Spreading Models in Banach Space Theory

2010/06/04 by Spiros A. Argyros, Argyros, S. A., Vassilis Kanellopoulos +3 · 2 citations
Mathematics · #Advanced Banach Space Theory #Point processes and geometric inequalities #Limits and Structures in Graph Theory

paper · pdf · doi:10.48550/arxiv.1006.0957

Abstract

We extend the classical Brunel-Sucheston definition of the spreading model by introducing the F-sequences (x_s)_s\inF in a Banach space and the plegma families in F where F is a regular thin family. The new concept yields a transfinite increasing hierarchy of classes of spreading sequences. We explore the corresponding theory and we present examples establishing this hierarchy and illustrating the limitation of the theory.

Citations

• On a Problem of Formal Logic

Cited by

• A c₀ saturated Banach space with tight structure
• On the structure of the set of higher order spreading models

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