Pub Date : 2024-07-25DOI: 10.1080/03081087.2024.2382983
Srdjan Stefanović
We determine the exact diameter of the orthograph related to mutual strong Birkhoff–James orthogonality in arbitrary finite-dimensional C∗-algebra. Additionally, we will estimate the distance betwe...
{"title":"Diameter of the BJ-orthograph in finite-dimensional C*-algebras","authors":"Srdjan Stefanović","doi":"10.1080/03081087.2024.2382983","DOIUrl":"https://doi.org/10.1080/03081087.2024.2382983","url":null,"abstract":"We determine the exact diameter of the orthograph related to mutual strong Birkhoff–James orthogonality in arbitrary finite-dimensional C∗-algebra. Additionally, we will estimate the distance betwe...","PeriodicalId":49905,"journal":{"name":"Linear & Multilinear Algebra","volume":null,"pages":null},"PeriodicalIF":1.1,"publicationDate":"2024-07-25","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"141899745","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 : 2024-07-23DOI: 10.1080/03081087.2024.2382977
Jinting Lau, Ming Huat Lim
In this paper, we characterize additive maps between exterior power of vector spaces that send decomposable multivectors to decomposable multivectors. As an application, we deduce Kuzma's result re...
{"title":"Additive decomposability preserving maps between exterior powers of vector spaces","authors":"Jinting Lau, Ming Huat Lim","doi":"10.1080/03081087.2024.2382977","DOIUrl":"https://doi.org/10.1080/03081087.2024.2382977","url":null,"abstract":"In this paper, we characterize additive maps between exterior power of vector spaces that send decomposable multivectors to decomposable multivectors. As an application, we deduce Kuzma's result re...","PeriodicalId":49905,"journal":{"name":"Linear & Multilinear Algebra","volume":null,"pages":null},"PeriodicalIF":1.1,"publicationDate":"2024-07-23","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"141768568","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 : 2024-07-19DOI: 10.1080/03081087.2024.2313639
Xavier Martínez-Rivera, Kamonchanok Saejeam
The signed enhanced principal rank characteristic sequence (sepr-sequence) of a given n×n Hermitian matrix B is the sequence t1t2…tn, where tk is A∗, A+, A−, N, S∗, S+, or S−, based on the followin...
{"title":"On the signs of the principal minors of Hermitian matrices","authors":"Xavier Martínez-Rivera, Kamonchanok Saejeam","doi":"10.1080/03081087.2024.2313639","DOIUrl":"https://doi.org/10.1080/03081087.2024.2313639","url":null,"abstract":"The signed enhanced principal rank characteristic sequence (sepr-sequence) of a given n×n Hermitian matrix B is the sequence t1t2…tn, where tk is A∗, A+, A−, N, S∗, S+, or S−, based on the followin...","PeriodicalId":49905,"journal":{"name":"Linear & Multilinear Algebra","volume":null,"pages":null},"PeriodicalIF":1.1,"publicationDate":"2024-07-19","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"141737063","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 : 2024-07-16DOI: 10.1080/03081087.2024.2379397
Raluca Dumitru, Jose A. Franco
Bhatia, Lim and Yamazaki obtained results on the norm minimality of the Kubo-Ando Heinz means of positive semidefinite matrices. Namely, they proved that |||A♯αB+A♯1−αB|||≤|||AαB1−α+A1−αBα|||, for...
{"title":"On the matrix Heinz means and Rényi divergences","authors":"Raluca Dumitru, Jose A. Franco","doi":"10.1080/03081087.2024.2379397","DOIUrl":"https://doi.org/10.1080/03081087.2024.2379397","url":null,"abstract":"Bhatia, Lim and Yamazaki obtained results on the norm minimality of the Kubo-Ando Heinz means of positive semidefinite matrices. Namely, they proved that |||A♯αB+A♯1−αB|||≤|||AαB1−α+A1−αBα|||, for...","PeriodicalId":49905,"journal":{"name":"Linear & Multilinear Algebra","volume":null,"pages":null},"PeriodicalIF":1.1,"publicationDate":"2024-07-16","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"141737064","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 : 2024-07-10DOI: 10.1080/03081087.2024.2376550
Lu Zou, Yuan Lei
We present a class of inexact splitting-modulus iteration methods for solving the Pareto Eigenvalue Complementarity Problem (EiCP) when the system matrix A is an H+-matrix. Our method first employs...
当系统矩阵 A 是一个 H+ 矩阵时，我们提出了一类用于求解帕累托特征值互补问题（EiCP）的非精确分割模数迭代法。我们的方法首先采用...
{"title":"On the splitting iteration method for Pareto eigenvalue complementarity problems of H+-matrices","authors":"Lu Zou, Yuan Lei","doi":"10.1080/03081087.2024.2376550","DOIUrl":"https://doi.org/10.1080/03081087.2024.2376550","url":null,"abstract":"We present a class of inexact splitting-modulus iteration methods for solving the Pareto Eigenvalue Complementarity Problem (EiCP) when the system matrix A is an H+-matrix. Our method first employs...","PeriodicalId":49905,"journal":{"name":"Linear & Multilinear Algebra","volume":null,"pages":null},"PeriodicalIF":1.1,"publicationDate":"2024-07-10","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"141602714","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 : 2024-07-10DOI: 10.1080/03081087.2024.2376560
Fanghong Nan, Teng Zhang
By using equivalence conditions for sectorial matrices obtained by Alakhrass and Sababheh in Linear Algebra Appl. (2020;586), we improve a Rotfel'd type inequality for sectorial matrices derived by...
{"title":"An improvement and a generalization of Rotfel'd type inequalities for sectorial matrices","authors":"Fanghong Nan, Teng Zhang","doi":"10.1080/03081087.2024.2376560","DOIUrl":"https://doi.org/10.1080/03081087.2024.2376560","url":null,"abstract":"By using equivalence conditions for sectorial matrices obtained by Alakhrass and Sababheh in Linear Algebra Appl. (2020;586), we improve a Rotfel'd type inequality for sectorial matrices derived by...","PeriodicalId":49905,"journal":{"name":"Linear & Multilinear Algebra","volume":null,"pages":null},"PeriodicalIF":1.1,"publicationDate":"2024-07-10","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"141602715","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 : 2024-07-09DOI: 10.1080/03081087.2024.2376561
Miryam Gnazzo, Nicola Guglielmi
Consider a matrix polynomial P(λ)=A0+λA1+⋯+λdAd, with A0,…,Ad complex (or real) matrices with a certain structure. In this paper we discuss an iterative method to numerically approximate the closes...
{"title":"Approximating the closest structured singular matrix polynomial","authors":"Miryam Gnazzo, Nicola Guglielmi","doi":"10.1080/03081087.2024.2376561","DOIUrl":"https://doi.org/10.1080/03081087.2024.2376561","url":null,"abstract":"Consider a matrix polynomial P(λ)=A0+λA1+⋯+λdAd, with A0,…,Ad complex (or real) matrices with a certain structure. In this paper we discuss an iterative method to numerically approximate the closes...","PeriodicalId":49905,"journal":{"name":"Linear & Multilinear Algebra","volume":null,"pages":null},"PeriodicalIF":1.1,"publicationDate":"2024-07-09","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"141608159","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 : 2024-07-06DOI: 10.1080/03081087.2024.2364703
Mohammed Zerai Dhahri, Aref Jeribi, Kamel Mahfoudhi
In this note, we introduce a notion of the J-kernel of a bounded linear operator on a Krein space and study the J-Fredholm theory for Krein space operators. Using J-Fredholm theory, we discuss and ...
{"title":"Fredholm theory on Krein spaces and its application to pseudospectrum","authors":"Mohammed Zerai Dhahri, Aref Jeribi, Kamel Mahfoudhi","doi":"10.1080/03081087.2024.2364703","DOIUrl":"https://doi.org/10.1080/03081087.2024.2364703","url":null,"abstract":"In this note, we introduce a notion of the J-kernel of a bounded linear operator on a Krein space and study the J-Fredholm theory for Krein space operators. Using J-Fredholm theory, we discuss and ...","PeriodicalId":49905,"journal":{"name":"Linear & Multilinear Algebra","volume":null,"pages":null},"PeriodicalIF":1.1,"publicationDate":"2024-07-06","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"141602719","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 : 2024-07-06DOI: 10.1080/03081087.2024.2368734
Roman Drnovšek
Let T be an operator on a Banach space X that is similar to −T via an involution U. Then,U decomposes the Banach space X as X=X1⊕X2 with respect to which decomposition we have U=(I100−I2), where Ii...
让 T 是巴拿赫空间 X 上的一个算子，通过内卷 U 与 -T 相似。那么，U 将巴拿赫空间 X 分解为 X=X1⊕X2，关于该分解，我们有 U=(I100-I2)，其中 Ii...
{"title":"On commutators of idempotents","authors":"Roman Drnovšek","doi":"10.1080/03081087.2024.2368734","DOIUrl":"https://doi.org/10.1080/03081087.2024.2368734","url":null,"abstract":"Let T be an operator on a Banach space X that is similar to −T via an involution U. Then,U decomposes the Banach space X as X=X1⊕X2 with respect to which decomposition we have U=(I100−I2), where Ii...","PeriodicalId":49905,"journal":{"name":"Linear & Multilinear Algebra","volume":null,"pages":null},"PeriodicalIF":1.1,"publicationDate":"2024-07-06","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"141618195","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 : 2024-07-03DOI: 10.1080/03081087.2024.2368240
M. J. de la Puente, P. L. Clavería
In any dimension d≥2, we give exact volume formulas of two mutually polar dual convex d-polytopes. The primal body is called isocanted cube of dimension d, depending on two real parameters 0
在任意维数 d≥2 时，我们给出了两个互为极性的对偶凸 d 多面体的精确体积公式。基元体被称为维数为 d 的等位立方体，取决于两个实数参数 0
{"title":"The volume of an isocanted cube is a determinant*","authors":"M. J. de la Puente, P. L. Clavería","doi":"10.1080/03081087.2024.2368240","DOIUrl":"https://doi.org/10.1080/03081087.2024.2368240","url":null,"abstract":"In any dimension d≥2, we give exact volume formulas of two mutually polar dual convex d-polytopes. The primal body is called isocanted cube of dimension d, depending on two real parameters 0<a<ℓ. T...","PeriodicalId":49905,"journal":{"name":"Linear & Multilinear Algebra","volume":null,"pages":null},"PeriodicalIF":1.1,"publicationDate":"2024-07-03","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"141608156","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}
京公网安备 11010802042870号
京ICP备2023020795号-1
扫码关注我们
求助内容：
应助结果提醒方式：