We prove that the symmetric convexified Tsirelson space is of weak cotype 2 but not of cotype 2.
@article{bwmeta1.element.bwnjournal-article-doi-10_4064-sm157-1-1,
author = {Peter G. Casazza and Niels J. Nielsen},
title = {A Banach space with a symmetric basis which is of weak cotype 2 but not of cotype 2},
journal = {Studia Mathematica},
volume = {157},
year = {2003},
pages = {1-16},
zbl = {1032.46011},
language = {en},
url = {http://dml.mathdoc.fr/item/bwmeta1.element.bwnjournal-article-doi-10_4064-sm157-1-1}
}
Peter G. Casazza; Niels J. Nielsen. A Banach space with a symmetric basis which is of weak cotype 2 but not of cotype 2. Studia Mathematica, Tome 157 (2003) pp. 1-16. http://gdmltest.u-ga.fr/item/bwmeta1.element.bwnjournal-article-doi-10_4064-sm157-1-1/