![](/images/graphics-bg.png)
Modulus of Convexity, the Coeffcient R(1,X), and Normal Structure in Banach Spaces
Joint Authors
Jiao, Hongwei
Guo, Yunrui
Wang, Fenghui
Source
Issue
Vol. 2008, Issue 2008 (31 Dec. 2008), pp.1-5, 5 p.
Publisher
Hindawi Publishing Corporation
Publication Date
2008-05-28
Country of Publication
Egypt
No. of Pages
5
Main Subjects
Abstract EN
Let δX(ϵ) and R(1,X) be the modulus of convexity and the Domínguez-Benavides coefficient, respectively.
According to these two geometric parameters, we obtain a sufficient condition for normal structure, that is, a Banach space X has normal structure if 2δX(1+ϵ)>max{(R(1,x)-1)ϵ,1-(1-ϵ/R(1,X)-1)} for some ϵ∈[0,1] which generalizes the known result by Gao and Prus.
American Psychological Association (APA)
Jiao, Hongwei& Guo, Yunrui& Wang, Fenghui. 2008. Modulus of Convexity, the Coeffcient R(1,X), and Normal Structure in Banach Spaces. Abstract and Applied Analysis،Vol. 2008, no. 2008, pp.1-5.
https://search.emarefa.net/detail/BIM-987590
Modern Language Association (MLA)
Jiao, Hongwei…[et al.]. Modulus of Convexity, the Coeffcient R(1,X), and Normal Structure in Banach Spaces. Abstract and Applied Analysis No. 2008 (2008), pp.1-5.
https://search.emarefa.net/detail/BIM-987590
American Medical Association (AMA)
Jiao, Hongwei& Guo, Yunrui& Wang, Fenghui. Modulus of Convexity, the Coeffcient R(1,X), and Normal Structure in Banach Spaces. Abstract and Applied Analysis. 2008. Vol. 2008, no. 2008, pp.1-5.
https://search.emarefa.net/detail/BIM-987590
Data Type
Journal Articles
Language
English
Notes
Includes bibliographical references
Record ID
BIM-987590