{"title":"Atomic lattices of subspaces of an arbitrary vector space and associated operator algebras","authors":"D. Hadwin, K. Harrison","doi":"10.7153/oam-2022-16-73","DOIUrl":null,"url":null,"abstract":". We study a class of completely distributive, commutative, lattices of subspaces of an arbitrary vector space, and associated operator algebras. Our results are compared with corresponding results for commutative lattices of closed subspaces of a Hilbert space and associated algebras of bounded linear operators.","PeriodicalId":56274,"journal":{"name":"Operators and Matrices","volume":"1 1","pages":""},"PeriodicalIF":0.6000,"publicationDate":"2022-01-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":"0","resultStr":null,"platform":"Semanticscholar","paperid":null,"PeriodicalName":"Operators and Matrices","FirstCategoryId":"100","ListUrlMain":"https://doi.org/10.7153/oam-2022-16-73","RegionNum":4,"RegionCategory":"数学","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":null,"EPubDate":"","PubModel":"","JCR":"Q3","JCRName":"MATHEMATICS","Score":null,"Total":0}
引用次数: 0
Abstract
. We study a class of completely distributive, commutative, lattices of subspaces of an arbitrary vector space, and associated operator algebras. Our results are compared with corresponding results for commutative lattices of closed subspaces of a Hilbert space and associated algebras of bounded linear operators.
期刊介绍：
''Operators and Matrices'' (''OaM'') aims towards developing a high standard international journal which will publish top quality research and expository papers in matrix and operator theory and their applications. The journal will publish mainly pure mathematics, but occasionally papers of a more applied nature could be accepted. ''OaM'' will also publish relevant book reviews.
''OaM'' is published quarterly, in March, June, September and December.
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