A note on Jordan-von Neumann constant and James constant |
| |
Authors: | Changsen Yang |
| |
Institution: | College of Mathematics and Information Science, Henan Normal University, Henan, Xinxiang 453007, PR China |
| |
Abstract: | Let X be a non-trivial Banach space. L. Maligranda conjectured CNJ(X)?1+J2(X)/4 for James constant J(X) and von Neumann-Jordan constant CNJ(X) of X. Satit Saejung gave a proof of it in 2006. In this note, we show that the last step in Satit Saejung's proof is not valid. Using his proof, the result should be . On the other hand, we give a new proof of CNJ(X)?1+J2(X)/4. As an application, we give a relation between J(X) and J(lp(X)). |
| |
Keywords: | von Neumann-Jordan constant James constant |
本文献已被 ScienceDirect 等数据库收录! |
|