Pub Date : 2024-02-07DOI: 10.1080/03081087.2024.2304144
Neelam Choudhary, Nicolas Gillis, Punit Sharma
In this paper, we provide a dissipative Hamiltonian (DH) characterization for the set of matrices whose eigenvalues belong to a given LMI region. This characterization is a generalization of that o...
{"title":"Characterizing matrices with eigenvalues in an LMI region: a dissipative-Hamiltonian approach","authors":"Neelam Choudhary, Nicolas Gillis, Punit Sharma","doi":"10.1080/03081087.2024.2304144","DOIUrl":"https://doi.org/10.1080/03081087.2024.2304144","url":null,"abstract":"In this paper, we provide a dissipative Hamiltonian (DH) characterization for the set of matrices whose eigenvalues belong to a given LMI region. This characterization is a generalization of that o...","PeriodicalId":49905,"journal":{"name":"Linear & Multilinear Algebra","volume":"18 2 1","pages":""},"PeriodicalIF":1.1,"publicationDate":"2024-02-07","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"139720392","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 : 2024-02-07DOI: 10.1080/03081087.2024.2311257
Siao A. Hong, Guangyan Y. Zhu
Let a, b and n be positive integers and let S={x1,…,xn} be a set of n distinct positive integers. For x∈S, one defines GS(x)={y∈S:y
设 a、b 和 n 为正整数，S={x1,...,xn} 为 n 个不同正整数的集合。对于 x∈S，定义 GS(x)={y∈S:y
{"title":"Divisibility among power matrices associated with multiplicative functions","authors":"Siao A. Hong, Guangyan Y. Zhu","doi":"10.1080/03081087.2024.2311257","DOIUrl":"https://doi.org/10.1080/03081087.2024.2311257","url":null,"abstract":"Let a, b and n be positive integers and let S={x1,…,xn} be a set of n distinct positive integers. For x∈S, one defines GS(x)={y∈S:y<x,y|xand(y|z|x,z∈S)⇒z∈{y,x}}. For any arithmetic function f and a...","PeriodicalId":49905,"journal":{"name":"Linear & Multilinear Algebra","volume":"8 1","pages":""},"PeriodicalIF":1.1,"publicationDate":"2024-02-07","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"139700995","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 : 2024-02-06DOI: 10.1080/03081087.2024.2313627
B. P. Duggal, C. S. Kubrusly
The paper proves two results involving a pair (A,B) of P-biisometric or (m,P)-biisometric Hilbert-space operators for arbitrary positive integer m and positive operator P. It is shown that if A and...
本文证明了两个涉及任意正整数 m 和正算子 P 的一对 (A,B) P 双几何或 (m,P) 双几何希尔伯特空间算子的结果。
{"title":"Forms of biisometric operators and biorthogonality","authors":"B. P. Duggal, C. S. Kubrusly","doi":"10.1080/03081087.2024.2313627","DOIUrl":"https://doi.org/10.1080/03081087.2024.2313627","url":null,"abstract":"The paper proves two results involving a pair (A,B) of P-biisometric or (m,P)-biisometric Hilbert-space operators for arbitrary positive integer m and positive operator P. It is shown that if A and...","PeriodicalId":49905,"journal":{"name":"Linear & Multilinear Algebra","volume":"24 1","pages":""},"PeriodicalIF":1.1,"publicationDate":"2024-02-06","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"139720347","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 : 2024-02-05DOI: 10.1080/03081087.2023.2284752
Qinglan Bao, Jiong Sun, Xiaoling Hao
We enlarge the class of regular odd order differential operators and find the self-adjoint boundary condition of every operator. In this paper, we give the characterization of self-adjoint domains ...
我们扩大了正奇数阶微分算子的范畴，并找到了每个算子的自交边界条件。本文给出了自交域的特征 ...
{"title":"Characterization of self-adjoint domains for regular odd order C-symmetric differential operators","authors":"Qinglan Bao, Jiong Sun, Xiaoling Hao","doi":"10.1080/03081087.2023.2284752","DOIUrl":"https://doi.org/10.1080/03081087.2023.2284752","url":null,"abstract":"We enlarge the class of regular odd order differential operators and find the self-adjoint boundary condition of every operator. In this paper, we give the characterization of self-adjoint domains ...","PeriodicalId":49905,"journal":{"name":"Linear & Multilinear Algebra","volume":"86 1","pages":""},"PeriodicalIF":1.1,"publicationDate":"2024-02-05","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"139700994","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 : 2024-02-02DOI: 10.1080/03081087.2024.2311264
Wei Ma, Yadan Fan, Xiaoyi Xu
In this paper, we analyze the structured backward error for block three-by-three saddle point systems. The computable formulas of structured backward errors are derived, which are useful for testin...
{"title":"Structured backward errors for block three-by-three saddle point systems","authors":"Wei Ma, Yadan Fan, Xiaoyi Xu","doi":"10.1080/03081087.2024.2311264","DOIUrl":"https://doi.org/10.1080/03081087.2024.2311264","url":null,"abstract":"In this paper, we analyze the structured backward error for block three-by-three saddle point systems. The computable formulas of structured backward errors are derived, which are useful for testin...","PeriodicalId":49905,"journal":{"name":"Linear & Multilinear Algebra","volume":"19 1","pages":""},"PeriodicalIF":1.1,"publicationDate":"2024-02-02","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"139688426","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 : 2024-02-02DOI: 10.1080/03081087.2024.2311860
Yuwen Liu, Liu Liu, Yufeng Lu
This paper considers the generalized sectorial decompositions of semi-sectorial operators and quasi-sectorial operators on the complex Hilbert space. Under an invariant subspace condition, a necess...
本文研究了复希尔伯特空间上半扇形算子和准扇形算子的广义扇形分解。在不变子空间条件下，有必要...
{"title":"The generalized sectorial decompositions of semi-sectorial operators","authors":"Yuwen Liu, Liu Liu, Yufeng Lu","doi":"10.1080/03081087.2024.2311860","DOIUrl":"https://doi.org/10.1080/03081087.2024.2311860","url":null,"abstract":"This paper considers the generalized sectorial decompositions of semi-sectorial operators and quasi-sectorial operators on the complex Hilbert space. Under an invariant subspace condition, a necess...","PeriodicalId":49905,"journal":{"name":"Linear & Multilinear Algebra","volume":"3 1","pages":""},"PeriodicalIF":1.1,"publicationDate":"2024-02-02","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"139701001","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 : 2024-02-02DOI: 10.1080/03081087.2024.2311260
Mark Pankov, Adam Tyc
Let H be an infinite-dimensional complex Hilbert space. Denote by G∞(H) the Grassmannian formed by closed subspaces of H whose dimension and codimension both are infinite. We say that X,Y∈G∞(H) are...
设 H 是一个无限维的复希尔伯特空间。用 G∞(H)表示 H 的封闭子空间形成的格拉斯曼，其维度和开方维度都是无限的。我们说 X、Y∈G∞(H) 是...
{"title":"Chow's theorem for Hilbert Grassmannians as a Wigner-type theorem","authors":"Mark Pankov, Adam Tyc","doi":"10.1080/03081087.2024.2311260","DOIUrl":"https://doi.org/10.1080/03081087.2024.2311260","url":null,"abstract":"Let H be an infinite-dimensional complex Hilbert space. Denote by G∞(H) the Grassmannian formed by closed subspaces of H whose dimension and codimension both are infinite. We say that X,Y∈G∞(H) are...","PeriodicalId":49905,"journal":{"name":"Linear & Multilinear Algebra","volume":"4 1","pages":""},"PeriodicalIF":1.1,"publicationDate":"2024-02-02","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"139660931","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 : 2024-01-31DOI: 10.1080/03081087.2024.2306321
Dumitru Popa
We use the Maurey–Rosenthal factorization theorem to give the necessary and sufficient conditions that an operator on the Cartezian product of l1(H)-spaces with values in a Hilbert space to be mult...
{"title":"Multiple 2-summing operators from a Cartezian product of l1(H)-spaces with values in a Hilbert space","authors":"Dumitru Popa","doi":"10.1080/03081087.2024.2306321","DOIUrl":"https://doi.org/10.1080/03081087.2024.2306321","url":null,"abstract":"We use the Maurey–Rosenthal factorization theorem to give the necessary and sufficient conditions that an operator on the Cartezian product of l1(H)-spaces with values in a Hilbert space to be mult...","PeriodicalId":49905,"journal":{"name":"Linear & Multilinear Algebra","volume":"2 1","pages":""},"PeriodicalIF":1.1,"publicationDate":"2024-01-31","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"139695786","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 : 2024-01-29DOI: 10.1080/03081087.2024.2306314
Ron Aharoni, He Guo
We give a simple proof of a recent result of Gollin and Joó (Matching variables to equations in infinite linear equation systems. Linear Algebra Appl. 2023;660:40–46. doi: 10.1016/j.laa.2022.12.002...
{"title":"Tight infinite matrices","authors":"Ron Aharoni, He Guo","doi":"10.1080/03081087.2024.2306314","DOIUrl":"https://doi.org/10.1080/03081087.2024.2306314","url":null,"abstract":"We give a simple proof of a recent result of Gollin and Joó (Matching variables to equations in infinite linear equation systems. Linear Algebra Appl. 2023;660:40–46. doi: 10.1016/j.laa.2022.12.002...","PeriodicalId":49905,"journal":{"name":"Linear & Multilinear Algebra","volume":"5 1","pages":""},"PeriodicalIF":1.1,"publicationDate":"2024-01-29","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"139660924","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 : 2024-01-25DOI: 10.1080/03081087.2024.2306333
R. Słowik
We consider endomorphisms of the Riordan group. This issue was recently studied by Petrullo and Senato who gave the characterization of these endomorphisms in terms of endomorphisms of the Appell a...
我们考虑的是瑞尔丹群的内同态。Petrullo 和 Senato 最近对这一问题进行了研究，他们用 Appell a 的内同形给出了这些内同形的特征。
{"title":"Endomorphisms of the riordan group, some new facts","authors":"R. Słowik","doi":"10.1080/03081087.2024.2306333","DOIUrl":"https://doi.org/10.1080/03081087.2024.2306333","url":null,"abstract":"We consider endomorphisms of the Riordan group. This issue was recently studied by Petrullo and Senato who gave the characterization of these endomorphisms in terms of endomorphisms of the Appell a...","PeriodicalId":49905,"journal":{"name":"Linear & Multilinear Algebra","volume":"27 1","pages":""},"PeriodicalIF":1.1,"publicationDate":"2024-01-25","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"139565754","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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