S. Dilworth

activity

19922026

most citedExplicit constructions of RIP matrices and related problems

180 citations · 325 across the 53 of their papers we have counts for

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Showing 2022Show all

3 papers · 1 filter

math.FA2022★ 2 cited

Duals of Tirilman spaces have unique subsymmetric basic sequences

Stephen. J. Dilworth, Denka Kutzarova, Bünyamin Sarı +1

The Tirilman spaces $T i (p, γ)$ , $1 < p < \infty$ , were introduced by Casazza and Shura as variations of the spaces constructed by Tzafriri. We prove that all subsymmetric basic sequence…

math.FA2022

New characterizations of the unit vector basis of $c_{0}$ or $ℓ_{p}$

Peter G. Casazza, Stephen J. Dilworth, Denka Kutzarova +1

Motivated by Altshuler's famous characterization of the unit vector basis of $c_{0}$ or $ℓ_{p}$ among symmetric bases, we obtain similar characterizations among democratic bases and…

math.FA2022

Metric embeddings of Laakso graphs into Banach spaces

S. J. Dilworth, Denka Kutzarova, Svetozar Stankov

Let $X$ be Banach space which is not super-reflexive. Then, for each $n \geq 1$ and $ε > 0$ , we exhibit metric embeddings of the Laakso graph $L_{n}$ into $X$ with dis…

Duals of Tirilman spaces have unique subsymmetric basic sequences

New characterizations of the unit vector basis of c0​ or ℓp​

Metric embeddings of Laakso graphs into Banach spaces

New characterizations of the unit vector basis of $c_{0}$ or $ℓ_{p}$