{"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}
. 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.
． 如果任何有界线性算子满射是双射，则称巴拿赫空间X为Hop fi an。Banach Hop fi - ans空间的存在性是由Gowers和Maury在1993年建立的。本文利用有界线性算子B (X)的代数性质，得到了Banach空间Hop - fi的一些刻画。数学学科分类(2020):47A10、47A11。
{"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}
. 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.
{"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}
. 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.
． 首先，我们定义并研究了与Riemann-Liouville算子R α相关的广义有界平均振荡空间B mo α。然后证明了B mo α与广义Hardy空间h1 α与R α的对偶性。数学学科分类(2020):30H10、30H35、42A38。
{"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}
. 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.
{"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}
{"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}
{"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}
. 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
{"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}
Jonathan L. Merzel, Ján Mináč, Tung T. Nguyen, Federico W. Pasini
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 $le m$?
{"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}
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