{"title":"Projections and proper infiniteness for corona algebras","authors":"P. W. Ng, Tracy Robin","doi":"10.7153/oam-2023-17-44","DOIUrl":"https://doi.org/10.7153/oam-2023-17-44","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":"136373440","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 joint numerical radius of operators and joint numerical index of a Banach space","authors":"Arpita Mal","doi":"10.7153/oam-2023-17-56","DOIUrl":"https://doi.org/10.7153/oam-2023-17-56","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":"136373741","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 present a constructive proof of Popescu’s Fej´er-Riesz theorem for noncommuting polynomials representing nonnegative “multi-Toeplitz” operators.
{"title":"A constructive proof of a noncommutative Fejér-Riesz theorem","authors":"P. Arora","doi":"10.7153/oam-2023-17-11","DOIUrl":"https://doi.org/10.7153/oam-2023-17-11","url":null,"abstract":". In this paper, we present a constructive proof of Popescu’s Fej´er-Riesz theorem for noncommuting polynomials representing nonnegative “multi-Toeplitz” operators.","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":"71224478","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 zeros of matrix-valued analytic functions","authors":"Z. Monga, W. M. Shah","doi":"10.7153/oam-2023-17-28","DOIUrl":"https://doi.org/10.7153/oam-2023-17-28","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":"71224727","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":"Feedback stabilization of the linearized Viscous Saint-Venant system by constrained Dirichlet boundary control","authors":"Hassen Arfaoui","doi":"10.7153/oam-2023-17-41","DOIUrl":"https://doi.org/10.7153/oam-2023-17-41","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":"136373439","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":"Ideals in Haagerup tensor product of C^∗-ternary rings and TROs","authors":"Arpit Kansal, Ajay Kumar","doi":"10.7153/oam-2023-17-48","DOIUrl":"https://doi.org/10.7153/oam-2023-17-48","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":"136373752","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 iterated discrete Hardy type operators","authors":"A. Kalybay, N. Zhangabergenova","doi":"10.7153/oam-2023-17-07","DOIUrl":"https://doi.org/10.7153/oam-2023-17-07","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":"71224254","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 the ABC spectral radius of cactus graphs","authors":"Zhi in Du, Bo Zhou","doi":"10.7153/oam-2023-17-05","DOIUrl":"https://doi.org/10.7153/oam-2023-17-05","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":"71224339","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}
. An operator T acting on a Banach space X obeys property ( gt ) if the isolated points of the spectrum ( T ) of T which are eigenvalues are exactly those points of the spectrum for which T − is an upper semi-B -Fredholm with index less than or equal to 0. In this paper we study the stability of property ( gt ) under perturbations by fi nite rank operators, by nilpotent operators and, more generally, by algebraic operators commuting with T . Moreover, we study the transfer of property ( gt ) from a bounded linear operator T acting on a Banach space X and a bounded linear operator S acting on a Banach space Y to their tensor product T ⊗ S . Mathematics
{"title":"The stability of property (gt) under perturbation and tensor product","authors":"M. Rashid, M. Chō","doi":"10.7153/oam-2023-17-19","DOIUrl":"https://doi.org/10.7153/oam-2023-17-19","url":null,"abstract":". An operator T acting on a Banach space X obeys property ( gt ) if the isolated points of the spectrum ( T ) of T which are eigenvalues are exactly those points of the spectrum for which T − is an upper semi-B -Fredholm with index less than or equal to 0. In this paper we study the stability of property ( gt ) under perturbations by fi nite rank operators, by nilpotent operators and, more generally, by algebraic operators commuting with T . Moreover, we study the transfer of property ( gt ) from a bounded linear operator T acting on a Banach space X and a bounded linear operator S acting on a Banach space Y to their tensor product T ⊗ S . 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":"71224436","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":"Numerical ranges of some Foguel operators","authors":"Mu an Jiang, I. Spitkovsky","doi":"10.7153/oam-2023-17-14","DOIUrl":"https://doi.org/10.7153/oam-2023-17-14","url":null,"abstract":". The Foguel operator is de fi ned as F T =","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":"71224574","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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