{"title":"ON SQUARE ROOTS AND QUASI-SQUARE ROOTS OF ELEMENTS OF 2-NORMED ALGEBRAS","authors":"A. Zohri","doi":"10.30495/JME.V0I0.1545","DOIUrl":null,"url":null,"abstract":"Abstract. The concept of 2-normed spaces and 2-Banach spacesare considerd as generalization of normed and Banach spaces. Inthe present paper we have studied the existence of square rootsand quasi square roots of some elements of a 2-Banach algebra.Also relation between nth roots and quasi nth root of elements of2-Banach algebras are considered.","PeriodicalId":43745,"journal":{"name":"Journal of Mathematical Extension","volume":" ","pages":""},"PeriodicalIF":0.4000,"publicationDate":"2020-11-26","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":"0","resultStr":null,"platform":"Semanticscholar","paperid":null,"PeriodicalName":"Journal of Mathematical Extension","FirstCategoryId":"1085","ListUrlMain":"https://doi.org/10.30495/JME.V0I0.1545","RegionNum":0,"RegionCategory":null,"ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":null,"EPubDate":"","PubModel":"","JCR":"Q4","JCRName":"MATHEMATICS","Score":null,"Total":0}
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Abstract
Abstract. The concept of 2-normed spaces and 2-Banach spacesare considerd as generalization of normed and Banach spaces. Inthe present paper we have studied the existence of square rootsand quasi square roots of some elements of a 2-Banach algebra.Also relation between nth roots and quasi nth root of elements of2-Banach algebras are considered.
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