{"title":"Dual Spaces","authors":"J. Peterson","doi":"10.1201/9781315166209-13","DOIUrl":"https://doi.org/10.1201/9781315166209-13","url":null,"abstract":"Definition 1 (Dual Space) Let V be a finite dimensional vector space. (a) A linear functional on V is a function u * : V → IR that is linear in the sense that u * (v + w) = u * (v) + u * (w) and u * (α v) = α u * (v) for all u, w ∈ V and all α ∈ IR.","PeriodicalId":430469,"journal":{"name":"Basic Analysis III","volume":"76 1","pages":"0"},"PeriodicalIF":0.0,"publicationDate":"2020-07-19","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"115021253","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":0,"RegionCategory":"","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}