4 papers · 1 filter
Lebesgue-type inequalities in greedy approximation
Stephen Dilworth, Gustavo Garrigos, Eugenio Hernandez +2
We present new results regarding Lebesgue-type inequalities for the Weak Chebyshev Greedy Algorithm (WCGA) in uniformly smooth Banach spaces. We improve earlier bounds in Temlyakov…
Embeddings and Lebesgue-type inequalities for the greedy algorithm in Banach spaces
P. M. Berná, O. Blasco, G. Garrigós +2
We obtain Lebesgue-type inequalities for the greedy algorithm for arbitrary complete seminormalized biorthogonal systems in Banach spaces. The bounds are given only in terms of the…
Bracket map for Heisenberg group and the characterization of cyclic subspaces
Davide Barbieri, Eugenio Hernandez, Azita Mayeli
The bracket map was originally considered for locally compact abelian groups. In this work we extend the study of bracket maps to the noncommutative setting, providing characteriza…
Lebesgue type inequalities for quasi-greedy bases
Gustavo Garrigós, Eugenio Hernández, Timur Oikhberg
We show that for quasi-greedy bases in real or complex Banach spaces the error of the thresholding greedy algorithm of order N is bounded by the best N- term error of approximation…