1 citations · 2 across the 5 of their papers we have counts for
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Expanders prevent Property (H)
Bruno de Mendonç Braga, Chris Gartland, Gilles Lancien +3
We show that if a sequence of expander graphs equi-coarsely embeds into a Banach space, then this Banach space fails Kasparov and Yu's Property (H). Consequently, no Banach space w…
New characterizations of the unit vector basis of or
Peter G. Casazza, Stephen J. Dilworth, Denka Kutzarova +1
Motivated by Altshuler's famous characterization of the unit vector basis of or among symmetric bases, we obtain similar characterizations among democratic bases and…
On uniqueness and plentitude of subsymmetric sequences
Peter G. Casazza, Stephen J. Dilworth, Denka Kutzarova +1
We explore the diversity of subsymmetric basic sequences in spaces with a subsymmetric basis. We prove that the subsymmetrization of Tsirelson's original Banach space pro…
A study of conditional spreading sequences
Spiros A. Argyros, Pavlos Motakis, Bünyamin Sari
It is shown that every conditional spreading sequence can be decomposed into two well behaved parts, one being unconditional and the other being convex block homogeneous, i.e. equi…
Arbitrarily distortable Banach spaces of higher order
Kevin Beanland, Ryan Causey, Pavlos Motakis
We study an ordinal rank on the class of Banach spaces with bases that quantifies the distortion of the norm of a given Banach space. The rank , introduced by P. Dodos,…