Geodesic
Examples of $k$-iterated spreading models
Spiros A. Argyros1 ; Pavlos Motakis1
1 Department of Mathematics Faculty of Applied Sciences National Technical University of Athens Zografou Campus 15780, Athens, Greece
Studia Mathematica, Tome 217 (2013) no. 1, pp. 57-78

Voir la notice de l'article provenant de la source Institute of Mathematics Polish Academy of Sciences

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.
DOI : 10.4064/sm217-1-4
Keywords: shown every mathbb every spreading sequence generates uniformly convex banach space nbsp there exists uniformly convex banach space admitting iterated spreading model k iterated

Spiros A. Argyros 1 ; Pavlos Motakis 1

1 Department of Mathematics Faculty of Applied Sciences National Technical University of Athens Zografou Campus 15780, Athens, Greece 
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Spiros A. Argyros; Pavlos Motakis. Examples of $k$-iterated spreading models. Studia Mathematica, Tome 217 (2013) no. 1, pp. 57-78. doi: 10.4064/sm217-1-4

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