Examples of k-iterated spreading models

Spiros A. Argyros, and Pavlos Motakis. "Examples of k-iterated spreading models." Studia Mathematica 217.1 (2013): 57-78. <http://eudml.org/doc/286586>.

@article{SpirosA2013,
abstract = {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 $X_\{k+1\}$ admitting eₙₙ as a k+1-iterated spreading model, but not as a k-iterated one.},
author = {Spiros A. Argyros, Pavlos Motakis},
journal = {Studia Mathematica},
keywords = {spreading models; iterated spreading models; uniformly convex Banach spaces; symmetric bases},
language = {eng},
number = {1},
pages = {57-78},
title = {Examples of k-iterated spreading models},
url = {http://eudml.org/doc/286586},
volume = {217},
year = {2013},
}

TY - JOUR
AU - Spiros A. Argyros
AU - Pavlos Motakis
TI - Examples of k-iterated spreading models
JO - Studia Mathematica
PY - 2013
VL - 217
IS - 1
SP - 57
EP - 78
AB - 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 $X_{k+1}$ admitting eₙₙ as a k+1-iterated spreading model, but not as a k-iterated one.
LA - eng
KW - spreading models; iterated spreading models; uniformly convex Banach spaces; symmetric bases
UR - http://eudml.org/doc/286586
ER -