提示
您因"违规操作"
具体请查看互助需知
我知道了
×
提示
现在去查看 取消
×
提示
确定
请完成安全验证×
相关产品
×
本文献相关产品
联系我们：info@booksci.cn Book学术提供免费学术资源搜索服务，方便国内外学者检索中英文文献。致力于提供最便捷和优质的服务体验。 Copyright © 2023 布克学术 All rights reserved.
京ICP备2023020795号-1
ghs 京公网安备 11010802042870号
Book学术文献互助
Book学术文献互助群
群 号：481959085
Book学术官方微信