Some relations between the James (or non-square) constant J(X) and the Jordan-von Neumann constant , and the normal structure coefficient N(X) of Banach spaces X are investigated. Relations between J(X) and J(X*) are given as an answer to a problem of Gao and Lau [16]. Connections between and J(X) are also shown. The normal structure coefficient of a Banach space is estimated by the -constant, which implies that a Banach space with -constant less than 5/4 has the fixed point property.
@article{bwmeta1.element.bwnjournal-article-doi-10_4064-sm144-3-5,
author = {Mikio Kato and Lech Maligranda and Yasuji Takahashi},
title = {On James and Jordan-von Neumann constants and the normal structure coefficient of Banach spaces},
journal = {Studia Mathematica},
volume = {147},
year = {2001},
pages = {275-295},
zbl = {0997.46009},
language = {en},
url = {http://dml.mathdoc.fr/item/bwmeta1.element.bwnjournal-article-doi-10_4064-sm144-3-5}
}
Mikio Kato; Lech Maligranda; Yasuji Takahashi. On James and Jordan-von Neumann constants and the normal structure coefficient of Banach spaces. Studia Mathematica, Tome 147 (2001) pp. 275-295. http://gdmltest.u-ga.fr/item/bwmeta1.element.bwnjournal-article-doi-10_4064-sm144-3-5/