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Revista de la Real Academia de Ciencias Exactas, Físicas y Naturales. Serie A. Matemáticas最新文献

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Core partial order and core orthogonality comparing with star partial order and star orthogonality 核心偏序和核心正交与星形偏序和星形正交的比较
Revista de la Real Academia de Ciencias Exactas, Físicas y Naturales. Serie A. Matemáticas Pub Date : 2024-08-12 DOI: 10.1007/s13398-024-01652-6
Honglin Zou, Dijana Mosić, Huihui Zhu, Kezheng Zuo
{"title":"Core partial order and core orthogonality comparing with star partial order and star orthogonality","authors":"Honglin Zou, Dijana Mosić, Huihui Zhu, Kezheng Zuo","doi":"10.1007/s13398-024-01652-6","DOIUrl":"https://doi.org/10.1007/s13398-024-01652-6","url":null,"abstract":"<p>In this paper, we find that the core partial order and the star partial order not only have the same properties, but also have the difference in an arbitrary ring or a <span>(*)</span>-reducing ring. A number of new characterizations for the core, star partial order and the strong core, star orthogonality are presented, the proofs of which are only based on the ring theory. In particular, several examples are given to illustrate our results.</p>","PeriodicalId":21293,"journal":{"name":"Revista de la Real Academia de Ciencias Exactas, Físicas y Naturales. Serie A. Matemáticas","volume":"29 1","pages":""},"PeriodicalIF":0.0,"publicationDate":"2024-08-12","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"142202822","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
The coloured mutation class of $$mathbb {A}_n$$-quivers $$mathbb {A}_n$$-quivers 的彩色突变类
Revista de la Real Academia de Ciencias Exactas, Físicas y Naturales. Serie A. Matemáticas Pub Date : 2024-08-09 DOI: 10.1007/s13398-024-01647-3
Viviana Gubitosi, Rafael Parra, Claudio Qureshi
{"title":"The coloured mutation class of $$mathbb {A}_n$$-quivers","authors":"Viviana Gubitosi, Rafael Parra, Claudio Qureshi","doi":"10.1007/s13398-024-01647-3","DOIUrl":"https://doi.org/10.1007/s13398-024-01647-3","url":null,"abstract":"","PeriodicalId":21293,"journal":{"name":"Revista de la Real Academia de Ciencias Exactas, Físicas y Naturales. Serie A. Matemáticas","volume":"27 11","pages":""},"PeriodicalIF":0.0,"publicationDate":"2024-08-09","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"141923122","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
Geometric nonlinear classification of Hilbert $$C^*$$-modules based on strong Birkhoff–James orthogonality 基于强伯克霍夫-詹姆斯正交性的希尔伯特 $$C^*$$ 模块几何非线性分类
Revista de la Real Academia de Ciencias Exactas, Físicas y Naturales. Serie A. Matemáticas Pub Date : 2024-08-09 DOI: 10.1007/s13398-024-01633-9
Ljiljana Arambašić, Alexander Guterman, Bojan Kuzma, R. Rajić, Ryotaro Tanaka, S. Zhilina
{"title":"Geometric nonlinear classification of Hilbert $$C^*$$-modules based on strong Birkhoff–James orthogonality","authors":"Ljiljana Arambašić, Alexander Guterman, Bojan Kuzma, R. Rajić, Ryotaro Tanaka, S. Zhilina","doi":"10.1007/s13398-024-01633-9","DOIUrl":"https://doi.org/10.1007/s13398-024-01633-9","url":null,"abstract":"","PeriodicalId":21293,"journal":{"name":"Revista de la Real Academia de Ciencias Exactas, Físicas y Naturales. Serie A. Matemáticas","volume":"9 3","pages":""},"PeriodicalIF":0.0,"publicationDate":"2024-08-09","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"141925382","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
Inequalities for norms and numerical radii of operator matrices 算子矩阵的规范和数值半径的不等式
Revista de la Real Academia de Ciencias Exactas, Físicas y Naturales. Serie A. Matemáticas Pub Date : 2024-08-07 DOI: 10.1007/s13398-024-01650-8
Fuad Kittaneh, M. H. M. Rashid
{"title":"Inequalities for norms and numerical radii of operator matrices","authors":"Fuad Kittaneh, M. H. M. Rashid","doi":"10.1007/s13398-024-01650-8","DOIUrl":"https://doi.org/10.1007/s13398-024-01650-8","url":null,"abstract":"<p>In this paper, we aim to derive a range of numerical radius inequalities. Our work not only confirms recently demonstrated numerical radius inequalities, but also introduces more precise numerical radius inequalities compared to those previously established for specific cases. Additionally, we delve into additional properties of operator matrices and provide fresh estimates for the operator norms and numerical radii of these operators. Moreover, we establish various upper bounds for the numerical radii of <span>(2times 2)</span> operator matrices, refining and expanding the bounds previously determined.</p>","PeriodicalId":21293,"journal":{"name":"Revista de la Real Academia de Ciencias Exactas, Físicas y Naturales. Serie A. Matemáticas","volume":"42 1","pages":""},"PeriodicalIF":0.0,"publicationDate":"2024-08-07","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"141937347","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
Barely alternating real almost chains and extension operators for compact lines 紧凑线的几乎交替实链和扩展算子
Revista de la Real Academia de Ciencias Exactas, Físicas y Naturales. Serie A. Matemáticas Pub Date : 2024-08-07 DOI: 10.1007/s13398-024-01651-7
Antonio Avilés, Maciej Korpalski
{"title":"Barely alternating real almost chains and extension operators for compact lines","authors":"Antonio Avilés, Maciej Korpalski","doi":"10.1007/s13398-024-01651-7","DOIUrl":"https://doi.org/10.1007/s13398-024-01651-7","url":null,"abstract":"<p>Assume <span>(text {MA}(kappa ))</span>. We show that for every real chain of size <span>(kappa )</span> in the quotient Boolean algebra <span>(P(omega )/fin)</span> we can find an almost chain of representatives such that every <span>(nin omega )</span> oscillates at most three times along the almost chain. This is used to show that for every countable discrete extension of a separable compact line <i>K</i> of weight <span>(kappa )</span> there exists an extension operator <span>(E:C(K)longrightarrow C(L))</span> of norm at most three.</p>","PeriodicalId":21293,"journal":{"name":"Revista de la Real Academia de Ciencias Exactas, Físicas y Naturales. Serie A. Matemáticas","volume":"29 1","pages":""},"PeriodicalIF":0.0,"publicationDate":"2024-08-07","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"141937348","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
Hypercyclic and mixing composition operators on $${mathscr {O}}_M({mathbb {R}})$$ $${mathscr {O}}_M({mathbb {R}})$$ 上的超循环和混合组成算子
Revista de la Real Academia de Ciencias Exactas, Físicas y Naturales. Serie A. Matemáticas Pub Date : 2024-08-07 DOI: 10.1007/s13398-024-01649-1
Thomas Kalmes, Adam Przestacki
{"title":"Hypercyclic and mixing composition operators on $${mathscr {O}}_M({mathbb {R}})$$","authors":"Thomas Kalmes, Adam Przestacki","doi":"10.1007/s13398-024-01649-1","DOIUrl":"https://doi.org/10.1007/s13398-024-01649-1","url":null,"abstract":"<p>In this paper we characterize mixing composition operators acting on the space <span>({mathscr {O}}_M({mathbb {R}}))</span> of slowly increasing smooth functions. Moreover we relate the mixing property of those operators with the solvability of Abel’s functional equation and we give a sufficient condition for sequential hypercyclicity of composition operators on <span>({mathscr {O}}_M({mathbb {R}}))</span>. This is used to prove that many mixing composition operators are hypercyclic.</p>","PeriodicalId":21293,"journal":{"name":"Revista de la Real Academia de Ciencias Exactas, Físicas y Naturales. Serie A. Matemáticas","volume":"6 1","pages":""},"PeriodicalIF":0.0,"publicationDate":"2024-08-07","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"141937349","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
The entire solutions of some binomial difference equations 一些二项式差分方程的全解
Revista de la Real Academia de Ciencias Exactas, Físicas y Naturales. Serie A. Matemáticas Pub Date : 2024-07-30 DOI: 10.1007/s13398-024-01641-9
Zhuo Wang, Qingcai Zhang
{"title":"The entire solutions of some binomial difference equations","authors":"Zhuo Wang, Qingcai Zhang","doi":"10.1007/s13398-024-01641-9","DOIUrl":"https://doi.org/10.1007/s13398-024-01641-9","url":null,"abstract":"<p>In this paper, we obtain the difference analogue of some binomial differential equations and obtain some new difference equations which is associated with generalized Fermat type difference equations. The purpose of this paper is to show that the explicit forms and properties for the entire solutions of some non-linear binomial difference equations. Moreover, the solutions of the constant coefficient difference equation systems have also been studied.</p>","PeriodicalId":21293,"journal":{"name":"Revista de la Real Academia de Ciencias Exactas, Físicas y Naturales. Serie A. Matemáticas","volume":"86 1","pages":""},"PeriodicalIF":0.0,"publicationDate":"2024-07-30","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"141866098","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
A survey on Igusa–Todorov functions 伊古萨-托多罗夫函数概览
Revista de la Real Academia de Ciencias Exactas, Físicas y Naturales. Serie A. Matemáticas Pub Date : 2024-07-27 DOI: 10.1007/s13398-024-01648-2
Marcos Barrios, Marcelo Lanzilotta, Gustavo Mata
{"title":"A survey on Igusa–Todorov functions","authors":"Marcos Barrios, Marcelo Lanzilotta, Gustavo Mata","doi":"10.1007/s13398-024-01648-2","DOIUrl":"https://doi.org/10.1007/s13398-024-01648-2","url":null,"abstract":"<p>In this survey, we review the fundamental properties of the Igusa–Todorov functions, the <span>(phi )</span>-dimension, the <span>(psi )</span>-dimension and their generalizations.</p>","PeriodicalId":21293,"journal":{"name":"Revista de la Real Academia de Ciencias Exactas, Físicas y Naturales. Serie A. Matemáticas","volume":"42 1","pages":""},"PeriodicalIF":0.0,"publicationDate":"2024-07-27","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"141784135","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
On diamond partial order, one-sided star partial orders, and 1MP-inverses 关于菱形偏序、单边星形偏序和 1MP-inverses
Revista de la Real Academia de Ciencias Exactas, Físicas y Naturales. Serie A. Matemáticas Pub Date : 2024-07-20 DOI: 10.1007/s13398-024-01645-5
M. V. Hernández, M. B. Lattanzi, N. Thome
{"title":"On diamond partial order, one-sided star partial orders, and 1MP-inverses","authors":"M. V. Hernández, M. B. Lattanzi, N. Thome","doi":"10.1007/s13398-024-01645-5","DOIUrl":"https://doi.org/10.1007/s13398-024-01645-5","url":null,"abstract":"<p>This paper provides some new characterizations of the diamond partial order for rectangular matrices by using properties of inner inverses, minus order, and SVD decompositions. In addition, the recently introduced 1MP generalized inverse and its dual are used to characterize the diamond partial order as a <span>(mathcal{G})</span>-based one. Finally, the one-sided star partial order is investigated by using 1MP- and MP1-inverses.</p>","PeriodicalId":21293,"journal":{"name":"Revista de la Real Academia de Ciencias Exactas, Físicas y Naturales. Serie A. Matemáticas","volume":"44 1","pages":""},"PeriodicalIF":0.0,"publicationDate":"2024-07-20","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"141744083","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
Fundamental group of complex hypocycloids 复次环基本群
Revista de la Real Academia de Ciencias Exactas, Físicas y Naturales. Serie A. Matemáticas Pub Date : 2024-07-20 DOI: 10.1007/s13398-024-01644-6
Erich U. Catalán-Ramírez
{"title":"Fundamental group of complex hypocycloids","authors":"Erich U. Catalán-Ramírez","doi":"10.1007/s13398-024-01644-6","DOIUrl":"https://doi.org/10.1007/s13398-024-01644-6","url":null,"abstract":"<p>The Zariski–van Kampen theorem allows us to provide a presentation of the fundamental group for the complement of algebraic plane curves. However, certain computations require arduous work, as exemplified in the case of hypocycloids. In this paper we present the following result: <b>Theorem 1.</b> <i>The fundamental group of any complex hypocycloid with</i> <i>N</i> <i>cusps is the Artin group of the</i> <i>N</i>-<i>gon.</i> The main idea of the proof is take advantage of the symmetries inherent in the hypocycloid, allowing us to partition the domain to determine the generators of the fundamental group.</p>","PeriodicalId":21293,"journal":{"name":"Revista de la Real Academia de Ciencias Exactas, Físicas y Naturales. Serie A. Matemáticas","volume":"81 1","pages":""},"PeriodicalIF":0.0,"publicationDate":"2024-07-20","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"141744082","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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