On a generalized James constant

We introduce a generalized James constant J(a, X) for a Banach space X, and prove that, if J(a, X) < (3 +a)/2 for some a ∈ [0, 1], then X has uniform normal structure. The class of spaces X with J (1, X) < 2 is proved to contain all u-spaces and their generalizations. For the James constant J(...

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Main Authors: Dhompongsa S., Kaewkhao A., Tasena S.
格式: Article
語言:English
出版: 2014
在線閱讀:http://www.scopus.com/inward/record.url?eid=2-s2.0-0141503446&partnerID=40&md5=7028f2d82a439278ccc5188d81020dfc
http://cmuir.cmu.ac.th/handle/6653943832/5913
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機構: Chiang Mai University
語言: English

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