In recent times, many constants in Banach spaces have been defined and/or studied. Relations and inequalities among them (sometimes very complicated) have been indicated. But not much effort has been devoted to organize all connections, also because the literature on the subject is growing at an always bigger rate. Here we give some new connections which better the insight on some of them. In particular, we improve a known inequality between the von Neumann-Jordan and James constants.
@article{bwmeta1.element.bwnjournal-article-doi-10_4064-sm188-2-3,
author = {J. Alonso and P. Mart\'\i n and P. L. Papini},
title = {Wheeling around von Neumann-Jordan constant in Banach spaces},
journal = {Studia Mathematica},
volume = {187},
year = {2008},
pages = {135-150},
zbl = {1170.46016},
language = {en},
url = {http://dml.mathdoc.fr/item/bwmeta1.element.bwnjournal-article-doi-10_4064-sm188-2-3}
}
J. Alonso; P. Martín; P. L. Papini. Wheeling around von Neumann-Jordan constant in Banach spaces. Studia Mathematica, Tome 187 (2008) pp. 135-150. http://gdmltest.u-ga.fr/item/bwmeta1.element.bwnjournal-article-doi-10_4064-sm188-2-3/