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math.FA2016
Lebesgue inequalities for the greedy algorithm in general bases
Pablo M. Berná, Gustavo Garrigós, Óscar Blasco
We present various estimates for the Lebesgue constants of the thresholding greedy algorithm, in the case of general bases in Banach spaces. We show the optimality of these estimat…
math.FA2016
Characterization of greedy bases in Banach spaces
Pablo M. Berná, Óscar Blasco
We shall present a new characterization of greedy bases and 1-greedy bases in terms of certain functionals defined using distances to one dimensional subspaces generated by the bas…