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, ...
{"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":"53 1","pages":""},"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}
Pub Date : 2024-05-13DOI: 10.1080/03081087.2024.2349199
Ali Zamani, Hasan Karimi, Qingxiang Xu
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 ...
设 A 是有单位 e 的单价 C∗ 代数，设 a:b 是 A 的两个正定元 a 和 b 的平行和，定义为 a(a+b)-1b。我们将证明平行和 a:b 可以用 ...
{"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":"153 1","pages":""},"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}
Pub Date : 2024-05-09DOI: 10.1080/03081087.2024.2348116
P. Abascal, F. Fueyo, J. Jimenez, A. Palacio, M. L. Serrano
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...
{"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":"68 1","pages":""},"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}
Pub Date : 2024-05-08DOI: 10.1080/03081087.2024.2349792
Sasan Amiri, Azin Golbaharan, Hakimeh Mahyar
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...
{"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":"39 1","pages":""},"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}
Pub Date : 2024-05-07DOI: 10.1080/03081087.2024.2347575
Ju Gao, Hongxing Wang, Shuangzhe Liu
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...
本文介绍了核心投影算子逆及其特性。利用这一概念，我们定义了 P 核偏序和 D 核偏序及其特性。T...
{"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":"41 1","pages":""},"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}
Pub Date : 2024-05-07DOI: 10.1080/03081087.2024.2346835
Maria Joiţa
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 ...
{"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":"23 1","pages":""},"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}
Pub Date : 2024-05-05DOI: 10.1080/03081087.2024.2349794
Yazhou Han, Cheng Yan, Xingpeng Zhao
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...
{"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":"43 1","pages":""},"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}
Pub Date : 2024-05-05DOI: 10.1080/03081087.2024.2348119
S. Gigola, L. Lebtahi, N. Thome
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...
如果 AJ 是（偏斜）赫米矢矩阵，其中 J 是实正则矩阵，使得 J2=-I，其中 I 是标识矩阵，则一个正方形复矩阵 A 称为（偏斜）J-赫米矢矩阵。在本文中，我们求解了Procr...
{"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":"184 1","pages":""},"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}
Pub Date : 2024-04-29DOI: 10.1080/03081087.2024.2345412
Mohammad Sababheh, Hamid Reza Moradi, Mario Krnić
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...
{"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":"68 1","pages":""},"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}
Pub Date : 2024-04-29DOI: 10.1080/03081087.2024.2346313
O. I. Kostyukova
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 ...
{"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":"153 1","pages":""},"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}
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