Session III.2 - Approximation Theory
Poster
Approximation spaces and greedy-like bases
Pablo Manuel Berná
CUNEF Universidad, Spain - This email address is being protected from spambots. You need JavaScript enabled to view it.
The approximation spaces are one of the most famous spaces studied in the field of approximation theory. In that ocassion, our purpose is to study the equivalence (under a quasi-norm) between approximation spaces and some greedy-like classes using weights. Thanks to our study, we obtain sufficient conditions of when certain continuous embeddings imply different greedy-type properties. Along the way, we generalize a result by P. Wojtaszczyk as well as characterize semi-greedy Schauder bases in quasi-Banach spaces.
Joint work with Eugenio Hernández (Universidad Autónoma de Madrid) and Hung Viet Chu (University of Illinois at Urbana-Champaign).