Examples of $k$-iterated spreading models
Volume 217 / 2013
Studia Mathematica 217 (2013), 57-78
MSC: Primary 46B03, 46B06, 46B25, 46B45.
DOI: 10.4064/sm217-1-4
Abstract
It is shown that for every $k\in \mathbb {N}$ and every spreading sequence $\{e_n\}_{n}$ that generates a uniformly convex Banach space $E$, there exists a uniformly convex Banach space $X_{k+1}$ admitting $\{e_n\}_{n}$ as a $k+1$-iterated spreading model, but not as a $k$-iterated one.
