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Inequalities for the weighted A-numerical radius of semi-Hilbertian space operators 半希尔伯特空间算子加权a数值半径的不等式
IF 0.5 4区 数学
Operators and Matrices Pub Date : 2023-01-01 DOI: 10.7153/oam-2023-17-24
Fugen Gao, Xianqin Liu
{"title":"Inequalities for the weighted A-numerical radius of semi-Hilbertian space operators","authors":"Fugen Gao, Xianqin Liu","doi":"10.7153/oam-2023-17-24","DOIUrl":"https://doi.org/10.7153/oam-2023-17-24","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":"71224603","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
Characterizations of Hopfians spaces Hopfians空间的刻画
IF 0.5 4区 数学
Operators and Matrices Pub Date : 2023-01-01 DOI: 10.7153/oam-2023-17-02
H. Boua, A. Tajmouati
{"title":"Characterizations of Hopfians spaces","authors":"H. Boua, A. Tajmouati","doi":"10.7153/oam-2023-17-02","DOIUrl":"https://doi.org/10.7153/oam-2023-17-02","url":null,"abstract":". A Banach space X is called Hop fi an, if any bounded linear operator surjective is bijective. The existence of the Banach Hop fi ans spaces in in fi nite dimension was established by Gowers and Maury in 1993. In this note we obtain some characterizations of Banach spaces Hop fi ans by properties of the algebra of bounded linear operators B ( X ) . Mathematics subject classi fi cation (2020): 47A10, 47A11.","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":"71224179","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
Preservers of condition spectra and pseudo spectra of Hermitian matrix Jordan products 厄米矩阵约当积的条件谱和伪谱的保存子
IF 0.5 4区 数学
Operators and Matrices Pub Date : 2023-01-01 DOI: 10.7153/oam-2023-17-08
M. Bendaoud, A. Benyouness, A. Cade
{"title":"Preservers of condition spectra and pseudo spectra of Hermitian matrix Jordan products","authors":"M. Bendaoud, A. Benyouness, A. Cade","doi":"10.7153/oam-2023-17-08","DOIUrl":"https://doi.org/10.7153/oam-2023-17-08","url":null,"abstract":". Let H n be the real space of n × n complex Hermitian matrices. Complete descriptions are given of the maps of H n leaving invariant the pseudo spectral radius or the condition spectral radius of Jordan product of matrices. As application, maps on H n that preserve the condition spectrum of Jordan product of matrices are classi fi ed. Mathematics subject classi fi cation (2020): 47B49, 47A10, 47A25.","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":"71224356","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
Duality of generalized Hardy and BMO spaces associated with singular partial differential operator 奇异偏微分算子相关的广义Hardy和BMO空间的对偶性
IF 0.5 4区 数学
Operators and Matrices Pub Date : 2023-01-01 DOI: 10.7153/oam-2023-17-09
A. Ghandouri, H. Mejjaoli, S. Omri
{"title":"Duality of generalized Hardy and BMO spaces associated with singular partial differential operator","authors":"A. Ghandouri, H. Mejjaoli, S. Omri","doi":"10.7153/oam-2023-17-09","DOIUrl":"https://doi.org/10.7153/oam-2023-17-09","url":null,"abstract":". First we de fi ne and study the generalized bounded mean ossilation space B mo α associated with the Riemann-Liouville operator R α . Next we prove the duality between B mo α and the genralized Hardy space H 1 α associated with R α . Mathematics subject classi fi cation (2020): 30H10, 30H35, 42A38.","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":"71224425","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 roots of elements of Aut(SH2) Aut(SH2)元素的根
IF 0.5 4区 数学
Operators and Matrices Pub Date : 2023-01-01 DOI: 10.7153/oam-2023-17-12
A. Mirzapour, R. Eskandari
{"title":"The roots of elements of Aut(SH2)","authors":"A. Mirzapour, R. Eskandari","doi":"10.7153/oam-2023-17-12","DOIUrl":"https://doi.org/10.7153/oam-2023-17-12","url":null,"abstract":". We study the roots of automorphisms on the Siegel upper half plane of complex di-mension three. We use the normal form of any element of Sp ( 2 , R ) under the conjugation in Sp ( 2 , R ) to show that some of automorphisms have roots and that some of them do not have. As an application, we generalize the Siegel unit disk of the same dimension.","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":"71224515","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
Remarks on scalable frames 关于可伸缩框架的备注
IF 0.5 4区 数学
Operators and Matrices Pub Date : 2023-01-01 DOI: 10.7153/oam-2023-17-23
P. Casazza, L. Carli, Tin T. Tran
{"title":"Remarks on scalable frames","authors":"P. Casazza, L. Carli, Tin T. Tran","doi":"10.7153/oam-2023-17-23","DOIUrl":"https://doi.org/10.7153/oam-2023-17-23","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":"71224551","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
Log-majorization of Gan-Liu-Tam type 甘-柳-潭型的对数化
IF 0.5 4区 数学
Operators and Matrices Pub Date : 2023-01-01 DOI: 10.7153/oam-2023-17-27
Jian Shi, Ying Dai
{"title":"Log-majorization of Gan-Liu-Tam type","authors":"Jian Shi, Ying Dai","doi":"10.7153/oam-2023-17-27","DOIUrl":"https://doi.org/10.7153/oam-2023-17-27","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":"71224717","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
Some refinements of real power form inequalities for convex functions via weak sub-majorization 利用弱次多数构造凸函数的实幂不等式
IF 0.5 4区 数学
Operators and Matrices Pub Date : 2023-01-01 DOI: 10.7153/oam-2023-17-16
M. Ighachane, Mohammed Bouchangour
{"title":"Some refinements of real power form inequalities for convex functions via weak sub-majorization","authors":"M. Ighachane, Mohammed Bouchangour","doi":"10.7153/oam-2023-17-16","DOIUrl":"https://doi.org/10.7153/oam-2023-17-16","url":null,"abstract":". The main goal of this article, is to develop a general method for improving some new real power inequalities for convex and log-convex functions, which extends and uni fi es two recent and important results due to M. Sababheh [Linear Algebra Appl. 506 (2016), 588– 602] and D. Q. Huy et al. [Linear Algebra Appl. 656 (2023), 368–384]. Then by selecting some appropriate convex and log-convex functions, we obtain new mean inequalities for scalars and matrices, some new re fi nements and reverses of the Heinz and H¨older type inequalities for matrices. We get also some new and re fi ned trace and numerical radius inequalities. Mathematics","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":"71224790","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: 2
Spectral perturbation by rank m matrices 秩m矩阵的谱摄动
4区 数学
Operators and Matrices Pub Date : 2023-01-01 DOI: 10.7153/oam-2023-17-58
Jonathan L. Merzel, Ján Mináč, Tung T. Nguyen, Federico W. Pasini
{"title":"Spectral perturbation by rank m matrices","authors":"Jonathan L. Merzel, Ján Mináč, Tung T. Nguyen, Federico W. Pasini","doi":"10.7153/oam-2023-17-58","DOIUrl":"https://doi.org/10.7153/oam-2023-17-58","url":null,"abstract":"Let $A$ and $B$ designate $ntimes n$ matrices with coefficients in a field $F$. In this paper, we completely answer the following question: For $A$ fixed, what are the possible characteristic polynomials of $A+B$, where $B$ ranges over matrices of rank $le m$?","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":"136373190","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 M-class-c-wA_k^*(a,b) operators 关于m类-c- wa_k ^*(a,b)算子
4区 数学
Operators and Matrices Pub Date : 2023-01-01 DOI: 10.7153/oam-2023-17-47
P. Shanmugapriya, P. Maheswari Naik, Abdelkader Benali
{"title":"On M-class-c-wA_k^*(a,b) operators","authors":"P. Shanmugapriya, P. Maheswari Naik, Abdelkader Benali","doi":"10.7153/oam-2023-17-47","DOIUrl":"https://doi.org/10.7153/oam-2023-17-47","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":"136373437","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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