This paper deals with a few, not widely known, aspects of Kottman's constant of a Banach space and its symmetric and finite variations. We will consider their behaviour under ultrapowers, relations with other parameters such as Whitley's or James' constant, and connection with the extension of c₀-valued Lipschitz maps.
@article{bwmeta1.element.bwnjournal-article-doi-10_4064-bc92-0-5, author = {Jes\'us M. F. Castillo and Pier Luigi Papini}, title = {On Kottman's constants in Banach spaces}, journal = {Banach Center Publications}, volume = {95}, year = {2011}, pages = {75-84}, zbl = {1247.46008}, language = {en}, url = {http://dml.mathdoc.fr/item/bwmeta1.element.bwnjournal-article-doi-10_4064-bc92-0-5} }
Jesús M. F. Castillo; Pier Luigi Papini. On Kottman's constants in Banach spaces. Banach Center Publications, Tome 95 (2011) pp. 75-84. http://gdmltest.u-ga.fr/item/bwmeta1.element.bwnjournal-article-doi-10_4064-bc92-0-5/