Article ID | Journal | Published Year | Pages | File Type |
---|---|---|---|---|
4666159 | Advances in Mathematics | 2013 | 44 Pages |
Abstract
Extending the classical notion of spreading model, the kk-spreading models of a Banach space are introduced, for every k∈Nk∈N. The definition, which is based on the kk-sequences and plegma families, reveals a new class of spreading sequences associated to a Banach space. Most of the results of the classical theory are stated and proved in the higher order setting. Moreover, new phenomena like the universality of the class of the 2-spreading models of c0c0 and the composition property are established. As consequence, a problem concerning the structure of the kk-iterated spreading models is solved.
Keywords
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Physical Sciences and Engineering
Mathematics
Mathematics (General)
Authors
S.A. Argyros, V. Kanellopoulos, K. Tyros,