{"title":"On Chaotic Operators","authors":"Abdallah M. Abu Jahel, As’ad Y. As’ad","doi":"10.31559/glm2022.12.1.1","DOIUrl":null,"url":null,"abstract":"In this paper, we present new results on chaotic operators on Banach spaces. Also we study the relation between subspacechaoticity and the direct sum of two operators. In particular, we prove that if the direct sum of two operators is a subspacechaotic, then both operators are subspace-chaotic, but the converse is not true in general. We show that this is true under necessary conditions.","PeriodicalId":32454,"journal":{"name":"General Letters in Mathematics","volume":" ","pages":""},"PeriodicalIF":0.0000,"publicationDate":"2022-03-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":"0","resultStr":null,"platform":"Semanticscholar","paperid":null,"PeriodicalName":"General Letters in Mathematics","FirstCategoryId":"1085","ListUrlMain":"https://doi.org/10.31559/glm2022.12.1.1","RegionNum":0,"RegionCategory":null,"ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":null,"EPubDate":"","PubModel":"","JCR":"","JCRName":"","Score":null,"Total":0}
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Abstract
In this paper, we present new results on chaotic operators on Banach spaces. Also we study the relation between subspacechaoticity and the direct sum of two operators. In particular, we prove that if the direct sum of two operators is a subspacechaotic, then both operators are subspace-chaotic, but the converse is not true in general. We show that this is true under necessary conditions.
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