[Banach] Abstract of a paper by Denny H. Leung and Wee-Kee Tang

This is an announcement for the paper "Semilattice structures of spreading models" by Denny H. Leung and Wee-Kee Tang.

Abstract: Given a Banach space X, denote by SP_{w}(X) the set of equivalence classes of spreading models of X generated by normalized weakly null sequences in X. It is known that SP_{w}(X) is a semilattice, i.e., it is a partially ordered set in which every pair of elements has a least upper bound. We show that every countable semilattice that does not contain an infinite increasing sequence is order isomorphic to SP_{w}(X) for some separable Banach space X.

Archive classification: math.FA

Mathematics Subject Classification: 46B20, 46B15

The source file(s), LeungTangSemiLatticeStructureSpdMod.tex: 37531 bytes, is(are) stored in gzipped form as 0708.3126.gz with size 11kb. The corresponding postcript file has gzipped size 92kb.

Submitted from: weekee.tang@nie.edu.sg

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