2022/07/06 by Berná, Pablo M., Chu, Hung Viet, Hernández, Eugenio
#FOS: Mathematics #Functional Analysis (math.FA)
paper · doi:10.48550/arxiv.2207.02554
The purpose of this paper is to introduce ω-Chebyshev-greedy and ω-partially greedy approximation classes and to study their relation with ω-approximation spaces, where the latter are a generalization of the classical approximation spaces. The relation gives us 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, generalizing a previous result by the first author.