关于CV_{(0)}(X, A)的一些性质

IF 0.3 Q4 MATHEMATICS Acta et Commentationes Universitatis Tartuensis de Mathematica Pub Date : 2022-11-23 DOI:10.12697/acutm.2022.26.15

L. Palacios, Pavel Ramos-Martinez, C. Signoret

{"title":"关于CV_{(0)}(X, A)的一些性质","authors":"L. Palacios, Pavel Ramos-Martinez, C. Signoret","doi":"10.12697/acutm.2022.26.15","DOIUrl":null,"url":null,"abstract":"Let X be a completely regular Hausdorff space and V a Nachbin familyon X. For a locally convex algebra A, let CV(0)(X, A) be the algebra ofall weighted vector-valued continuous functions with the topology givenby the uniform seminorms induced by V . In this paper we study someproperties of A that are inherited by CV(0)(X, A). These properties arerelated to the unit element, spectral seminorms and uniformly A-convexproperty","PeriodicalId":42426,"journal":{"name":"Acta et Commentationes Universitatis Tartuensis de Mathematica","volume":"41 1","pages":""},"PeriodicalIF":0.3000,"publicationDate":"2022-11-23","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":"0","resultStr":"{\"title\":\"On some properties of CV_{(0)}(X, A)\",\"authors\":\"L. Palacios, Pavel Ramos-Martinez, C. Signoret\",\"doi\":\"10.12697/acutm.2022.26.15\",\"DOIUrl\":null,\"url\":null,\"abstract\":\"Let X be a completely regular Hausdorff space and V a Nachbin familyon X. For a locally convex algebra A, let CV(0)(X, A) be the algebra ofall weighted vector-valued continuous functions with the topology givenby the uniform seminorms induced by V . In this paper we study someproperties of A that are inherited by CV(0)(X, A). These properties arerelated to the unit element, spectral seminorms and uniformly A-convexproperty\",\"PeriodicalId\":42426,\"journal\":{\"name\":\"Acta et Commentationes Universitatis Tartuensis de Mathematica\",\"volume\":\"41 1\",\"pages\":\"\"},\"PeriodicalIF\":0.3000,\"publicationDate\":\"2022-11-23\",\"publicationTypes\":\"Journal Article\",\"fieldsOfStudy\":null,\"isOpenAccess\":false,\"openAccessPdf\":\"\",\"citationCount\":\"0\",\"resultStr\":null,\"platform\":\"Semanticscholar\",\"paperid\":null,\"PeriodicalName\":\"Acta et Commentationes Universitatis Tartuensis de Mathematica\",\"FirstCategoryId\":\"1085\",\"ListUrlMain\":\"https://doi.org/10.12697/acutm.2022.26.15\",\"RegionNum\":0,\"RegionCategory\":null,\"ArticlePicture\":[],\"TitleCN\":null,\"AbstractTextCN\":null,\"PMCID\":null,\"EPubDate\":\"\",\"PubModel\":\"\",\"JCR\":\"Q4\",\"JCRName\":\"MATHEMATICS\",\"Score\":null,\"Total\":0}","platform":"Semanticscholar","paperid":null,"PeriodicalName":"Acta et Commentationes Universitatis Tartuensis de Mathematica","FirstCategoryId":"1085","ListUrlMain":"https://doi.org/10.12697/acutm.2022.26.15","RegionNum":0,"RegionCategory":null,"ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":null,"EPubDate":"","PubModel":"","JCR":"Q4","JCRName":"MATHEMATICS","Score":null,"Total":0}

引用次数: 0

摘要

设X是一个完全正则Hausdorff空间，V是一个Nachbin族X。对于一个局部凸代数a，设CV(0)(X, a)是所有加权向量值连续函数的代数，其拓扑由V导出的一致半模给出。本文研究了CV(0)(X, A)所继承的A的一些性质，这些性质与单位元、谱半模和一致A-凸性有关

本文章由计算机程序翻译，如有差异，请以英文原文为准。

查看原文

微信好友朋友圈 QQ好友复制链接

本刊更多论文

On some properties of CV_{(0)}(X, A)

Let X be a completely regular Hausdorff space and V a Nachbin familyon X. For a locally convex algebra A, let CV(0)(X, A) be the algebra ofall weighted vector-valued continuous functions with the topology givenby the uniform seminorms induced by V . In this paper we study someproperties of A that are inherited by CV(0)(X, A). These properties arerelated to the unit element, spectral seminorms and uniformly A-convexproperty

求助全文

通过发布文献求助，成功后即可免费获取论文全文。去求助

来源期刊