English

Examples of k-iterated spreading models

Functional Analysis 2016-03-09 v1

Abstract

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

Keywords

Cite

@article{arxiv.1105.2714,
  title  = {Examples of k-iterated spreading models},
  author = {Spiros A. Argyros and Pavlos Motakis},
  journal= {arXiv preprint arXiv:1105.2714},
  year   = {2016}
}

Comments

16 pages, no figures

R2 v1 2026-06-21T18:06:57.854Z