It is shown that for every k ∈ ℕ and every spreading sequence eₙₙ that generates a uniformly convex Banach space E, there exists a uniformly convex Banach space admitting eₙₙ as a k+1-iterated spreading model, but not as a k-iterated one.
@article{bwmeta1.element.bwnjournal-article-doi-10_4064-sm217-1-4,
author = {Spiros A. Argyros and Pavlos Motakis},
title = {Examples of k-iterated spreading models},
journal = {Studia Mathematica},
volume = {215},
year = {2013},
pages = {57-78},
zbl = {1295.46010},
language = {en},
url = {http://dml.mathdoc.fr/item/bwmeta1.element.bwnjournal-article-doi-10_4064-sm217-1-4}
}
Spiros A. Argyros; Pavlos Motakis. Examples of k-iterated spreading models. Studia Mathematica, Tome 215 (2013) pp. 57-78. http://gdmltest.u-ga.fr/item/bwmeta1.element.bwnjournal-article-doi-10_4064-sm217-1-4/