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An improvement and a generalization of Rotfel'd type inequalities for sectorial matrices 扇形矩阵的 Rotfel'd 型不等式的改进和推广
IF 1.1 4区 数学
Linear & Multilinear Algebra Pub Date : 2024-07-10 DOI: 10.1080/03081087.2024.2376560
Fanghong Nan, Teng Zhang
{"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":"28 1","pages":""},"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}
引用次数: 0
Approximating the closest structured singular matrix polynomial 逼近最接近的结构奇异矩阵多项式
IF 1.1 4区 数学
Linear & Multilinear Algebra Pub Date : 2024-07-09 DOI: 10.1080/03081087.2024.2376561
Miryam Gnazzo, Nicola Guglielmi
{"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":"50 1","pages":""},"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}
引用次数: 0
Fredholm theory on Krein spaces and its application to pseudospectrum 克雷因空间上的弗雷德霍尔姆理论及其在伪谱中的应用
IF 1.1 4区 数学
Linear & Multilinear Algebra Pub Date : 2024-07-06 DOI: 10.1080/03081087.2024.2364703
Mohammed Zerai Dhahri, Aref Jeribi, Kamel Mahfoudhi
{"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":"65 1","pages":""},"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}
引用次数: 0
On commutators of idempotents 关于等价物的换元
IF 1.1 4区 数学
Linear & Multilinear Algebra Pub Date : 2024-07-06 DOI: 10.1080/03081087.2024.2368734
Roman Drnovšek
{"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":"29 1","pages":""},"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}
引用次数: 0
The volume of an isocanted cube is a determinant* 等积立方体的体积是行列式*
IF 1.1 4区 数学
Linear & Multilinear Algebra Pub Date : 2024-07-03 DOI: 10.1080/03081087.2024.2368240
M. J. de la Puente, P. L. Clavería
{"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":"38 1","pages":""},"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}
引用次数: 0
Perturbation properties of the generalized spectral radius 广谱半径的扰动特性
IF 1.1 4区 数学
Linear & Multilinear Algebra Pub Date : 2024-06-18 DOI: 10.1080/03081087.2024.2366951
Florian Bünger, Alberto Seeger
{"title":"Perturbation properties of the generalized spectral radius","authors":"Florian Bünger, Alberto Seeger","doi":"10.1080/03081087.2024.2366951","DOIUrl":"https://doi.org/10.1080/03081087.2024.2366951","url":null,"abstract":"Let n∈N, K∈{R,C} and Mn(K) be the set of all n-by-n matrices with entries in K. We investigate the sensitivity of the generalized spectral radius ρK(A):=max{|λ|:λ∈Kand|Ax|=|λx|foranx∈Kn∖{0}} of A∈...","PeriodicalId":49905,"journal":{"name":"Linear & Multilinear Algebra","volume":"11 1","pages":""},"PeriodicalIF":1.1,"publicationDate":"2024-06-18","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"141425526","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
Linear operators and construction of symmetric symbols satisfying sum rules of order p 线性算子和构建满足 p 阶和规则的对称符号
IF 1.1 4区 数学
Linear & Multilinear Algebra Pub Date : 2024-06-05 DOI: 10.1080/03081087.2024.2362194
A. T. Mithun
{"title":"Linear operators and construction of symmetric symbols satisfying sum rules of order p","authors":"A. T. Mithun","doi":"10.1080/03081087.2024.2362194","DOIUrl":"https://doi.org/10.1080/03081087.2024.2362194","url":null,"abstract":"We present a new method to construct symmetric symbols corresponding to solvable multiscaling equations using linear operators. First, we define a linear operator corresponding to a symbol. We demo...","PeriodicalId":49905,"journal":{"name":"Linear & Multilinear Algebra","volume":"22 1","pages":""},"PeriodicalIF":1.1,"publicationDate":"2024-06-05","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"141304357","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
2-local S mappings with respect to τ on some *-subalgebras of 的某些 * 子代数上关于 τ 的 2 局部 S 映射
IF 1.1 4区 数学
Linear & Multilinear Algebra Pub Date : 2024-06-05 DOI: 10.1080/03081087.2024.2353785
Bing Yang, Chengjun Hou, Xiaochun Fang
{"title":"2-local S mappings with respect to τ on some *-subalgebras of","authors":"Bing Yang, Chengjun Hou, Xiaochun Fang","doi":"10.1080/03081087.2024.2353785","DOIUrl":"https://doi.org/10.1080/03081087.2024.2353785","url":null,"abstract":"We prove that if Δ is a norm-continuous weak∗-2-local derivation on a von Neumann algebra M and satisfies Δ(p+iμq)=Δ(p)+iμΔ(q) for every pair of projections p and q in M, and every μ∈R, then Δ is a...","PeriodicalId":49905,"journal":{"name":"Linear & Multilinear Algebra","volume":"23 1","pages":""},"PeriodicalIF":1.1,"publicationDate":"2024-06-05","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"141430485","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
Quantum hitting time according to a given distribution 根据给定分布的量子命中时间
IF 1.1 4区 数学
Linear & Multilinear Algebra Pub Date : 2024-06-04 DOI: 10.1080/03081087.2024.2349197
Paola Boito, G. M. Del Corso
{"title":"Quantum hitting time according to a given distribution","authors":"Paola Boito, G. M. Del Corso","doi":"10.1080/03081087.2024.2349197","DOIUrl":"https://doi.org/10.1080/03081087.2024.2349197","url":null,"abstract":"In this work we focus on the notion of quantum hitting time for discrete-time Szegedy quantum walks, compared to its classical counterpart. Under suitable hypotheses, quantum hitting time is known ...","PeriodicalId":49905,"journal":{"name":"Linear & Multilinear Algebra","volume":"74 1","pages":""},"PeriodicalIF":1.1,"publicationDate":"2024-06-04","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"141425403","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
Maximal border subrank tensors 最大边界子级张量
IF 1.1 4区 数学
Linear & Multilinear Algebra Pub Date : 2024-05-27 DOI: 10.1080/03081087.2024.2352456
Chia-Yu Chang
{"title":"Maximal border subrank tensors","authors":"Chia-Yu Chang","doi":"10.1080/03081087.2024.2352456","DOIUrl":"https://doi.org/10.1080/03081087.2024.2352456","url":null,"abstract":"We prove a lower bound on the dimension of the set of maximal border subrank tensors. This is the first such bound of its type.","PeriodicalId":49905,"journal":{"name":"Linear & Multilinear Algebra","volume":"17 1","pages":""},"PeriodicalIF":1.1,"publicationDate":"2024-05-27","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"141315628","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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