Marina Haralampidou, Lourdes Palacios, Carlos Signoret
{"title":"某些拓扑代数的乘法器代数之间的同构关系","authors":"Marina Haralampidou, Lourdes Palacios, Carlos Signoret","doi":"10.1007/s00009-024-02647-8","DOIUrl":null,"url":null,"abstract":"<p>We study the topological algebra identification of the multiplier algebra of a certain algebra <i>E</i> and that of a closed left ideal in <i>E</i>. The case when one of the algebras is a Segal topological algebra in the other is considered. We also study this problem in the context of locally <span>\\(C^{*}\\)</span>-algebras.</p>","PeriodicalId":1,"journal":{"name":"Accounts of Chemical Research","volume":null,"pages":null},"PeriodicalIF":16.4000,"publicationDate":"2024-04-25","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":"0","resultStr":"{\"title\":\"Isomorphisms Between the Multiplier Algebras of Certain Topological Algebras\",\"authors\":\"Marina Haralampidou, Lourdes Palacios, Carlos Signoret\",\"doi\":\"10.1007/s00009-024-02647-8\",\"DOIUrl\":null,\"url\":null,\"abstract\":\"<p>We study the topological algebra identification of the multiplier algebra of a certain algebra <i>E</i> and that of a closed left ideal in <i>E</i>. The case when one of the algebras is a Segal topological algebra in the other is considered. We also study this problem in the context of locally <span>\\\\(C^{*}\\\\)</span>-algebras.</p>\",\"PeriodicalId\":1,\"journal\":{\"name\":\"Accounts of Chemical Research\",\"volume\":null,\"pages\":null},\"PeriodicalIF\":16.4000,\"publicationDate\":\"2024-04-25\",\"publicationTypes\":\"Journal Article\",\"fieldsOfStudy\":null,\"isOpenAccess\":false,\"openAccessPdf\":\"\",\"citationCount\":\"0\",\"resultStr\":null,\"platform\":\"Semanticscholar\",\"paperid\":null,\"PeriodicalName\":\"Accounts of Chemical Research\",\"FirstCategoryId\":\"100\",\"ListUrlMain\":\"https://doi.org/10.1007/s00009-024-02647-8\",\"RegionNum\":1,\"RegionCategory\":\"化学\",\"ArticlePicture\":[],\"TitleCN\":null,\"AbstractTextCN\":null,\"PMCID\":null,\"EPubDate\":\"\",\"PubModel\":\"\",\"JCR\":\"Q1\",\"JCRName\":\"CHEMISTRY, MULTIDISCIPLINARY\",\"Score\":null,\"Total\":0}","platform":"Semanticscholar","paperid":null,"PeriodicalName":"Accounts of Chemical Research","FirstCategoryId":"100","ListUrlMain":"https://doi.org/10.1007/s00009-024-02647-8","RegionNum":1,"RegionCategory":"化学","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":null,"EPubDate":"","PubModel":"","JCR":"Q1","JCRName":"CHEMISTRY, MULTIDISCIPLINARY","Score":null,"Total":0}
引用次数: 0
摘要
我们研究了某一代数 E 的乘子代数与 E 中一个封闭左理想的乘子代数的拓扑代数辨识。我们还在局部(C^{*}\)-代数的背景下研究了这个问题。
Isomorphisms Between the Multiplier Algebras of Certain Topological Algebras
We study the topological algebra identification of the multiplier algebra of a certain algebra E and that of a closed left ideal in E. The case when one of the algebras is a Segal topological algebra in the other is considered. We also study this problem in the context of locally \(C^{*}\)-algebras.
期刊介绍:
Accounts of Chemical Research presents short, concise and critical articles offering easy-to-read overviews of basic research and applications in all areas of chemistry and biochemistry. These short reviews focus on research from the author’s own laboratory and are designed to teach the reader about a research project. In addition, Accounts of Chemical Research publishes commentaries that give an informed opinion on a current research problem. Special Issues online are devoted to a single topic of unusual activity and significance.
Accounts of Chemical Research replaces the traditional article abstract with an article "Conspectus." These entries synopsize the research affording the reader a closer look at the content and significance of an article. Through this provision of a more detailed description of the article contents, the Conspectus enhances the article's discoverability by search engines and the exposure for the research.