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arXiv · 1105.2714

Examples of k-iterated spreading models

Spiros A. Argyros·Pavlos Motakis
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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.

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Spiros A. Argyros, Pavlos Motakis. 2011-05-13. Examples of k-iterated spreading models. https://doi.org/10.4064/sm217-1-4

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