{"title":"On 2×2 positive matrices of τ-measurable operators","authors":"Bahargul Nurahemet, Myrzagali N. Ospanov","doi":"10.7153/oam-2023-17-45","DOIUrl":"https://doi.org/10.7153/oam-2023-17-45","url":null,"abstract":"","PeriodicalId":56274,"journal":{"name":"Operators and Matrices","volume":"35 1","pages":"0"},"PeriodicalIF":0.0,"publicationDate":"2023-01-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"136373711","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":"Uncertainty inequalities for weighted spaces of analytic functions on the unit disk","authors":"F. Soltani","doi":"10.7153/oam-2023-17-20","DOIUrl":"https://doi.org/10.7153/oam-2023-17-20","url":null,"abstract":"","PeriodicalId":56274,"journal":{"name":"Operators and Matrices","volume":"1 1","pages":""},"PeriodicalIF":0.5,"publicationDate":"2023-01-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"71224450","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}
. In this paper, we propose new re fi nements and reverses of real power form for Young-type inequalities, which generalizes the recent inspired results by D. Q. Huy et al. [Linear Al-gebra Appl. 656 (2023), 368-384], and by Y. Ren et al. [J. Inequal. Appl. 2020 (2020), Paper No. 98, 13 p.]. Furthermore, the above re fi nements and reverses are continued to improve via the famous constants consisting of Kantorovich constant and Specht ratio. As applications, we establish operator versions, inequalities for unitarily invariant norms and inequalities for determinants of matrices.
{"title":"Further new refinements and reverses of real power form for Young-type inequalities via famous constants and applications","authors":"Doan Thi Thuy Van, Duong Quoc Huy","doi":"10.7153/oam-2023-17-32","DOIUrl":"https://doi.org/10.7153/oam-2023-17-32","url":null,"abstract":". In this paper, we propose new re fi nements and reverses of real power form for Young-type inequalities, which generalizes the recent inspired results by D. Q. Huy et al. [Linear Al-gebra Appl. 656 (2023), 368-384], and by Y. Ren et al. [J. Inequal. Appl. 2020 (2020), Paper No. 98, 13 p.]. Furthermore, the above re fi nements and reverses are continued to improve via the famous constants consisting of Kantorovich constant and Specht ratio. As applications, we establish operator versions, inequalities for unitarily invariant norms and inequalities for determinants of matrices.","PeriodicalId":56274,"journal":{"name":"Operators and Matrices","volume":"1 1","pages":""},"PeriodicalIF":0.5,"publicationDate":"2023-01-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"71225172","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":"A norm inequality for three real matrices","authors":"Fen Wang","doi":"10.7153/oam-2023-17-54","DOIUrl":"https://doi.org/10.7153/oam-2023-17-54","url":null,"abstract":"","PeriodicalId":56274,"journal":{"name":"Operators and Matrices","volume":"23 1","pages":"0"},"PeriodicalIF":0.0,"publicationDate":"2023-01-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"136373432","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}
Mohamed Chraibi Kaadoud, El Hassan Benabdi, Messaoud Guesba
{"title":"Some inequalities related to numerical radius and distance from scalar operators in Hilbert spaces","authors":"Mohamed Chraibi Kaadoud, El Hassan Benabdi, Messaoud Guesba","doi":"10.7153/oam-2023-17-57","DOIUrl":"https://doi.org/10.7153/oam-2023-17-57","url":null,"abstract":"","PeriodicalId":56274,"journal":{"name":"Operators and Matrices","volume":"23 1","pages":"0"},"PeriodicalIF":0.0,"publicationDate":"2023-01-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"136373442","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":"Addendum to: On a reduction procedure for Horn inequalities in finite von~Neumann algebras","authors":"Benoît Collins, Ken Dykema","doi":"10.7153/oam-2023-17-55","DOIUrl":"https://doi.org/10.7153/oam-2023-17-55","url":null,"abstract":"","PeriodicalId":56274,"journal":{"name":"Operators and Matrices","volume":"23 1","pages":"0"},"PeriodicalIF":0.0,"publicationDate":"2023-01-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"135002614","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}
Suppose $mathcal{A}$ is a separable unital ASH C*-algebra, $mathcal{R}$ is a sigma-finite II$_{infty}$ factor von Neumann algebra, and $pi,rho :mathcal{A}rightarrowmathcal{R}$ are unital $ast$-homomorphisms such that, for every $ainmathcal{A}$, the range projections of $pileft( aright) $ and $rholeft( aright) $ are Murray von Neuman equivalent in $mathcal{R}% $. We prove that $pi$ and $rho$ are approximately unitarily equivalent modulo $mathcal{K}_{mathcal{R}}$, where $mathcal{K}_{mathcal{R}}$ is the norm closed ideal generated by the finite projections in $mathcal{R}$. We also prove a very general result concerning approximate equivalence in arbitrary finite von Neumann algebras.
假设$mathcal{A}$是一个可分的一元ASH C*-代数，$mathcal{R}$是一个sigma-finite II$_{ inty}$因子von Neumann代数，$pi，rho:mathcal{A}右rowmathcal{R}$是一元$ast$-同态，使得对于mathcal{A}$中的每一个$ A ， $pi左(A 右)$和$rho左(A 右)$的范围投影在$mathcal{R}% $中是Murray von Neumann等价的。证明$pi$和$rho$是近似一元等价模$mathcal{K}_{mathcal{R}}$，其中$mathcal{K}_{mathcal{R}}$是由$mathcal{R}$中的有限投影生成的范数闭理想。我们还证明了关于任意有限冯诺依曼代数近似等价的一个非常一般的结果。
{"title":"Approximate equivalence in von Neumann algebras","authors":"Qihui Li, Don Hadwin, Wenjing Liu","doi":"10.7153/oam-2023-17-01","DOIUrl":"https://doi.org/10.7153/oam-2023-17-01","url":null,"abstract":"Suppose $mathcal{A}$ is a separable unital ASH C*-algebra, $mathcal{R}$ is a sigma-finite II$_{infty}$ factor von Neumann algebra, and $pi,rho :mathcal{A}rightarrowmathcal{R}$ are unital $ast$-homomorphisms such that, for every $ainmathcal{A}$, the range projections of $pileft( aright) $ and $rholeft( aright) $ are Murray von Neuman equivalent in $mathcal{R}% $. We prove that $pi$ and $rho$ are approximately unitarily equivalent modulo $mathcal{K}_{mathcal{R}}$, where $mathcal{K}_{mathcal{R}}$ is the norm closed ideal generated by the finite projections in $mathcal{R}$. We also prove a very general result concerning approximate equivalence in arbitrary finite von Neumann algebras.","PeriodicalId":56274,"journal":{"name":"Operators and Matrices","volume":"17 1","pages":"0"},"PeriodicalIF":0.0,"publicationDate":"2023-01-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"135181156","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":"On coproducts of operator ᵉc-systems","authors":"Alexandros Chatzinikolaou","doi":"10.7153/oam-2023-17-30","DOIUrl":"https://doi.org/10.7153/oam-2023-17-30","url":null,"abstract":"","PeriodicalId":56274,"journal":{"name":"Operators and Matrices","volume":"1 1","pages":""},"PeriodicalIF":0.5,"publicationDate":"2023-01-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"71225108","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":"Reverse of Fujii-Seo type log-majorization and its application to the Tsallis relative entropies","authors":"Jian-yi Shi, Ying Dai, Jiah ng Xu","doi":"10.7153/oam-2023-17-35","DOIUrl":"https://doi.org/10.7153/oam-2023-17-35","url":null,"abstract":"","PeriodicalId":56274,"journal":{"name":"Operators and Matrices","volume":"1 1","pages":""},"PeriodicalIF":0.5,"publicationDate":"2023-01-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"71225184","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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