Higher Order Spreading Models

Higher Order Spreading Models

We introduce the higher order spreading models associated to a Banach space \(X\). Their definition is based on \(\ff\)-sequences \((x_s)_{s\in\ff}\) with \(\ff\) a regular thin family and the plegma families. We show that the higher order spreading models of a Banach space \(X\) form an increasing...

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Veröffentlicht in:arXiv.org 2012-02
Hauptverfasser: Argyros, S A, Kanellopoulos, V, Tyros, K
Format: Artikel
Sprache:eng
Schlagworte:
Banach spaces
Sequences
Spreading
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Zusammenfassung:We introduce the higher order spreading models associated to a Banach space \(X\). Their definition is based on \(\ff\)-sequences \((x_s)_{s\in\ff}\) with \(\ff\) a regular thin family and the plegma families. We show that the higher order spreading models of a Banach space \(X\) form an increasing transfinite hierarchy \((\mathcal{SM}_\xi(X))_{\xi
ISSN:2331-8422