180 citations · 325 across the 53 of their papers we have counts for
55 papers
Quotients of by subsequences of the Haar system have cotype 2
Stephen Dilworth, Denka Kutzarova, Mikhail Ostrovskii +1
Let be the closed linear span of a subsequence of the Haar system in . We prove that the quotient space has cotype~. This result implies that transportation cos…
-rotundity of some nonseparable abstract interpolation spaces
Stephen Dilworth, Denka Kutzarova
Generalizing a construction due to Argyros and Motakis \cite{AM}, we define a nonseparable abstract interpolation space associated to any given reflexive space with an unconditiona…
Summability Methods for the Greedy Algorithm in Banach spaces
Miguel Berasategui, Pablo M. Berná, Stephen J. Dilworth +1
For the past 25 years, one of the most studied algorithms in the field of Nonlinear Approximation Theory has been the Thresholding Greedy Algorithm. In this paper, we propose new s…
-rotund norms for unconditional and symmetric sequence spaces
Stephen Dilworth, Denka Kutzarova, Pavlos Motakis
A reflexive Banach space with an unconditional basis admits an equivalent -unconditional norm and embeds into a reflexive space with a -symmetric norm. Partial resu…
-rotund norms for generalized Baernstein spaces and their duals
S. J. Dilworth, Denka Kutzarova
We consider a generalized Baernstein space associated to a compact family of finite subsets of an uncountable set. We show that for certain transfinitely defined families such spac…
Cycle spaces: invariant projections and applications to transportation cost
Stephen J. Dilworth, Denka Kutzarova, Mikhail I. Ostrovskii
The paper starts with discussion of applications of cycle spaces to transportation cost. After a short survey of the known results on cycle spaces, we turn to the study of minimal…