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On simple evolution algebras of dimension two and three. Constructing simple and semisimple evolution algebras 关于二维和三维的简单演化代数。构建简单和半简单演化代数
IF 1.1 4区 数学
Linear & Multilinear Algebra Pub Date : 2024-05-13 DOI: 10.1080/03081087.2024.2352452
Yolanda Cabrera Casado, Dolores Martín Barquero, Cándido Martín González, Alicia Tocino
{"title":"On simple evolution algebras of dimension two and three. Constructing simple and semisimple evolution algebras","authors":"Yolanda Cabrera Casado, Dolores Martín Barquero, Cándido Martín González, Alicia Tocino","doi":"10.1080/03081087.2024.2352452","DOIUrl":"https://doi.org/10.1080/03081087.2024.2352452","url":null,"abstract":"This work classifies three-dimensional simple evolution algebras over arbitrary fields. For this purpose, we use tools such as the associated directed graph, the moduli set, inductive limit group, ...","PeriodicalId":49905,"journal":{"name":"Linear & Multilinear Algebra","volume":null,"pages":null},"PeriodicalIF":1.1,"publicationDate":"2024-05-13","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"141092010","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":4,"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
The parallel sum in C*-algebras C* 对象中的平行和
IF 1.1 4区 数学
Linear & Multilinear Algebra Pub Date : 2024-05-13 DOI: 10.1080/03081087.2024.2349199
Ali Zamani, Hasan Karimi, Qingxiang Xu
{"title":"The parallel sum in C*-algebras","authors":"Ali Zamani, Hasan Karimi, Qingxiang Xu","doi":"10.1080/03081087.2024.2349199","DOIUrl":"https://doi.org/10.1080/03081087.2024.2349199","url":null,"abstract":"Let A be a unital C∗-algebra with unit e and let a:b be the parallel sum of the two positive definite elements a and b of A defined by a(a+b)−1b. We show that the parallel sum a:b can be stated by ...","PeriodicalId":49905,"journal":{"name":"Linear & Multilinear Algebra","volume":null,"pages":null},"PeriodicalIF":1.1,"publicationDate":"2024-05-13","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"140915003","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":4,"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
Characterization and construction of sign regular tridiagonal matrices 符号正则三对角矩阵的特征和构造
IF 1.1 4区 数学
Linear & Multilinear Algebra Pub Date : 2024-05-09 DOI: 10.1080/03081087.2024.2348116
P. Abascal, F. Fueyo, J. Jimenez, A. Palacio, M. L. Serrano
{"title":"Characterization and construction of sign regular tridiagonal matrices","authors":"P. Abascal, F. Fueyo, J. Jimenez, A. Palacio, M. L. Serrano","doi":"10.1080/03081087.2024.2348116","DOIUrl":"https://doi.org/10.1080/03081087.2024.2348116","url":null,"abstract":"In this paper, a method for the construction of tridiagonal sign regular (SR) matrices is presented, as well as the necessary conditions to carry out this construction and the characterization of t...","PeriodicalId":49905,"journal":{"name":"Linear & Multilinear Algebra","volume":null,"pages":null},"PeriodicalIF":1.1,"publicationDate":"2024-05-09","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"141091978","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":4,"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
Nice operators and nice spaces 漂亮的操作员和漂亮的空间
IF 1.1 4区 数学
Linear & Multilinear Algebra Pub Date : 2024-05-08 DOI: 10.1080/03081087.2024.2349792
Sasan Amiri, Azin Golbaharan, Hakimeh Mahyar
{"title":"Nice operators and nice spaces","authors":"Sasan Amiri, Azin Golbaharan, Hakimeh Mahyar","doi":"10.1080/03081087.2024.2349792","DOIUrl":"https://doi.org/10.1080/03081087.2024.2349792","url":null,"abstract":"In this paper we obtain a necessary and sufficient condition for an operator on a uniform algebra to be nice. We characterize nice operators on an expansive class of Banach spaces. Then as examples...","PeriodicalId":49905,"journal":{"name":"Linear & Multilinear Algebra","volume":null,"pages":null},"PeriodicalIF":1.1,"publicationDate":"2024-05-08","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"140919482","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":4,"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
The CPO-inverse and its partial orders CPO 逆及其部分阶次
IF 1.1 4区 数学
Linear & Multilinear Algebra Pub Date : 2024-05-07 DOI: 10.1080/03081087.2024.2347575
Ju Gao, Hongxing Wang, Shuangzhe Liu
{"title":"The CPO-inverse and its partial orders","authors":"Ju Gao, Hongxing Wang, Shuangzhe Liu","doi":"10.1080/03081087.2024.2347575","DOIUrl":"https://doi.org/10.1080/03081087.2024.2347575","url":null,"abstract":"This paper introduces the core projection operator inverse and its characterizations. Using this concept, we define the P-core partial order and D-core partial order, along with their properties. T...","PeriodicalId":49905,"journal":{"name":"Linear & Multilinear Algebra","volume":null,"pages":null},"PeriodicalIF":1.1,"publicationDate":"2024-05-07","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"141091850","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":4,"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
Extremal marginals of an unbounded local completely positive and local completely contractive map 无界局部完全正图和局部完全收缩图的极值边值
IF 1.1 4区 数学
Linear & Multilinear Algebra Pub Date : 2024-05-07 DOI: 10.1080/03081087.2024.2346835
Maria Joiţa
{"title":"Extremal marginals of an unbounded local completely positive and local completely contractive map","authors":"Maria Joiţa","doi":"10.1080/03081087.2024.2346835","DOIUrl":"https://doi.org/10.1080/03081087.2024.2346835","url":null,"abstract":"In this paper, we consider the unbounded local completely positive and local completely contractive maps on a maximal tensor product of unital locally C∗-algebras and discuss on extremal points of ...","PeriodicalId":49905,"journal":{"name":"Linear & Multilinear Algebra","volume":null,"pages":null},"PeriodicalIF":1.1,"publicationDate":"2024-05-07","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"140915133","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":4,"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
Refined von Neumann-type trace inequality and its application 改进的冯-诺依曼型痕量不等式及其应用
IF 1.1 4区 数学
Linear & Multilinear Algebra Pub Date : 2024-05-05 DOI: 10.1080/03081087.2024.2349794
Yazhou Han, Cheng Yan, Xingpeng Zhao
{"title":"Refined von Neumann-type trace inequality and its application","authors":"Yazhou Han, Cheng Yan, Xingpeng Zhao","doi":"10.1080/03081087.2024.2349794","DOIUrl":"https://doi.org/10.1080/03081087.2024.2349794","url":null,"abstract":"The purpose of this note is to establish logarithmic submajorization inequalities that are associated with von Neumann's trace inequality for operators in finite von Neumann algebras. As an applica...","PeriodicalId":49905,"journal":{"name":"Linear & Multilinear Algebra","volume":null,"pages":null},"PeriodicalIF":1.1,"publicationDate":"2024-05-05","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"141091835","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":4,"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
Procrustes problem for the inverse eigenvalue problem of normal (skew) J-Hamiltonian matrices and normal J-symplectic matrices 正态（偏斜）J-哈密尔顿矩阵和正态J-交映矩阵的逆特征值问题的普罗克鲁斯问题
IF 1.1 4区 数学
Linear & Multilinear Algebra Pub Date : 2024-05-05 DOI: 10.1080/03081087.2024.2348119
S. Gigola, L. Lebtahi, N. Thome
{"title":"Procrustes problem for the inverse eigenvalue problem of normal (skew) J-Hamiltonian matrices and normal J-symplectic matrices","authors":"S. Gigola, L. Lebtahi, N. Thome","doi":"10.1080/03081087.2024.2348119","DOIUrl":"https://doi.org/10.1080/03081087.2024.2348119","url":null,"abstract":"A square complex matrix A is called (skew) J-Hamiltonian if AJ is (skew) Hermitian where J is a real normal matrix such that J2=−I, where I is the identity matrix. In this paper, we solve the Procr...","PeriodicalId":49905,"journal":{"name":"Linear & Multilinear Algebra","volume":null,"pages":null},"PeriodicalIF":1.1,"publicationDate":"2024-05-05","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"141091961","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":4,"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
Upper bounds for the norm of the sum and Kronecker product of Hilbert space operators 希尔伯特空间算子之和与克朗克积的规范上限
IF 1.1 4区 数学
Linear & Multilinear Algebra Pub Date : 2024-04-29 DOI: 10.1080/03081087.2024.2345412
Mohammad Sababheh, Hamid Reza Moradi, Mario Krnić
{"title":"Upper bounds for the norm of the sum and Kronecker product of Hilbert space operators","authors":"Mohammad Sababheh, Hamid Reza Moradi, Mario Krnić","doi":"10.1080/03081087.2024.2345412","DOIUrl":"https://doi.org/10.1080/03081087.2024.2345412","url":null,"abstract":"This paper's main objective is to find new upper bounds for the norm of the sum of two Hilbert space operators and their Kronecker product. The obtained results extend some previously known results...","PeriodicalId":49905,"journal":{"name":"Linear & Multilinear Algebra","volume":null,"pages":null},"PeriodicalIF":1.1,"publicationDate":"2024-04-29","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"141149273","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":4,"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
Non-exposed polyhedral faces of the completely positive cone 完全正锥的非暴露多面体面
IF 1.1 4区 数学
Linear & Multilinear Algebra Pub Date : 2024-04-29 DOI: 10.1080/03081087.2024.2346313
O. I. Kostyukova
{"title":"Non-exposed polyhedral faces of the completely positive cone","authors":"O. I. Kostyukova","doi":"10.1080/03081087.2024.2346313","DOIUrl":"https://doi.org/10.1080/03081087.2024.2346313","url":null,"abstract":"In this paper, we consider the cone of p×p completely positive matrices CP(p). Currently, some families of non-exposed faces of the 5×5 completely positive cone CP(5) were constructed. Inspired by ...","PeriodicalId":49905,"journal":{"name":"Linear & Multilinear Algebra","volume":null,"pages":null},"PeriodicalIF":1.1,"publicationDate":"2024-04-29","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"140914911","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":4,"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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