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":null,"pages":null},"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":null,"pages":null},"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":null,"pages":null},"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":null,"pages":null},"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":null,"pages":null},"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":null,"pages":null},"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":null,"pages":null},"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":null,"pages":null},"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}
Pub Date : 2024-01-25DOI: 10.1080/03081087.2023.2299393
I. Jeyaraman, T. Divyadevi
Motivated by the inverse formula of the distance matrix of a tree and the Moore–Penrose inverse of a circum-Euclidean distance matrix (CEDM), in this paper, we study a general real square matrix M ...
受树的距离矩阵逆公式和环欧几里得距离矩阵（CEDM）的摩尔-彭罗斯逆公式的启发，本文研究了一般实正方形矩阵 M ...
{"title":"Euclidean and circum-Euclidean distance matrices: characterizations and interlacing property","authors":"I. Jeyaraman, T. Divyadevi","doi":"10.1080/03081087.2023.2299393","DOIUrl":"https://doi.org/10.1080/03081087.2023.2299393","url":null,"abstract":"Motivated by the inverse formula of the distance matrix of a tree and the Moore–Penrose inverse of a circum-Euclidean distance matrix (CEDM), in this paper, we study a general real square matrix M ...","PeriodicalId":49905,"journal":{"name":"Linear & Multilinear Algebra","volume":null,"pages":null},"PeriodicalIF":1.1,"publicationDate":"2024-01-25","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"139565755","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: 10.1080/03081087.2024.2306320
Jianzhou Liu, Ze Zhang, Wenlong Zeng, Fuying Tang
In control systems, the study of controllability, observability and stability can often be transformed into the estimation of the upper and lower bounds for the solution of the Lyapunov matrix diff...
{"title":"Upper and lower bounds for the solution of the Lyapunov matrix differential equation","authors":"Jianzhou Liu, Ze Zhang, Wenlong Zeng, Fuying Tang","doi":"10.1080/03081087.2024.2306320","DOIUrl":"https://doi.org/10.1080/03081087.2024.2306320","url":null,"abstract":"In control systems, the study of controllability, observability and stability can often be transformed into the estimation of the upper and lower bounds for the solution of the Lyapunov matrix diff...","PeriodicalId":49905,"journal":{"name":"Linear & Multilinear Algebra","volume":null,"pages":null},"PeriodicalIF":1.1,"publicationDate":"2024-01-25","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"139660878","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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