{"title":"Geometric constants and orthogonality in Banach spaces","authors":"Yin Zhou, Qichuan Ni, Qi Liu, Yongjin Li","doi":"10.47443/cm.2023.045","DOIUrl":null,"url":null,"abstract":"Based on the parallelogram law and orthogonality, we define a new geometric constant and obtain some of its geometric properties. This constant provides a useful tool for estimating the exact values of Jordan-von Neumann constants in Banach spaces and for studying the orthogonality. In addition, we consider Pythagorean orthogonality and introduce another new constant to investigate a connection between Pythagorean orthogonality and isosceles orthogonality","PeriodicalId":48938,"journal":{"name":"Contributions To Discrete Mathematics","volume":null,"pages":null},"PeriodicalIF":0.4000,"publicationDate":"2023-09-11","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":"0","resultStr":null,"platform":"Semanticscholar","paperid":null,"PeriodicalName":"Contributions To Discrete Mathematics","FirstCategoryId":"1085","ListUrlMain":"https://doi.org/10.47443/cm.2023.045","RegionNum":4,"RegionCategory":"数学","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":null,"EPubDate":"","PubModel":"","JCR":"Q4","JCRName":"MATHEMATICS","Score":null,"Total":0}
引用次数: 0
Abstract
Based on the parallelogram law and orthogonality, we define a new geometric constant and obtain some of its geometric properties. This constant provides a useful tool for estimating the exact values of Jordan-von Neumann constants in Banach spaces and for studying the orthogonality. In addition, we consider Pythagorean orthogonality and introduce another new constant to investigate a connection between Pythagorean orthogonality and isosceles orthogonality
期刊介绍：
Contributions to Discrete Mathematics (ISSN 1715-0868) is a refereed e-journal dedicated to publishing significant results in a number of areas of pure and applied mathematics. Based at the University of Calgary, Canada, CDM is free for both readers and authors, edited and published online and will be mirrored at the European Mathematical Information Service and the National Library of Canada.
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