2 papers
math.FA2026
-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…
math.FA2025
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…