We study orthogonal uniform convexity, a geometric property connected with property (β) of Rolewicz, P-convexity of Kottman, and the fixed point property (see [19, [20]). We consider the coefficient of orthogonal convexity in Köthe spaces and Köthe-Bochner spaces.
@article{bwmeta1.element.bwnjournal-article-doi-10_4064-sm164-2-2, author = {Pawe\l\ Kolwicz and Stefan Rolewicz}, title = {Coefficient of orthogonal convexity of some Banach function spaces}, journal = {Studia Mathematica}, volume = {162}, year = {2004}, pages = {121-138}, zbl = {1067.46036}, language = {en}, url = {http://dml.mathdoc.fr/item/bwmeta1.element.bwnjournal-article-doi-10_4064-sm164-2-2} }
Paweł Kolwicz; Stefan Rolewicz. Coefficient of orthogonal convexity of some Banach function spaces. Studia Mathematica, Tome 162 (2004) pp. 121-138. http://gdmltest.u-ga.fr/item/bwmeta1.element.bwnjournal-article-doi-10_4064-sm164-2-2/