The James constant for the l 3 − l 1 space

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• 作者：Chang Sen Yang ; Hai Ying Li
• 刊名：Acta Mathematica Sinica
• 出版年：2016
• 出版时间：September 2016
• 年：2016
• 卷：32
• 期：9
• 页码：1075-1079
• 全文大小：169 KB
• 刊物类别：Mathematics and Statistics
• 刊物主题：Mathematics
  Mathematics
  Chinese Library of Science
  
• 出版者：Institute of Mathematics, Chinese Academy of Sciences and Chinese Mathematical Society, co-published
• ISSN：1439-7617
• 卷排序：32

文摘

In this note, the exact value of the James constant for the l₃ − l₁ space is obtained, J(l₃ − l₁) = 1.5573 ···. This result improves the known inequality, \(J\left( {{l_3} - {l_1}} \right) \leqslant \frac{4}{{\sqrt[3]{{10}}}}\), which was given by Dhompongsa, Piraisangjun and Saejung.KeywordsJames constantmodulus of convexityl₃ − l₁ space