{"title":"Spectral representation of absolutely minimum attaining unbounded normal operators","authors":"S. H. Kulkarni, G. Ramesh","doi":"10.7153/oam-2023-17-43","DOIUrl":"https://doi.org/10.7153/oam-2023-17-43","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":"136373480","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":"Absolute matrix order ideals in absolute matrix order unit spaces","authors":"Amit Kumar","doi":"10.7153/oam-2023-17-49","DOIUrl":"https://doi.org/10.7153/oam-2023-17-49","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":"136373746","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":"Converse of Fuglede Theorem","authors":"Hranislav Stanković","doi":"10.7153/oam-2023-17-46","DOIUrl":"https://doi.org/10.7153/oam-2023-17-46","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":"136374766","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 show that each composition operator is isolated in comp ( L p ) ( 1 (cid:2) p (cid:2) ∞ ) under the norm topology. We also prove that while each composition operator is non-isolated in comp ( (cid:2) p ) ( 1 (cid:2) p < ∞ ) under the strong operator topology, every composition operator is isolated in comp ( L ∞ ) under the strong operator topology.
． 本文证明了在范数拓扑下，每个复合算子在comp (L p) (1 (cid:2) p (cid:2)∞)上是孤立的。我们还证明了在强算子拓扑下，每个复合算子在comp ((cid:2) p) (1 (cid:2) p <∞)上是不孤立的，而在强算子拓扑下，每个复合算子在comp (L∞)上是孤立的。
{"title":"Isolation amongst composition operators on $L^p(mu)$-spaces $(1le p le infty)$","authors":"Ashish Naudiyal, H. Chandra","doi":"10.7153/oam-2023-17-13","DOIUrl":"https://doi.org/10.7153/oam-2023-17-13","url":null,"abstract":". In this paper we show that each composition operator is isolated in comp ( L p ) ( 1 (cid:2) p (cid:2) ∞ ) under the norm topology. We also prove that while each composition operator is non-isolated in comp ( (cid:2) p ) ( 1 (cid:2) p < ∞ ) under the strong operator topology, every composition operator is isolated in comp ( L ∞ ) under the strong operator topology.","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":"71224531","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":"Analyticity and stability of semigroup related to an abstract initial-boundary value problem","authors":"Jingting Xu, Jun ie Huang, Alatancang Chen","doi":"10.7153/oam-2023-17-36","DOIUrl":"https://doi.org/10.7153/oam-2023-17-36","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":"71225198","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 Amine Ighachane, Mohammed Bouchangour, Zakaria Taki
{"title":"Some refinements of real power form inequalities for (p,h)-convex functions via weak sub-majorization","authors":"Mohamed Amine Ighachane, Mohammed Bouchangour, Zakaria Taki","doi":"10.7153/oam-2023-17-52","DOIUrl":"https://doi.org/10.7153/oam-2023-17-52","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":"136372934","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":"Invertible elements and commutativity in Banach algebras","authors":"Cheikh Ould Hamoud","doi":"10.7153/oam-2023-17-38","DOIUrl":"https://doi.org/10.7153/oam-2023-17-38","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":"136372950","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 weaving frames in Hilbert spaces","authors":"Dong ei Li, Jing Jiang, Yuxi ng Xu","doi":"10.7153/oam-2023-17-53","DOIUrl":"https://doi.org/10.7153/oam-2023-17-53","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":"136373431","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 generalization of Kleinecke-Shirokov theorem for matrices","authors":"E. Kramar, Marjeta Kramar Fijavž","doi":"10.7153/oam-2023-17-04","DOIUrl":"https://doi.org/10.7153/oam-2023-17-04","url":null,"abstract":". For given square matrices A and B we denote by Y = AB − BA and by Z = AY − YA . It is well known that if A and Y commute, i","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":"71224206","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":"Computing the S-numerical ranges of differential operators","authors":"Ahmed Muhammad, Berivan Azeez, Fatemeh E. Taheri","doi":"10.7153/oam-2023-17-39","DOIUrl":"https://doi.org/10.7153/oam-2023-17-39","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":"136373506","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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