Higher order spreading models
S. A. Argyros ; V. Kanellopoulos ; K. Tyros
Fundamenta Mathematicae, Tome 220 (2013), p. 23-68 / Harvested from The Polish Digital Mathematics Library
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We introduce higher order spreading models associated to a Banach space X. Their definition is based on ℱ-sequences (xs)s∈ℱ with ℱ a regular thin family and on plegma families. We show that the higher order spreading models of a Banach space X form an increasing transfinite hierarchy (ℳξ(X))ξ<ω₁. Each ℳξ(X) contains all spreading models generated by ℱ-sequences (xs)s∈ℱ with order of ℱ equal to ξ. We also study the fundamental properties of this hierarchy.

Publié le : 2013-01-01
EUDML-ID : urn:eudml:doc:286676 
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     title = {Higher order spreading models},
     journal = {Fundamenta Mathematicae},
     volume = {220},
     year = {2013},
     pages = {23-68},
     zbl = {1296.46010},
     language = {en},
     url = {http://dml.mathdoc.fr/item/bwmeta1.element.bwnjournal-article-doi-10_4064-fm221-1-2}
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S. A. Argyros; V. Kanellopoulos; K. Tyros. Higher order spreading models. Fundamenta Mathematicae, Tome 220 (2013) pp. 23-68. http://gdmltest.u-ga.fr/item/bwmeta1.element.bwnjournal-article-doi-10_4064-fm221-1-2/