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Some remarks on the generalized order and generalized type of entire functions of several complex matrices 若干复矩阵全函数的广义阶和广义型的若干注释
IF 0.5 4区 数学
Operators and Matrices Pub Date : 2023-01-01 DOI: 10.7153/oam-2023-17-03
T. Biswas, C. Biswas, B. Saha
{"title":"Some remarks on the generalized order and generalized type of entire functions of several complex matrices","authors":"T. Biswas, C. Biswas, B. Saha","doi":"10.7153/oam-2023-17-03","DOIUrl":"https://doi.org/10.7153/oam-2023-17-03","url":null,"abstract":". The main aim of this paper is to introduce the de fi nitions of generalized order and generalized type of the entire function of several complex matrix variables in hyperspherical region and then study some of their properties. By considering the concepts of generalized order and generalized type, we will extend some results of Abul-Ez et al. [1].","PeriodicalId":56274,"journal":{"name":"Operators and Matrices","volume":null,"pages":null},"PeriodicalIF":0.5,"publicationDate":"2023-01-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"71224190","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
Cowen sets for Toeplitz operators Toeplitz算子的Cowen集合
IF 0.5 4区 数学
Operators and Matrices Pub Date : 2023-01-01 DOI: 10.7153/oam-2023-17-25
Hyoungsoon Kim, Jae ui Park
{"title":"Cowen sets for Toeplitz operators","authors":"Hyoungsoon Kim, Jae ui Park","doi":"10.7153/oam-2023-17-25","DOIUrl":"https://doi.org/10.7153/oam-2023-17-25","url":null,"abstract":"","PeriodicalId":56274,"journal":{"name":"Operators and Matrices","volume":null,"pages":null},"PeriodicalIF":0.5,"publicationDate":"2023-01-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"71224813","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
Trace inequalities related to 2 × 2 block sector matrices 跟踪与2x2块扇区矩阵相关的不等式
IF 0.5 4区 数学
Operators and Matrices Pub Date : 2023-01-01 DOI: 10.7153/oam-2023-17-26
Hua Xu, Xiaohui Fu, Salarzay Abdul Haseeb
{"title":"Trace inequalities related to 2 × 2 block sector matrices","authors":"Hua Xu, Xiaohui Fu, Salarzay Abdul Haseeb","doi":"10.7153/oam-2023-17-26","DOIUrl":"https://doi.org/10.7153/oam-2023-17-26","url":null,"abstract":"","PeriodicalId":56274,"journal":{"name":"Operators and Matrices","volume":null,"pages":null},"PeriodicalIF":0.5,"publicationDate":"2023-01-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"71224837","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
A note on the A-spectrum of A-bounded operators 关于A有界算子的A谱的注记
4区 数学
Operators and Matrices Pub Date : 2023-01-01 DOI: 10.7153/oam-2023-17-40
Hamadi Baklouti, Mohammed Mabrouk
{"title":"A note on the A-spectrum of A-bounded operators","authors":"Hamadi Baklouti, Mohammed Mabrouk","doi":"10.7153/oam-2023-17-40","DOIUrl":"https://doi.org/10.7153/oam-2023-17-40","url":null,"abstract":"","PeriodicalId":56274,"journal":{"name":"Operators and Matrices","volume":null,"pages":null},"PeriodicalIF":0.0,"publicationDate":"2023-01-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"135002609","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
Multiplicative generalized Lie n-derivations on completely distributive commutative subspace lattice algebras 完全分配交换子空间格代数上的乘性广义李n导
IF 0.5 4区 数学
Operators and Matrices Pub Date : 2023-01-01 DOI: 10.7153/oam-2023-17-10
Fei Ma, Min Yin
{"title":"Multiplicative generalized Lie n-derivations on completely distributive commutative subspace lattice algebras","authors":"Fei Ma, Min Yin","doi":"10.7153/oam-2023-17-10","DOIUrl":"https://doi.org/10.7153/oam-2023-17-10","url":null,"abstract":". Let Alg L be a completely distributive commutative subspace lattice algebra and let δ : Alg L → Alg L be a nonlinear map. It is shown that δ is a multiplicative generalized Lie n -derivation on Alg L with an associated multiplicative generalized Lie n -derivation d if and only if δ ( A ) = ψ ( A )+ ξ ( A ) holds for every A ∈ Alg L , where ψ : Alg L → Alg L is an additive generalized derivation and ξ : Alg L → Z ( Alg L ) is a central-valued map vanishing on each ( n − 1 ) -th commutator p n ( A 1 , A 2 , ··· , A n ) .","PeriodicalId":56274,"journal":{"name":"Operators and Matrices","volume":null,"pages":null},"PeriodicalIF":0.5,"publicationDate":"2023-01-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"71224464","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 solvability of Volterra-Hammerstein integral equations in two variables coordinatewise converging at infinity 在无穷远处坐标收敛的两变量Volterra-Hammerstein积分方程的可解性
IF 0.5 4区 数学
Operators and Matrices Pub Date : 2023-01-01 DOI: 10.7153/oam-2023-17-15
Asif Hussain Jan, Tanweer Jalal
{"title":"On solvability of Volterra-Hammerstein integral equations in two variables coordinatewise converging at infinity","authors":"Asif Hussain Jan, Tanweer Jalal","doi":"10.7153/oam-2023-17-15","DOIUrl":"https://doi.org/10.7153/oam-2023-17-15","url":null,"abstract":"","PeriodicalId":56274,"journal":{"name":"Operators and Matrices","volume":null,"pages":null},"PeriodicalIF":0.5,"publicationDate":"2023-01-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"71224591","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 weighted and the Davis-Wielandt Berezin number 加权数和Davis-Wielandt Berezin数
IF 0.5 4区 数学
Operators and Matrices Pub Date : 2023-01-01 DOI: 10.7153/oam-2023-17-31
M. Garayev, M. Bakherad, R. Tapdigoglu
{"title":"The weighted and the Davis-Wielandt Berezin number","authors":"M. Garayev, M. Bakherad, R. Tapdigoglu","doi":"10.7153/oam-2023-17-31","DOIUrl":"https://doi.org/10.7153/oam-2023-17-31","url":null,"abstract":"","PeriodicalId":56274,"journal":{"name":"Operators and Matrices","volume":null,"pages":null},"PeriodicalIF":0.5,"publicationDate":"2023-01-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"71225123","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: 1
Liftings and dilations of commuting systems of linear mappings on vector spaces 向量空间上线性映射交换系统的提升与展开
IF 0.5 4区 数学
Operators and Matrices Pub Date : 2023-01-01 DOI: 10.7153/oam-2023-17-37
V. Müller
{"title":"Liftings and dilations of commuting systems of linear mappings on vector spaces","authors":"V. Müller","doi":"10.7153/oam-2023-17-37","DOIUrl":"https://doi.org/10.7153/oam-2023-17-37","url":null,"abstract":"","PeriodicalId":56274,"journal":{"name":"Operators and Matrices","volume":null,"pages":null},"PeriodicalIF":0.5,"publicationDate":"2023-01-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"71225236","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
Minimal generating and separating sets for O(3)-invariants of several matrices 若干矩阵的O(3)-不变量的最小生成集与分离集
4区 数学
Operators and Matrices Pub Date : 2023-01-01 DOI: 10.7153/oam-2023-17-42
Artem A. Lopatin, Ronaldo José Sousa Ferreira
{"title":"Minimal generating and separating sets for O(3)-invariants of several matrices","authors":"Artem A. Lopatin, Ronaldo José Sousa Ferreira","doi":"10.7153/oam-2023-17-42","DOIUrl":"https://doi.org/10.7153/oam-2023-17-42","url":null,"abstract":"Given an algebra $F[H]^G$ of polynomial invariants of an action of the group $G$ over the vector space $H$, a subset $S$ of $F[H]^G$ is called separating if $S$ separates all orbits that can be separated by $F[H]^G$. A minimal separating set is found for some algebras of matrix invariants of several matrices over an infinite field of arbitrary characteristic different from two in case of the orthogonal group. Namely, we consider the following cases: ","PeriodicalId":56274,"journal":{"name":"Operators and Matrices","volume":null,"pages":null},"PeriodicalIF":0.0,"publicationDate":"2023-01-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"135181361","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: 1
Further refinements of Davis-Wielandt radius inequalities Davis-Wielandt半径不等式的进一步改进
4区 数学
Operators and Matrices Pub Date : 2023-01-01 DOI: 10.7153/oam-2023-17-50
Pintu Bhunia, Kallol Paul, Somdatta Barik
{"title":"Further refinements of Davis-Wielandt radius inequalities","authors":"Pintu Bhunia, Kallol Paul, Somdatta Barik","doi":"10.7153/oam-2023-17-50","DOIUrl":"https://doi.org/10.7153/oam-2023-17-50","url":null,"abstract":"","PeriodicalId":56274,"journal":{"name":"Operators and Matrices","volume":null,"pages":null},"PeriodicalIF":0.0,"publicationDate":"2023-01-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"136373435","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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