Examples of k-iterated spreading models

2011/05/13 by Spiros A. Argyros, Pavlos Motakis
Chemistry · Mathematics · #Advanced Banach Space Theory #Advanced Topology and Set Theory #Banach manifold #Banach space #Chemistry #Combinatorics #Computer science #Discrete mathematics #Fixed Point Theorems Analysis #Geometry #Iterated function #Lp space #Mathematical analysis #Mathematics #Pure mathematics #Regular polygon #Sequence (biology) #Space (punctuation) #Uniformly convex space #math.FA

paper · pdf · doi:10.4064/sm217-1-4

published as Studia Math. 217 (2013), no. 1, 57-78 · 16 pages, no figures

arxiv created 2011/05/13 · openalex publication_date 2013/01/01 · arxiv updated 2016/03/09 · openalex created_date 2025/10/10 · openalex updated_date 2026/08/05

Abstract

It is shown that for every k∈ \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

Citations

• Banach spaces which can be given an equivalent uniformly convex norm
• A Characterization of Banach Spaces Containing l 1