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Mediterranean Journal of Mathematics最新文献

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Isomorphisms Between the Multiplier Algebras of Certain Topological Algebras 某些拓扑代数的乘法器代数之间的同构关系
IF 1.1 3区 数学
Mediterranean Journal of Mathematics Pub Date : 2024-04-25 DOI: 10.1007/s00009-024-02647-8
Marina Haralampidou, Lourdes Palacios, Carlos Signoret
{"title":"Isomorphisms Between the Multiplier Algebras of Certain Topological Algebras","authors":"Marina Haralampidou, Lourdes Palacios, Carlos Signoret","doi":"10.1007/s00009-024-02647-8","DOIUrl":"https://doi.org/10.1007/s00009-024-02647-8","url":null,"abstract":"<p>We study the topological algebra identification of the multiplier algebra of a certain algebra <i>E</i> and that of a closed left ideal in <i>E</i>. The case when one of the algebras is a Segal topological algebra in the other is considered. We also study this problem in the context of locally <span>(C^{*})</span>-algebras.</p>","PeriodicalId":49829,"journal":{"name":"Mediterranean Journal of Mathematics","volume":null,"pages":null},"PeriodicalIF":1.1,"publicationDate":"2024-04-25","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"140799776","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
Stable Maps from $$#^n(S^1times S^2)$$ to the Euclidean 3-Space 从$$#^n(S^1times S^2)$$到欧氏3空间的稳定映射
IF 1.1 3区 数学
Mediterranean Journal of Mathematics Pub Date : 2024-04-25 DOI: 10.1007/s00009-024-02644-x
N. B. Huamaní, C. M. de Jesus, J. Palacios
{"title":"Stable Maps from $$#^n(S^1times S^2)$$ to the Euclidean 3-Space","authors":"N. B. Huamaní, C. M. de Jesus, J. Palacios","doi":"10.1007/s00009-024-02644-x","DOIUrl":"https://doi.org/10.1007/s00009-024-02644-x","url":null,"abstract":"","PeriodicalId":49829,"journal":{"name":"Mediterranean Journal of Mathematics","volume":null,"pages":null},"PeriodicalIF":1.1,"publicationDate":"2024-04-25","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"140656350","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
Finiteness of Cohomology for Pro-locally Proper Maps 原位适当映射的同调有限性
IF 1.1 3区 数学
Mediterranean Journal of Mathematics Pub Date : 2024-04-25 DOI: 10.1007/s00009-024-02646-9
Javier Sánchez González
{"title":"Finiteness of Cohomology for Pro-locally Proper Maps","authors":"Javier Sánchez González","doi":"10.1007/s00009-024-02646-9","DOIUrl":"https://doi.org/10.1007/s00009-024-02646-9","url":null,"abstract":"<p>We introduce a notion of proper morphism for schematic finite spaces and prove the analog of Grothendieck’s finiteness theorem for it. The techniques we employ, which further develop the theory of schematic spaces and <i>proschemes</i>, are ultimately founded on descent properties of flat epimorphisms of rings that are applicable in other situations in order to weaken finite presentation requirements.</p>","PeriodicalId":49829,"journal":{"name":"Mediterranean Journal of Mathematics","volume":null,"pages":null},"PeriodicalIF":1.1,"publicationDate":"2024-04-25","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"140799838","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
Abelian Semigroups of Matrices on $${mathbb {K}}^{n}$$ and Convex-Cyclicity $${mathbb {K}}^{n}$ 上矩阵的阿贝尔半群与凸周期性
IF 1.1 3区 数学
Mediterranean Journal of Mathematics Pub Date : 2024-04-23 DOI: 10.1007/s00009-024-02641-0
Salah Herzi
{"title":"Abelian Semigroups of Matrices on $${mathbb {K}}^{n}$$ and Convex-Cyclicity","authors":"Salah Herzi","doi":"10.1007/s00009-024-02641-0","DOIUrl":"https://doi.org/10.1007/s00009-024-02641-0","url":null,"abstract":"","PeriodicalId":49829,"journal":{"name":"Mediterranean Journal of Mathematics","volume":null,"pages":null},"PeriodicalIF":1.1,"publicationDate":"2024-04-23","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"140667561","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
Existence Results for Positive Periodic Solutions to First-Order Neutral Differential Equations 一阶中性微分方程正周期解的存在性结果
IF 1.1 3区 数学
Mediterranean Journal of Mathematics Pub Date : 2024-04-22 DOI: 10.1007/s00009-024-02635-y
T. Candan
{"title":"Existence Results for Positive Periodic Solutions to First-Order Neutral Differential Equations","authors":"T. Candan","doi":"10.1007/s00009-024-02635-y","DOIUrl":"https://doi.org/10.1007/s00009-024-02635-y","url":null,"abstract":"<p>By utilizing Krasnoselskii’s fixed point theorem, we examine a specific class of first-order neutral nonlinear differential equations and establish criteria for the existence of positive periodic solutions. The theoretical framework developed in this study is substantiated by an illustrative example.</p>","PeriodicalId":49829,"journal":{"name":"Mediterranean Journal of Mathematics","volume":null,"pages":null},"PeriodicalIF":1.1,"publicationDate":"2024-04-22","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"140636350","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
Ruled Surfaces in 3-Dimensional Riemannian Manifolds 三维黎曼频域中的规则曲面
IF 1.1 3区 数学
Mediterranean Journal of Mathematics Pub Date : 2024-04-13 DOI: 10.1007/s00009-024-02631-2
Marco Castrillón López, M. Eugenia Rosado, Alberto Soria
{"title":"Ruled Surfaces in 3-Dimensional Riemannian Manifolds","authors":"Marco Castrillón López, M. Eugenia Rosado, Alberto Soria","doi":"10.1007/s00009-024-02631-2","DOIUrl":"https://doi.org/10.1007/s00009-024-02631-2","url":null,"abstract":"<p>In this work, ruled surfaces in 3-dimensional Riemannian manifolds are studied. We determine the expressions for the extrinsic and sectional curvatures of a parametrized ruled surface, where the former one is shown to be non-positive. We also quantify the set of ruling vector fields along a given base curve which allows us to define a relevant reference frame that we refer to as <i>Sannia frame</i>. The fundamental theorem of existence and equivalence of Sannia ruled surfaces in terms of a system of invariants is given. The second part of the article tackles the concept of the striction curve, which is proven to be the set of points where the so-called <i>Jacobi evolution function</i> vanishes on a ruled surface. This characterisation of striction curves provides independent proof for their existence and uniqueness in space forms and disproves their existence or uniqueness in some other cases.</p>","PeriodicalId":49829,"journal":{"name":"Mediterranean Journal of Mathematics","volume":null,"pages":null},"PeriodicalIF":1.1,"publicationDate":"2024-04-13","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"140570162","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
Positivity and Positivity-Definiteness for Cauchy Powers of Linear Functionals on the Linear Space of Polynomials 多项式线性空间上线性函数 Cauchy Powers 的正定性和正定-定义性
IF 1.1 3区 数学
Mediterranean Journal of Mathematics Pub Date : 2024-04-12 DOI: 10.1007/s00009-024-02636-x
Ridha Sfaxi
{"title":"Positivity and Positivity-Definiteness for Cauchy Powers of Linear Functionals on the Linear Space of Polynomials","authors":"Ridha Sfaxi","doi":"10.1007/s00009-024-02636-x","DOIUrl":"https://doi.org/10.1007/s00009-024-02636-x","url":null,"abstract":"<p>In this paper, an exploration is undertaken into positivity and positivity-definiteness within the Cauchy product and self-product, which encompass normalized linear functionals applied to the space of real polynomials. We reveal that for two normalized linear functionals, <span>(mathscr {U})</span> and <span>(mathscr {V})</span>, the positivity-definiteness of <span>(mathscr {V}mathscr {U})</span> and the positivity of <span>(mathscr {V}mathscr {U}^{-1})</span> imply the positive-definiteness of <span>(mathscr {V})</span>. Additionally, if <span>(mathscr {U}^2)</span> is positive-definite (resp. positive), and <span>(mathscr {V}^2)</span> is positive, then <span>(mathscr {U}mathscr {V})</span> is positive-definite (resp. positive). The extension of the integer Cauchy power to the real powers of a linear functional introduces the concept of the index of positivity for linear functionals. We establish some properties of the index map. Finally, we determine the index of positivity for various linear functionals, including the Dirac mass at any real point and some linear functionals with semi-classical character.</p>","PeriodicalId":49829,"journal":{"name":"Mediterranean Journal of Mathematics","volume":null,"pages":null},"PeriodicalIF":1.1,"publicationDate":"2024-04-12","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"140603100","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 a Class of Integrals of Beta Family: Series Representations and Fractional Maps 论 Beta 族的一类积分：数列表示和分数映射
IF 1.1 3区 数学
Mediterranean Journal of Mathematics Pub Date : 2024-04-11 DOI: 10.1007/s00009-024-02639-8
Dilip Kumar, M. A. Pathan
{"title":"On a Class of Integrals of Beta Family: Series Representations and Fractional Maps","authors":"Dilip Kumar, M. A. Pathan","doi":"10.1007/s00009-024-02639-8","DOIUrl":"https://doi.org/10.1007/s00009-024-02639-8","url":null,"abstract":"<p>Two generalized integrals of the beta family are the prime focus of this paper. By taking into account the generalized integral of the beta family, the series and integral representations are created through generalized special functions. Also covered are the fractional maps of Saigo, Riemann–Liouville, and Kober operators with the extended beta function. Results for classical beta function and extended beta functions were proved as special cases.</p>","PeriodicalId":49829,"journal":{"name":"Mediterranean Journal of Mathematics","volume":null,"pages":null},"PeriodicalIF":1.1,"publicationDate":"2024-04-11","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"140570334","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 Singular System of Schrödinger-Maxwell Equations 薛定谔-麦克斯韦方程的奇异系统
IF 1.1 3区 数学
Mediterranean Journal of Mathematics Pub Date : 2024-04-10 DOI: 10.1007/s00009-024-02632-1
Lucio Boccardo, Luigi Orsina
{"title":"A Singular System of Schrödinger-Maxwell Equations","authors":"Lucio Boccardo, Luigi Orsina","doi":"10.1007/s00009-024-02632-1","DOIUrl":"https://doi.org/10.1007/s00009-024-02632-1","url":null,"abstract":"<p>We study existence of solutions for the singular system of Schrödinger-Maxwell equations </p><span>$$begin{aligned} begin{aligned} left{ begin{array}{l} u in W^{1,2}_{0}(Omega ):, -{{,text {div},}}(A(x)nabla u) + psi ^{theta },u^{r-1} = f(x), psi in W^{1,2}_{0}(Omega ):, -{{,text {div},}}(B(x)nabla psi ) = dfrac{u^{r}}{psi ^{1-theta }}. end{array} right. end{aligned} end{aligned}$$</span><p>Here <span>(r &gt; 1)</span>, <span>(0&lt; theta &lt; 1)</span>, and <span>(f(x) ge 0)</span> belongs to suitable Lebesgue spaces. We will also prove that the solution <span>((u,psi ))</span> is a saddle point of a suitable functional.</p>","PeriodicalId":49829,"journal":{"name":"Mediterranean Journal of Mathematics","volume":null,"pages":null},"PeriodicalIF":1.1,"publicationDate":"2024-04-10","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"140570411","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
Makar–Limanov Invariants of Nonnormal Affine Toric Varieties 非正态仿正弦环变体的马卡-利马诺夫不变式
IF 1.1 3区 数学
Mediterranean Journal of Mathematics Pub Date : 2024-04-09 DOI: 10.1007/s00009-024-02619-y
Ilya Boldyrev
{"title":"Makar–Limanov Invariants of Nonnormal Affine Toric Varieties","authors":"Ilya Boldyrev","doi":"10.1007/s00009-024-02619-y","DOIUrl":"https://doi.org/10.1007/s00009-024-02619-y","url":null,"abstract":"<p>In this paper, we study the Makar–Limanov invariant and its modifications in the case of not necessary normal affine toric varieties. We prove the equality of the Makar–Limanov invariant and the modified Makar–Limanov invariant in this case.</p>","PeriodicalId":49829,"journal":{"name":"Mediterranean Journal of Mathematics","volume":null,"pages":null},"PeriodicalIF":1.1,"publicationDate":"2024-04-09","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"140570174","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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