[Banach] Abstract of a paper by Spiros A. Argyros and Pavlos Motakis

This is an announcement for the paper "Examples of k-iterated spreading models" by Spiros A. Argyros and Pavlos Motakis.

Abstract: It is shown that for every $k\in\mathbb{N}$ and every spreading sequence ${e_n}_{n\in\mathbb{N}}$ that generates a uniformly convex Banach space $E$, there exists a uniformly convex Banach space $X_{k+1}$ admitting ${e_n}_{n\in\mathbb{N}}$ as a $k+1$-iterated spreading model, but not as a $k$-iterated one.

Archive classification: math.FA

Remarks: 16 pages, no figures

Submitted from: pmotakis@central.ntua.gr

The paper may be downloaded from the archive by web browser from URL

http://front.math.ucdavis.edu/1105.2714

or

http://arXiv.org/abs/1105.2714