{"title":"基于w * w^{*}字符空间的对偶Banach代数的类锥可服从性质","authors":"A. Sahami, S. Shariati, A. Bodaghi","doi":"10.1515/anly-2021-1026","DOIUrl":null,"url":null,"abstract":"Abstract In this paper, the concept of left ϕ-approximate Connes amenability for a dual Banach algebra 𝒜 {\\mathcal{A}} is studied, where ϕ is a weak * {{}^{*}} -continuous multiplicative linear functional on 𝒜 {\\mathcal{A}} . Some characterizations for module extension dual Banach algebras and matrix algebras are given. Moreover, the notion of approximate left ϕ-Connes biprojectivity for dual Banach algebras is introduced and some concrete examples regarding this new notion are indicated.","PeriodicalId":82310,"journal":{"name":"Philosophic research and analysis","volume":"24 1","pages":"195 - 204"},"PeriodicalIF":0.0000,"publicationDate":"2022-06-29","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":"0","resultStr":"{\"title\":\"On Connes amenable-like properties of dual Banach algebras based on w * w^{*} -character space\",\"authors\":\"A. Sahami, S. Shariati, A. Bodaghi\",\"doi\":\"10.1515/anly-2021-1026\",\"DOIUrl\":null,\"url\":null,\"abstract\":\"Abstract In this paper, the concept of left ϕ-approximate Connes amenability for a dual Banach algebra 𝒜 {\\\\mathcal{A}} is studied, where ϕ is a weak * {{}^{*}} -continuous multiplicative linear functional on 𝒜 {\\\\mathcal{A}} . Some characterizations for module extension dual Banach algebras and matrix algebras are given. Moreover, the notion of approximate left ϕ-Connes biprojectivity for dual Banach algebras is introduced and some concrete examples regarding this new notion are indicated.\",\"PeriodicalId\":82310,\"journal\":{\"name\":\"Philosophic research and analysis\",\"volume\":\"24 1\",\"pages\":\"195 - 204\"},\"PeriodicalIF\":0.0000,\"publicationDate\":\"2022-06-29\",\"publicationTypes\":\"Journal Article\",\"fieldsOfStudy\":null,\"isOpenAccess\":false,\"openAccessPdf\":\"\",\"citationCount\":\"0\",\"resultStr\":null,\"platform\":\"Semanticscholar\",\"paperid\":null,\"PeriodicalName\":\"Philosophic research and analysis\",\"FirstCategoryId\":\"1085\",\"ListUrlMain\":\"https://doi.org/10.1515/anly-2021-1026\",\"RegionNum\":0,\"RegionCategory\":null,\"ArticlePicture\":[],\"TitleCN\":null,\"AbstractTextCN\":null,\"PMCID\":null,\"EPubDate\":\"\",\"PubModel\":\"\",\"JCR\":\"\",\"JCRName\":\"\",\"Score\":null,\"Total\":0}","platform":"Semanticscholar","paperid":null,"PeriodicalName":"Philosophic research and analysis","FirstCategoryId":"1085","ListUrlMain":"https://doi.org/10.1515/anly-2021-1026","RegionNum":0,"RegionCategory":null,"ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":null,"EPubDate":"","PubModel":"","JCR":"","JCRName":"","Score":null,"Total":0}
On Connes amenable-like properties of dual Banach algebras based on w * w^{*} -character space
Abstract In this paper, the concept of left ϕ-approximate Connes amenability for a dual Banach algebra 𝒜 {\mathcal{A}} is studied, where ϕ is a weak * {{}^{*}} -continuous multiplicative linear functional on 𝒜 {\mathcal{A}} . Some characterizations for module extension dual Banach algebras and matrix algebras are given. Moreover, the notion of approximate left ϕ-Connes biprojectivity for dual Banach algebras is introduced and some concrete examples regarding this new notion are indicated.
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