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The James constant for the l 3 − l 1 space

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Abstract

In this note, the exact value of the James constant for the l 3 − l 1 space is obtained, J(l 3 − l 1) = 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.

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Authors and Affiliations

  1. He’nan Engineering Laboratory for Big Data Statistical Analysis and Optimal Control, School of Mathematics and Information Sciences, He’nan Normal University, Xinxiang, 453007, P. R. China

    Chang Sen Yang & Hai Ying Li

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  1. Chang Sen Yang
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  2. Hai Ying Li
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Correspondence to Chang Sen Yang.

Additional information

Supported by National Natural Science Foundation of China (Grant Nos. 11271112, 11201127) and IRTSTHN (Grant No. 14IRTSTHN023)

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Yang, C.S., Li, H.Y. The James constant for the l 3 − l 1 space. Acta. Math. Sin.-English Ser. 32, 1075–1079 (2016). https://doi.org/10.1007/s10114-016-5423-5

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  • DOI: https://doi.org/10.1007/s10114-016-5423-5

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